Disturbance rejection in general heterodirectional 1-D linear hyperbolic systems using collocated sensing and control
We solve a disturbance rejection problem for a general class of heterodirectional 1-D linear hyperbolic partial differential equations (PDEs). The disturbance enters at one boundary, while sensing and actuation is limited to the opposite boundary. We do this by combining a separately designed contro...
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| Published in | Automatica (Oxford) Vol. 76; pp. 230 - 242 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.02.2017
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| Abstract | We solve a disturbance rejection problem for a general class of heterodirectional 1-D linear hyperbolic partial differential equations (PDEs). The disturbance enters at one boundary, while sensing and actuation is limited to the opposite boundary. We do this by combining a separately designed controller and observer into an output feedback controller, and proving stability of the overall closed loop system and exponential regulation of the control objective to zero. The theory is demonstrated in a simulation. |
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| AbstractList | We solve a disturbance rejection problem for a general class of heterodirectional 1-D linear hyperbolic partial differential equations (PDEs). The disturbance enters at one boundary, while sensing and actuation is limited to the opposite boundary. We do this by combining a separately designed controller and observer into an output feedback controller, and proving stability of the overall closed loop system and exponential regulation of the control objective to zero. The theory is demonstrated in a simulation. |
| Author | Aamo, Ole Morten Anfinsen, Henrik |
| Author_xml | – sequence: 1 givenname: Henrik surname: Anfinsen fullname: Anfinsen, Henrik email: henrik.anfinsen@itk.ntnu.no – sequence: 2 givenname: Ole Morten surname: Aamo fullname: Aamo, Ole Morten email: aamo@ntnu.no |
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| References | (pp. 4937–4942). Hasan, Agus (2014). Disturbance attenuation of n+1 coupled hyperbolic PDEs. In Bin, Di Meglio (br000035) 2015 Amin, Hante, Bayen (br000015) 2008 Litrico, Xavier, & Fromion, Vincent (2006). Boundary control of hyperbolic conservation laws with a frequency domain approach. In Tang, Shuxia, & Krstić, Miroslav (2014). Sliding mode control to the stabilization of a linear 2 x 2 hyperbolic system with boundary input disturbance. In Diagne, Diagne, Tang, Krstić (br000065) 2017; 76 linear hyperbolic system. In Aamo (br000005) 2013; 58 Landet, Pavlov, Aamo (br000095) 2013; 21 Vazquez, Rafael, Krstić, Miroslav, & Coron, Jean-Michel (2011). Backstepping boundary stabilization and state estimation of a Liu (br000105) 2003; 42 Anfinsen, Henrik, & Aamo, Ole Morten (2016). Disturbance rejection in n + 1 coupled 1 - D linear hyperbolic PDEs using collocated sensing and control. In Krstić, Smyshlyaev (br000090) 2008; 57 Curró, Fusco, Manganaro (br000050) 2011; 44 Auriol, Di Meglio (br000030) 2016; 71 (pp. 11391–11397). Greenberg, Tsien (br000070) 1984; 52 Aamo (br000010) 2016; 61 Di Meglio (br000055) 2011 Bosković, Krstić, Liu (br000040) 2001; 46 Hautus (br000080) 1970; 73 . Di Meglio, Vazquez, Krstić (br000110) 2013; 58 Hu, Di Meglio, Vazquez, Krstić (br000085) 2015 Di Meglio, Florent, Bresch-Pietri, Delphine, & Aarsnes, Ulf Jakob F. (2014). An adaptive observer for hyperbolic systems with application to under balanced drilling. In Xu, Sallet (br000125) 2010; 7 Anfinsen, Aamo (br000020) 2015; 60 Coron, Novel, Bastin (br000045) 2007; 52 10.1016/j.automatica.2016.10.027_br000100 10.1016/j.automatica.2016.10.027_br000120 10.1016/j.automatica.2016.10.027_br000060 Anfinsen (10.1016/j.automatica.2016.10.027_br000020) 2015; 60 Bin (10.1016/j.automatica.2016.10.027_br000035) 2015 Amin (10.1016/j.automatica.2016.10.027_br000015) 2008 10.1016/j.automatica.2016.10.027_br000025 Curró (10.1016/j.automatica.2016.10.027_br000050) 2011; 44 Greenberg (10.1016/j.automatica.2016.10.027_br000070) 1984; 52 Xu (10.1016/j.automatica.2016.10.027_br000125) 2010; 7 Diagne (10.1016/j.automatica.2016.10.027_br000065) 2017; 76 Hu (10.1016/j.automatica.2016.10.027_br000085) 2015 Krstić (10.1016/j.automatica.2016.10.027_br000090) 2008; 57 Aamo (10.1016/j.automatica.2016.10.027_br000010) 2016; 61 Liu (10.1016/j.automatica.2016.10.027_br000105) 2003; 42 10.1016/j.automatica.2016.10.027_br000075 Hautus (10.1016/j.automatica.2016.10.027_br000080) 1970; 73 Di Meglio (10.1016/j.automatica.2016.10.027_br000055) 2011 10.1016/j.automatica.2016.10.027_br000115 Aamo (10.1016/j.automatica.2016.10.027_br000005) 2013; 58 Di Meglio (10.1016/j.automatica.2016.10.027_br000110) 2013; 58 Coron (10.1016/j.automatica.2016.10.027_br000045) 2007; 52 Auriol (10.1016/j.automatica.2016.10.027_br000030) 2016; 71 Bosković (10.1016/j.automatica.2016.10.027_br000040) 2001; 46 Landet (10.1016/j.automatica.2016.10.027_br000095) 2013; 21 |
