An improved treatment of saturation nonlinearity with its application to control of systems subject to nested saturation

This paper is concerned with the treatment of saturation nonlinearity existing commonly in practical control systems. An improved treatment of such nonlinearity is proposed, which includes the well-known linear differential inclusion method for handling saturation nonlinearity as a special case. To...

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Published in	Automatica (Oxford) Vol. 47; no. 2; pp. 306 - 315
Main Authors	Zhou, Bin, Zheng, Wei Xing, Duan, Guang-Ren
Format	Journal Article
Language	English
Published	Kidlington Elsevier Ltd 01.02.2011 Elsevier
Subjects	Applied sciences Complement Computer science; control theory; systems Control system analysis Control system synthesis Control systems Control theory. Systems Design engineering Exact sciences and technology Linear systems Local stability and stabilization Mathematical analysis Mathematical models Nested saturation Nonlinear systems Nonlinearity Saturation Saturation nonlinearity Local stability and stabilization Nonlinear systems Nested saturation Saturation nonlinearity Stabilization Saturation Non linear control Differential inclusion Differential method Non linear system Local effect
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Abstract	This paper is concerned with the treatment of saturation nonlinearity existing commonly in practical control systems. An improved treatment of such nonlinearity is proposed, which includes the well-known linear differential inclusion method for handling saturation nonlinearity as a special case. To show the effectiveness of this new treatment, the problem of analysis and design of linear systems subject to nested saturation function is revisited. The proposed results not only complement the existing work on this problem, but also are less conservative than the existing methods. Four numerical examples are worked out to illustrate the applicability of the established approaches.
AbstractList	This paper is concerned with the treatment of saturation nonlinearity existing commonly in practical control systems. An improved treatment of such nonlinearity is proposed, which includes the well-known linear differential inclusion method for handling saturation nonlinearity as a special case. To show the effectiveness of this new treatment, the problem of analysis and design of linear systems subject to nested saturation function is revisited. The proposed results not only complement the existing work on this problem, but also are less conservative than the existing methods. Four numerical examples are worked out to illustrate the applicability of the established approaches.
Author	Zhou, Bin Zheng, Wei Xing Duan, Guang-Ren
Author_xml	– sequence: 1 givenname: Bin surname: Zhou fullname: Zhou, Bin email: binzhoulee@163.com, binzhou@hit.edu.cn organization: Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P.O. Box 416, Harbin, 150001, China – sequence: 2 givenname: Wei Xing surname: Zheng fullname: Zheng, Wei Xing email: W.Zheng@uws.edu.au organization: School of Computing and Mathematics, University of Western Sydney, Penrith South DC NSW 1797, Australia – sequence: 3 givenname: Guang-Ren surname: Duan fullname: Duan, Guang-Ren email: g.r.duan@hit.edu.cn organization: Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P.O. Box 416, Harbin, 150001, China
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Cites_doi	10.1109/9.362853 10.1016/0167-6911(93)90033-3 10.1016/j.automatica.2004.02.009 10.1080/00207170110088276 10.1016/S0005-1098(01)00209-6 10.1016/S0167-6911(02)00176-7 10.1016/j.sysconle.2007.12.011 10.1016/S0005-1098(00)00051-0 10.1109/TAC.2004.837572 10.1109/TAC.2002.806654 10.1109/TAC.2003.814276 10.1109/TAC.2006.878743 10.1109/9.362894 10.1109/TAC.2003.809148 10.1109/CDC.2005.1583157 10.1109/9.981738 10.1109/87.486343 10.1016/j.automatica.2004.02.012 10.1137/050626582 10.1016/S0167-6911(02)00246-3 10.1080/00207170701760144 10.1109/9.898703
