Adaptive parallel simultaneous stabilization of a set of uncertain port-controlled hamiltonian systems subject to actuator saturation
SUMMARYThis paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port‐controlled Hamiltonian (PCH) systems subject to actuator saturation and proposes a number of results on the design of the APSS controllers. First, the case of two PCH systems is st...
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| Published in | International journal of adaptive control and signal processing Vol. 28; no. 11; pp. 1128 - 1144 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Bognor Regis
Blackwell Publishing Ltd
01.11.2014
Wiley Subscription Services, Inc |
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| Online Access | Get full text |
| ISSN | 0890-6327 1099-1115 |
| DOI | 10.1002/acs.2433 |
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| Abstract | SUMMARYThis paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port‐controlled Hamiltonian (PCH) systems subject to actuator saturation and proposes a number of results on the design of the APSS controllers. First, the case of two PCH systems is studied. Using both the dissipative Hamiltonian structural and saturated actuator properties, the two systems are combined to generate an augmented PCH system, with which, some results on the control designs are then obtained. When there are external disturbances in the two systems, an H ∞ APSS controller is designed for the systems. Second, the case of more than two uncertain PCH systems subject to actuator saturation is investigated, and several new results are proposed for the APSS problem. Finally, an illustrative example is presented to show that the adaptive stabilization controllers obtained in this paper work very well. Copyright © 2013 John Wiley & Sons, Ltd. |
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| AbstractList | SUMMARYThis paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port‐controlled Hamiltonian (PCH) systems subject to actuator saturation and proposes a number of results on the design of the APSS controllers. First, the case of two PCH systems is studied. Using both the dissipative Hamiltonian structural and saturated actuator properties, the two systems are combined to generate an augmented PCH system, with which, some results on the control designs are then obtained. When there are external disturbances in the two systems, an H ∞ APSS controller is designed for the systems. Second, the case of more than two uncertain PCH systems subject to actuator saturation is investigated, and several new results are proposed for the APSS problem. Finally, an illustrative example is presented to show that the adaptive stabilization controllers obtained in this paper work very well. Copyright © 2013 John Wiley & Sons, Ltd. SUMMARY This paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port-controlled Hamiltonian (PCH) systems subject to actuator saturation and proposes a number of results on the design of the APSS controllers. First, the case of two PCH systems is studied. Using both the dissipative Hamiltonian structural and saturated actuator properties, the two systems are combined to generate an augmented PCH system, with which, some results on the control designs are then obtained. When there are external disturbances in the two systems, an H[infin] APSS controller is designed for the systems. Second, the case of more than two uncertain PCH systems subject to actuator saturation is investigated, and several new results are proposed for the APSS problem. Finally, an illustrative example is presented to show that the adaptive stabilization controllers obtained in this paper work very well. Copyright © 2013 John Wiley & Sons, Ltd. This paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port-controlled Hamiltonian (PCH) systems subject to actuator saturation and proposes a number of results on the design of the APSS controllers. First, the case of two PCH systems is studied. Using both the dissipative Hamiltonian structural and saturated actuator properties, the two systems are combined to generate an augmented PCH system, with which, some results on the control designs are then obtained. When there are external disturbances in the two systems, an H sub([infin]) APSS controller is designed for the systems. Second, the case of more than two uncertain PCH systems subject to actuator saturation is investigated, and several new results are proposed for the APSS problem. Finally, an illustrative example is presented to show that the adaptive stabilization controllers obtained in this paper work very well. Copyright copyright 2013 John Wiley & Sons, Ltd. This paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port‐controlled Hamiltonian (PCH) systems subject to actuator saturation and proposes a number of results on the design of the APSS controllers. First, the case of two PCH systems is studied. Using both the dissipative Hamiltonian structural and saturated actuator properties, the two systems are combined to generate an augmented PCH system, with which, some results on the control designs are then obtained. When there are external disturbances in the two systems, an H ∞ APSS controller is designed for the systems. Second, the case of more than two uncertain PCH systems subject to actuator saturation is investigated, and several new results are proposed for the APSS problem. Finally, an illustrative example is presented to show that the adaptive stabilization controllers obtained in this paper work very well. Copyright © 2013 John Wiley & Sons, Ltd. |
| Author | Wang, Yuzhen Wei, Airong |
| Author_xml | – sequence: 1 givenname: Airong surname: Wei fullname: Wei, Airong email: Correspondence to: Airong Wei, School of Control Science and Engineering, Shandong University, Jinan 250061, China., weiairong@sdu.edu.cn organization: School of Control Science and Engineering, Shandong University, Jinan 250061, China – sequence: 2 givenname: Yuzhen surname: Wang fullname: Wang, Yuzhen organization: School of Control Science and Engineering, Shandong University, Jinan 250061, China |