| References_xml | – year: 2011 ident: br000055 article-title: Dynamics and control of slugging in oil production contributor: fullname: Di Meglio – volume: 52 start-page: 2 year: 2007 end-page: 11 ident: br000045 article-title: A strict lyapunov function for boundary control of hyperbolic systems of conservation laws publication-title: IEEE Transactions on Automatic Control contributor: fullname: Bastin – year: 2015 ident: br000035 article-title: Boundary estimation of parameters for linear hyperbolic PDEs publication-title: IEEE Transactions on Control Systems Technology contributor: fullname: Di Meglio – volume: 58 start-page: 1095 year: 2013 end-page: 1106 ident: br000005 article-title: Disturbance rejection in publication-title: IEEE Transactions on Automatic Control contributor: fullname: Aamo – start-page: 602 year: 2008 end-page: 605 ident: br000015 article-title: On stability of switched linear hyperbolic conservation laws with reflecting boundaries publication-title: Hybrid systems: Computation and control contributor: fullname: Bayen – volume: 60 start-page: 186 year: 2015 end-page: 191 ident: br000020 article-title: Disturbance rejection in the interior domain of linear 2 ×2 hyperbolic systems publication-title: IEEE Transactions on Automatic Control contributor: fullname: Aamo – volume: 46 start-page: 2022 year: 2001 end-page: 2028 ident: br000040 article-title: Boundary control of an unstable heat equation via measurement of domain-averaged temperature publication-title: IEEE Transactions on Automatic Control contributor: fullname: Liu – volume: 44 year: 2011 ident: br000050 article-title: A reduction procedure for generalized Riemann problems with application to nonlinear transmission lines publication-title: Journal of Physics A: Mathematical and Theoretical contributor: fullname: Manganaro – volume: 21 start-page: 1340 year: 2013 end-page: 1351 ident: br000095 article-title: Modeling and control of heave-induced pressure fluctuations in managed pressure drilling publication-title: IEEE Transactions on Control Systems Technology contributor: fullname: Aamo – volume: 61 start-page: 246 year: 2016 end-page: 251 ident: br000010 article-title: Leak detection, size estimation and localization in pipe flows publication-title: IEEE Transactions on Automatic Control contributor: fullname: Aamo – volume: 71 start-page: 300 year: 2016 end-page: 307 ident: br000030 article-title: Minimum time control of heterodirectional linear coupled hyperbolic PDEs publication-title: Automatica contributor: fullname: Di Meglio – volume: 76 start-page: 345 year: 2017 end-page: 354 ident: br000065 article-title: Backstepping stabilization of the linearized Saint-Venant-Exner model publication-title: Automatica contributor: fullname: Krstić – volume: 73 start-page: 448 year: 1970 end-page: 455 ident: br000080 article-title: Stabilization controllability and observability of linear autonomous systems publication-title: Indagationes Mathematicae contributor: fullname: Hautus – volume: 52 start-page: 66 year: 1984 end-page: 75 ident: br000070 article-title: The effect of boundary damping for the quasilinear wave equation publication-title: Journal of Differential Equations contributor: fullname: Tsien – year: 2015 ident: br000085 article-title: Control of homodirectional and general heterodirectional linear coupled hyperbolic PDEs publication-title: IEEE Transactions on Automatic Control contributor: fullname: Krstić – volume: 7 start-page: 421 year: 2010 end-page: 442 ident: br000125 article-title: Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems publication-title: ESAIM: Control, Optimisation and Calculus of Variations contributor: fullname: Sallet – volume: 58 start-page: 3097 year: 2013 end-page: 3111 ident: br000110 article-title: Stabilization of a system of n +1 coupled first-order hyperbolic linear PDEs with a single boundary input publication-title: IEEE Transactions on Automatic Control contributor: fullname: Krstić – volume: 57 start-page: 750 year: 2008 end-page: 758 ident: br000090 article-title: Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays publication-title: Systems & Control Letters contributor: fullname: Smyshlyaev – volume: 42 start-page: 1033 year: 2003 end-page: 1043 ident: br000105 article-title: Boundary feedback stabilization of an unstable heat equation publication-title: SIAM Journal on Control and Optimization contributor: fullname: Liu – ident: 10.1016/j.automatica.2016.10.027_br000115 doi: 10.1109/ACC.2014.6858635 – ident: 10.1016/j.automatica.2016.10.027_br000075 doi: 10.1109/CDC.2014.7039701 – start-page: 602 year: 2008 ident: 10.1016/j.automatica.2016.10.027_br000015 article-title: On stability of switched linear hyperbolic conservation laws with reflecting boundaries contributor: fullname: Amin – year: 2015 ident: 10.1016/j.automatica.2016.10.027_br000035 article-title: Boundary estimation of parameters for linear hyperbolic