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Keywords	Local stability and stabilization Nonlinear systems Nested saturation Saturation nonlinearity Stabilization Saturation Non linear control Differential inclusion Differential method Non linear system Local effect
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References	Sussmann, Sontag, Yang (br000115) 1994; 39 Hu, Lin (br000055) 2002; 47 Hu, Lin, Qiu (br000065) 2002; 47 Alamo, T., Cepeda, A., & Limon, D. (2005). Improved computation of ellipsoidal invariant sets for saturated control systems. In Huang, Lam (br000075) 2002; 75 Gomes da Silva, Tarbouriech (br000040) 2001; 46 (pp. 903–908). Teel (br000130) 1995; 40 Tarbouriech, Prieur, Gomes da Silva (br000125) 2006; 51 Lin, Saberi (br000100) 1993; 21 Hindi, H., & Boyd, S. (1998). Analysis of linear systems with saturating using convex optimization. In (br000085) 2002 Berg, Hammett, Schwartz, Banda (br000015) 1996; 4 (pp. 343–347). Hu, Lin (br000050) 2001 Yakoubi, Chitour (br000140) 2006; 45 Lan, Huang (br000095) 2003; 48 (pp. 6216–6221). Khalil (br000090) 2002 Chen, Lee, Peng, Venkataramanan (br000025) 2003; 48 Cao, Lin, Ward (br000020) 2004; 40 Wu, F., Grigoriadis, K. M., & Packard, A. (1998). Anti-windup controller synthesis via linear parameter-varying control design methods. In Nguyen, Jabbari (br000110) 2000; 36 Fang, Lin, Hu (br000030) 2004; 40 (br000120) 2007; Vol. 346 Bateman, Lin (br000010) 2003; 48 Mazenc, Mondié, Niculescu (br000105) 2003; 48 Zhou, Duan (br000150) 2008; 81 Kaliora, Astolfi (br000080) 2004; 49 Hu, Lin, Qiu (br000070) 2003; 46 Gahinet, Nemirovski, Laub, Chilali (br000035) 1995 Zheng, Wu (br000145) 2008; 57 Hu, Lin, Chen (br000060) 2002; 38 10.1016/j.automatica.2010.10.001_br000005 Fang (10.1016/j.automatica.2010.10.001_br000030) 2004; 40 Gomes da Silva (10.1016/j.automatica.2010.10.001_br000040) 2001; 46 Berg (10.1016/j.automatica.2010.10.001_br000015) 1996; 4 Gahinet (10.1016/j.automatica.2010.10.001_br000035) 1995 10.1016/j.automatica.2010.10.001_br000045 (10.1016/j.automatica.2010.10.001_br000120) 2007; Vol. 346 Hu (10.1016/j.automatica.2010.10.001_br000065) 2002; 47 Hu (10.1016/j.automatica.2010.10.001_br000050) 2001 Khalil (10.1016/j.automatica.2010.10.001_br000090) 2002 Lin (10.1016/j.automatica.2010.10.001_br000100) 1993; 21 Mazenc (10.1016/j.automatica.2010.10.001_br000105) 2003; 48 Teel (10.1016/j.automatica.2010.10.001_br000130) 1995; 40 Huang (10.1016/j.automatica.2010.10.001_br000075) 2002; 75 Tarbouriech (10.1016/j.automatica.2010.10.001_br000125) 2006; 51 Hu (10.1016/j.automatica.2010.10.001_br000070) 2003; 46 Hu (10.1016/j.automatica.2010.10.001_br000055) 2002; 47 (10.1016/j.automatica.2010.10.001_br000085) 2002 Cao (10.1016/j.automatica.2010.10.001_br000020) 2004; 40 Nguyen (10.1016/j.automatica.2010.10.001_br000110) 2000; 36 Hu (10.1016/j.automatica.2010.10.001_br000060) 2002; 38 10.1016/j.automatica.2010.10.001_br000135 Chen (10.1016/j.automatica.2010.10.001_br000025) 2003; 48 Kaliora (10.1016/j.automatica.2010.10.001_br000080) 2004; 49 Sussmann (10.1016/j.automatica.2010.10.001_br000115) 1994; 39 Zheng (10.1016/j.automatica.2010.10.001_br000145) 2008; 57 Bateman (10.1016/j.automatica.2010.10.001_br000010) 2003; 48 Lan (10.1016/j.automatica.2010.10.001_br000095) 2003; 48 Yakoubi (10.1016/j.automatica.2010.10.001_br000140) 2006; 45 Zhou (10.1016/j.automatica.2010.10.001_br000150) 2008; 81
References_xml	– volume: 48 start-page: 427 year: 2003 end-page: 439 ident: br000025 article-title: Composite nonlinear feedback control for linear systems with input saturation: theory and an application publication-title: IEEE Transactions on Automatic Control – year: 2002 ident: br000090 article-title: Nonlinear systems – volume: 81 start-page: 1352 year: 2008 end-page: 1363 ident: br000150 article-title: A novel nested non-linear feedback law for global stabilization of linear systems with bounded controls publication-title: International Journal of Control – volume: 4 start-page: 171 year: 1996 end-page: 176 ident: br000015 article-title: An analysis of the destabilizing effect of daisy chained rate-limited actuators publication-title: IEEE Transactions on Control System Technology – volume: 51 start-page: 1364 year: 2006 end-page: 1371 ident: br000125 article-title: Stability analysis and stabilization of systems presenting nested saturations publication-title: IEEE Transactions on Automatic Control – volume: 47 start-page: 164 year: 2002 end-page: 169 ident: br000055 article-title: Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturation publication-title: IEEE Transactions on Automatic Control – volume: 47 start-page: 65 year: 2002 end-page: 78 ident: br000065 article-title: An explicit description of null controllable regions of linear systems with saturating actuators publication-title: Systems & Control Letters – reference: Hindi, H., & Boyd, S. (1998). Analysis of linear systems with saturating using convex optimization. In – volume: 48 start-page: 41 year: 2003 end-page: 52 ident: br000010 article-title: An analysis and design method for linear systems under nested saturation publication-title: Systems & Control Letters – volume: 21 start-page: 225 year: 1993 end-page: 239 ident: br000100 article-title: Semi-global exponential stabilization of linear systems subject to ‘input saturation’ via linear feedbacks publication-title: Systems & Control Letters – volume: 49 start-page: 1975 year: 2004 end-page: 1990 ident: br000080 article-title: Nonlinear control of feedforward systems with bounded signals publication-title: IEEE Transactions on Automatic Control – volume: 46 start-page: 973 year: 2003 end-page: 979 ident: br000070 article-title: Stabilization of exponentially unstable linear systems with saturating actuators publication-title: IEEE Transactions on Automatic Control – year: 2002 ident: br000085 publication-title: Actuator saturation control – volume: 75 start-page: 97 year: 2002 end-page: 110 ident: br000075 article-title: Saturated linear quadratic regulation of uncertain linear systems: stability region estimation and controller design publication-title: International Journal of Control – year: 1995 ident: br000035 article-title: LMI control toolbox user’s guide – volume: 48 start-page: 1274 year: 2003 end-page: 1280 ident: br000095 article-title: Semi-global stabilization and output regulation of singular linear systems with input saturation publication-title: IEEE Transactions on Automatic Control – volume: 40 start-page: 96 year: 1995 end-page: 100 ident: br000130 article-title: Semi-global stabilization of linear null controllable systems with input nonlinearities publication-title: IEEE Transactions on Automatic Control – volume: 39 start-page: 2411 year: 1994 end-page: 2425 ident: br000115 article-title: A general result on the stabilization of linear systems using bounded controls publication-title: IEEE Transactions on Automatic Control – volume: 40 start-page: 1229 year: 2004 end-page: 1238 ident: br000030 article-title: Analysis of linear systems in the presence of actuator saturation and publication-title: Automatica – volume: Vol. 346 year: 2007 ident: br000120 publication-title: Advanced strategies in control systems with input and output constraints – volume: 46 start-page: 119 year: 2001 end-page: 125 ident: br000040 article-title: Local stabilization of discrete-time linear systems with saturating controls: an LMI-based approach publication-title: IEEE Transactions on Automatic Control – reference: (pp. 903–908). – volume: 45 start-page: 1084 year: 2006 end-page: 1115 ident: br000140 article-title: Linear systems subject to input saturation and time delay: finite-gain publication-title: SIAM Journal on Control and Optimization – volume: 57 start-page: 896 year: 2008 end-page: 903 ident: br000145 article-title: Output feedback control of saturated discrete-time linear systems using parameter-dependent Lyapunov functions publication-title: Systems & Control Letters – volume: 36 start-page: 1339 year: 2000 end-page: 1346 ident: br000110 article-title: Output feedback controllers for disturbance attenuation with actuator amplitude and rate saturation publication-title: Automatica – year: 2001 ident: br000050 article-title: Control systems with actuator saturation: analysis and design – reference: (pp. 343–347). – reference: Alamo, T., Cepeda, A., & Limon, D. (2005). Improved computation of