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| References_xml | – reference: Cheng D, Astolfi A, Ortega R. On feedback equivalence to port controlled Hamiltonian systems. Systems and Control Letters 2005; 54(9):911-917. – reference: Miller DE, Chen T. Simultaneous stabilization with near-optimal H ∞ performance. IEEE Transactions on Automatic Control 2002; 47(12):1986-1998. – reference: Wei A, Wang Y. Stabilization and H ∞ control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation. Automatica 2010; 46(12):2008-2013. – reference: Ortega R, Van der Schaft AJ, Maschke BM, Escobar G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 2002; 38(4):585-596. – reference: Saberi A, Lin Z, Teel AR. Control of linear systems with saturating actuators. IEEE Transactions on Automatic Control 1996; 41(3):368-378. – reference: Wu J. Simultaneous stabilization for a collection of single-input nonlinear systems. IEEE Transactions on Automatic Control 2005; 50(3):328-337. – reference: Van der Schaft AJ. L2-Gain and Passivity Techniques in Nonlinear Control. Springer: Berlin, 1999. – reference: Gomes da Silva JM, Jr., Tarbouriech S. Antiwindup design with guaranteed regions of stability: an LMI-based approach. IEEE Transactions on Automatic Control 2005; 50(1):105-111. – reference: Tarbouriech S, Garcia G, Glattfelder H. Advanced Strategies in Control Systems with Input and Output Contraints. Lecture Notes in Control and Information Sciences, 346. Springer-Verlag: Berlin, 2007. – reference: Ortega R, Galaz M, Astolfi A. Transient stabilization of multimachine power systems with nontrivial transfer conductances. IEEE Transactions on Automatic Control 2005; 50(1):60-75. – reference: Hu T, Lin Z. Control Systems with Actuator Saturation: Analysis and Design. Bikhäuser: Boston, 2001. – reference: Wang Y, Cheng D, Li C, Ge Y. Dissipative Hamiltonian realization and energy-based L2-disturbance attenuation control of multimachine power systems. IEEE Transactions on Automatic Control 2003; 48(8):1428-1433. – reference: Schmitendorf WE, Hollot CC. Simultaneous stabilization via linear state feedback control. IEEE Transactions on Automatic Control 1989; 34(9):1001-1005. – reference: Kabamba PT, Yang C. Simultaneous controller design for linear time-invariant systems. IEEE Transactions on Automatic Control 1991; 36(1):106-110. – reference: Fujimoto K, Sakurama K, Sugie T. Trajectory tracking control of port-controlled Hamiltonian systems via generalized canonical transformations. Automatica 2003; 39(12):2059-2069. – reference: Wang Y, Feng G, Cheng D. Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems. Automatica 2007; 43(3):403-415. – reference: Blondel V. Simultaneous Stabilization of Linear Systems. Springer-Verlag: New York, 1994. – reference: Maschke BM, Ortega R, Van der Schaft AJ. Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation. IEEE Transactions on Automatic Control 2000; 45(8):1498-1502. – reference: Wei A, Wang Y, Hu X. Estimate of domain of attraction for a class of nonlinear port-controlled Hamiltonian systems subject to both actuator saturation and disturbances. Asian Journal of Control 2012; 14(4):1108-1112. – reference: Ho-Mock-Qai B, Dayawansa WP. Simultaneous stabilization of linear and nonlinear systems by means of nonlinear state feedback. SIAM Journal on Control and Optimization 1999; 37: 1701-1725. – reference: Xi Z, Cheng D. Passivity-based stabilization and H ∞ control of the Hamiltonian control systems with dissipation and its application to power systems. International Journal of Control 2000; 73(18):1686-1691. – reference: Wang Y, Li C, Cheng D. Generalized Hamiltonian realization of time-invariant nonlinear systems. Automatica 2003; 39(8):1437-1443. – reference: Escobar G, Van der Schaft AJ, Ortega R. A Hamiltonian viewpoint in the modeling of switching power converters. 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start-page: 445 issue: 3 year: 1999 end-page: 452 article-title: A Hamiltonian viewpoint in the modeling of switching power converters publication-title: Automatica – volume: 50 start-page: 60 issue: 1 year: 2005 end-page: 75 article-title: Transient stabilization of multimachine power systems with nontrivial transfer conductances publication-title: IEEE Transactions on Automatic Control – year: 1999 – start-page: 1894 year: 2009 end-page: 1898 – ident: e_1_2_8_28_1 doi: 10.1109/ACC.2009.5160232 – ident: e_1_2_8_29_1 doi: 10.1016/j.automatica.2010.08.001 – ident: e_1_2_8_5_1 doi: 10.1016/j.automatica.2003.07.005 – ident: e_1_2_8_18_1 doi: 10.1109/ACC.2007.4282551 – ident: e_1_2_8_27_1 doi: 10.1016/j.automatica.2006.09.008 – ident: e_1_2_8_12_1 doi: 10.1109/ACC.2007.4282430 – ident: e_1_2_8_22_1 doi: 10.1109/TAC.2005.843877 – ident: e_1_2_8_24_1 doi: 10.1109/9.62275 – ident: e_1_2_8_16_1 doi: 10.1007/978-3-540-37010-9 – ident: e_1_2_8_13_1 doi: 10.1007/978-1-4612-0205-9 – ident: 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Antiwindup design with guaranteed regions of stability: an LMI‐based approach publication-title: IEEE Transactions on Automatic Control – ident: e_1_2_8_25_1 doi: 10.1109/TAC.2002.805687 |
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| Snippet | SUMMARYThis paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port‐controlled Hamiltonian (PCH) systems... This paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port‐controlled Hamiltonian (PCH) systems subject... SUMMARY This paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port-controlled Hamiltonian (PCH) systems... This paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port-controlled Hamiltonian (PCH) systems subject... |
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| StartPage | 1128 |
| SubjectTerms | actuator saturation Actuators Adaptive control systems adaptive parallel simultaneous stabilization Control systems Controllers Design engineering Disturbances H ∞ control nonlinear affine system PCH system Saturation Stabilization |
| Title | Adaptive parallel simultaneous stabilization of a set of uncertain port-controlled hamiltonian systems subject to actuator saturation |
| URI | https://api.istex.fr/ark:/67375/WNG-92D9KCG9-6/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1002%2Facs.2433 https://www.proquest.com/docview/1613900939 https://www.proquest.com/docview/1629350651 |
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