PDEs publication-title: IEEE Transactions on Control Systems Technology contributor: fullname: Bin – volume: 21 start-page: 1340 issue: 4 year: 2013 ident: 10.1016/j.automatica.2016.10.027_br000095 article-title: Modeling and control of heave-induced pressure fluctuations in managed pressure drilling publication-title: IEEE Transactions on Control Systems Technology doi: 10.1109/TCST.2012.2204751 contributor: fullname: Landet – volume: 58 start-page: 1095 issue: 5 year: 2013 ident: 10.1016/j.automatica.2016.10.027_br000005 article-title: Disturbance rejection in 2×2 linear hyperbolic systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2012.2228035 contributor: fullname: Aamo – volume: 52 start-page: 66 issue: 1 year: 1984 ident: 10.1016/j.automatica.2016.10.027_br000070 article-title: The effect of boundary damping for the quasilinear wave equation publication-title: Journal of Differential Equations doi: 10.1016/0022-0396(84)90135-9 contributor: fullname: Greenberg – ident: 10.1016/j.automatica.2016.10.027_br000100 doi: 10.1109/CDC.2006.377703 – volume: 58 start-page: 3097 issue: 12 year: 2013 ident: 10.1016/j.automatica.2016.10.027_br000110 article-title: Stabilization of a system of n +1 coupled first-order hyperbolic linear PDEs with a single boundary input publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2013.2274723 contributor: fullname: Di Meglio – volume: 71 start-page: 300 year: 2016 ident: 10.1016/j.automatica.2016.10.027_br000030 article-title: Minimum time control of heterodirectional linear coupled hyperbolic PDEs publication-title: Automatica doi: 10.1016/j.automatica.2016.05.030 contributor: fullname: Auriol – year: 2011 ident: 10.1016/j.automatica.2016.10.027_br000055 contributor: fullname: Di Meglio – volume: 61 start-page: 246 issue: 1 year: 2016 ident: 10.1016/j.automatica.2016.10.027_br000010 article-title: Leak detection, size estimation and localization in pipe flows publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2015.2434031 contributor: fullname: Aamo – volume: 73 start-page: 448 year: 1970 ident: 10.1016/j.automatica.2016.10.027_br000080 article-title: Stabilization controllability and observability of linear autonomous systems publication-title: Indagationes Mathematicae doi: 10.1016/S1385-7258(70)80049-X contributor: fullname: Hautus – ident: 10.1016/j.automatica.2016.10.027_br000060 – volume: 76 start-page: 345 year: 2017 ident: 10.1016/j.automatica.2016.10.027_br000065 article-title: Backstepping stabilization of the linearized Saint-Venant-Exner model publication-title: Automatica doi: 10.1016/j.automatica.2016.10.017 contributor: fullname: Diagne – volume: 60 start-page: 186 issue: 1 year: 2015 ident: 10.1016/j.automatica.2016.10.027_br000020 article-title: Disturbance rejection in the interior domain of linear 2 ×2 hyperbolic systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2014.2322435 contributor: fullname: Anfinsen – volume: 42 start-page: 1033 year: 2003 ident: 10.1016/j.automatica.2016.10.027_br000105 article-title: Boundary feedback stabilization of an unstable heat equation publication-title: SIAM Journal on Control and Optimization doi: 10.1137/S0363012902402414 contributor: fullname: Liu – ident: 10.1016/j.automatica.2016.10.027_br000120 doi: 10.1109/CDC.2011.6160338 – volume: 52 start-page: 2 issue: 1 year: 2007 ident: 10.1016/j.automatica.2016.10.027_br000045 article-title: A strict lyapunov function for boundary control of hyperbolic systems of conservation laws publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2006.887903 contributor: fullname: Coron – year: 2015 ident: 10.1016/j.automatica.2016.10.027_br000085 article-title: Control of homodirectional and general heterodirectional linear coupled hyperbolic PDEs publication-title: IEEE Transactions on Automatic Control contributor: fullname: Hu – volume: 46 start-page: 2022 issue: 12 year: 2001 ident: 10.1016/j.automatica.2016.10.027_br000040 article-title: Boundary control of an unstable heat equation via measurement of domain-averaged temperature publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.975513 contributor: fullname: Bosković – volume: 44 issue: 33 year: 2011 ident: 10.1016/j.automatica.2016.10.027_br000050 article-title: A reduction procedure for generalized Riemann problems with application to nonlinear transmission lines publication-title: Journal of Physics A: Mathematical and Theoretical doi: 10.1088/1751-8113/44/33/335205 contributor: fullname: Curró – volume: 7 start-page: 421 year: 2010 ident: 10.1016/j.automatica.2016.10.027_br000125 article-title: Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems publication-title: ESAIM: Control, Optimisation and Calculus of Variations contributor: fullname: Xu – 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| Title | Disturbance rejection in general heterodirectional 1-D linear hyperbolic systems using collocated sensing and control |
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