ellipsoidal invariant sets for saturated control systems. In – reference: (pp. 6216–6221). – volume: 48 start-page: 57 year: 2003 end-page: 63 ident: br000105 article-title: Global asymptotic stabilization for chains of integrators with a delay in the input publication-title: IEEE Transactions on Automatic Control – volume: 38 start-page: 351 year: 2002 end-page: 359 ident: br000060 article-title: An analysis and design method for linear systems subject to actuator saturation and disturbance publication-title: Automatica – reference: Wu, F., Grigoriadis, K. M., & Packard, A. (1998). Anti-windup controller synthesis via linear parameter-varying control design methods. In – volume: 40 start-page: 1221 year: 2004 end-page: 1228 ident: br000020 article-title: Anti-windup design of output tracking systems subject to actuator saturation and constant disturbances publication-title: Automatica – volume: 39 start-page: 2411 issue: 12 year: 1994 ident: 10.1016/j.automatica.2010.10.001_br000115 article-title: A general result on the stabilization of linear systems using bounded controls publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.362853 – volume: 21 start-page: 225 issue: 3 year: 1993 ident: 10.1016/j.automatica.2010.10.001_br000100 article-title: Semi-global exponential stabilization of linear systems subject to ‘input saturation’ via linear feedbacks publication-title: Systems & Control Letters doi: 10.1016/0167-6911(93)90033-3 – volume: 40 start-page: 1229 issue: 7 year: 2004 ident: 10.1016/j.automatica.2010.10.001_br000030 article-title: Analysis of linear systems in the presence of actuator saturation and L2-disturbance publication-title: Automatica doi: 10.1016/j.automatica.2004.02.009 – volume: 75 start-page: 97 issue: 2 year: 2002 ident: 10.1016/j.automatica.2010.10.001_br000075 article-title: Saturated linear quadratic regulation of uncertain linear systems: stability region estimation and controller design publication-title: International Journal of Control doi: 10.1080/00207170110088276 – ident: 10.1016/j.automatica.2010.10.001_br000045 – volume: 38 start-page: 351 issue: 2 year: 2002 ident: 10.1016/j.automatica.2010.10.001_br000060 article-title: An analysis and design method for linear systems subject to actuator saturation and disturbance publication-title: Automatica doi: 10.1016/S0005-1098(01)00209-6 – volume: 47 start-page: 65 issue: 1 year: 2002 ident: 10.1016/j.automatica.2010.10.001_br000065 article-title: An explicit description of null controllable regions of linear systems with saturating actuators publication-title: Systems & Control Letters doi: 10.1016/S0167-6911(02)00176-7 – year: 2002 ident: 10.1016/j.automatica.2010.10.001_br000085 – volume: 57 start-page: 896 issue: 11 year: 2008 ident: 10.1016/j.automatica.2010.10.001_br000145 article-title: Output feedback control of saturated discrete-time linear systems using parameter-dependent Lyapunov functions publication-title: Systems & Control Letters doi: 10.1016/j.sysconle.2007.12.011 – volume: 36 start-page: 1339 issue: 9 year: 2000 ident: 10.1016/j.automatica.2010.10.001_br000110 article-title: Output feedback controllers for disturbance attenuation with actuator amplitude and rate saturation publication-title: Automatica doi: 10.1016/S0005-1098(00)00051-0 – volume: 49 start-page: 1975 issue: 11 year: 2004 ident: 10.1016/j.automatica.2010.10.001_br000080 article-title: Nonlinear control of feedforward systems with bounded signals publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2004.837572 – volume: 46 start-page: 973 issue: 6 year: 2003 ident: 10.1016/j.automatica.2010.10.001_br000070 article-title: Stabilization of exponentially unstable linear systems with saturating actuators publication-title: IEEE Transactions on Automatic Control – volume: 48 start-page: 57 issue: 1 year: 2003 ident: 10.1016/j.automatica.2010.10.001_br000105 article-title: Global asymptotic stabilization for chains of integrators with a delay in the input publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2002.806654 – volume: 48 start-page: 1274 issue: 7 year: 2003 ident: 10.1016/j.automatica.2010.10.001_br000095 article-title: Semi-global stabilization and output regulation of singular linear systems with input saturation publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2003.814276 – volume: 51 start-page: 1364 issue: 8 year: 2006 ident: 10.1016/j.automatica.2010.10.001_br000125 article-title: Stability analysis and stabilization of systems presenting nested saturations publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2006.878743 – volume: 40 start-page: 96 issue: 1 year: 1995 ident: 10.1016/j.automatica.2010.10.001_br000130 article-title: Semi-global stabilization of linear null controllable systems with input nonlinearities publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.362894 – ident: 10.1016/j.automatica.2010.10.001_br000135 – volume: Vol. 346 year: 2007 ident: 10.1016/j.automatica.2010.10.001_br000120 – volume: 48 start-page: 427 issue: 3 year: 2003 ident: 10.1016/j.automatica.2010.10.001_br000025 article-title: Composite nonlinear feedback control for linear systems with input saturation: theory and an application publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2003.809148 – ident: 10.1016/j.automatica.2010.10.001_br000005 doi: 10.1109/CDC.2005.1583157 – volume: 47 start-page: 164 issue: 1 year: 2002 ident: 10.1016/j.automatica.2010.10.001_br000055 article-title: Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturation publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.981738 – volume: 4 start-page: 171 issue: 2 year: 1996 ident: 10.1016/j.automatica.2010.10.001_br000015 article-title: An analysis of the destabilizing effect of daisy chained rate-limited actuators publication-title: IEEE Transactions on Control System Technology doi: 10.1109/87.486343 – volume: 40 start-page: 1221 issue: 7 year: 2004 ident: 10.1016/j.automatica.2010.10.001_br000020 article-title: Anti-windup design of output tracking systems subject to actuator saturation and constant disturbances publication-title: Automatica doi: 10.1016/j.automatica.2004.02.012 – volume: 45 start-page: 1084 issue: 3 year: 2006 ident: 10.1016/j.automatica.2010.10.001_br000140 article-title: Linear systems subject to input saturation and time delay: finite-gain Lp-stabilization publication-title: SIAM Journal on Control and Optimization doi: 10.1137/050626582 – volume: 48 start-page: 41 issue: 1 year: 2003 ident: 10.1016/j.automatica.2010.10.001_br000010 article-title: An analysis and design method for linear systems under nested saturation publication-title: Systems & Control Letters doi: 10.1016/S0167-6911(02)00246-3 – year: 1995 ident: 10.1016/j.automatica.2010.10.001_br000035 – year: 2002 ident: 10.1016/j.automatica.2010.10.001_br000090 – volume: 81 start-page: 1352 issue: 9 year: 2008 ident: 10.1016/j.automatica.2010.10.001_br000150 article-title: A novel nested non-linear feedback law for global stabilization of linear systems with bounded controls publication-title: International Journal of Control doi: 10.1080/00207170701760144 – volume: 46 start-page: 119 issue: 1 year: 2001 ident: 10.1016/j.automatica.2010.10.001_br000040 article-title: Local stabilization of discrete-time linear systems with saturating controls: an LMI-based approach publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.898703 – year: 2001 ident: 10.1016/j.automatica.2010.10.001_br000050
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Snippet	This paper is concerned with the treatment of saturation nonlinearity existing commonly in practical control systems. An improved treatment of such...
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SubjectTerms	Applied sciences Complement Computer science; control theory; systems Control system analysis Control system synthesis Control systems Control theory. Systems Design engineering Exact sciences and technology Linear systems Local stability and stabilization Mathematical analysis Mathematical models Nested saturation Nonlinear systems Nonlinearity Saturation Saturation nonlinearity
Title	An improved treatment of saturation nonlinearity with its application to control of systems subject to nested saturation
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