Robust H 2 control of continuous-time Markov jump linear systems
This paper is concerned with the problem of designing robust H 2 state-feedback controllers for continuous-time Markov jump linear systems subject to polytopic-type parameter uncertainty. Based on the parameter-dependent Lyapunov function approach, a new method for designing robust H 2 controllers i...
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| Published in | Automatica (Oxford) Vol. 44; no. 5; pp. 1431 - 1436 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.05.2008
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0005-1098 1873-2836 |
| DOI | 10.1016/j.automatica.2007.09.015 |
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| Abstract | This paper is concerned with the problem of designing robust
H
2
state-feedback controllers for continuous-time Markov jump linear systems subject to polytopic-type parameter uncertainty. Based on the parameter-dependent Lyapunov function approach, a new method for designing robust
H
2
controllers is presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed design method. |
|---|---|
| AbstractList | This paper is concerned with the problem of designing robust
H
2
state-feedback controllers for continuous-time Markov jump linear systems subject to polytopic-type parameter uncertainty. Based on the parameter-dependent Lyapunov function approach, a new method for designing robust
H
2
controllers is presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed design method. |
| Author | Yang, Guang-Hong Dong, Jiuxiang |
| Author_xml | – sequence: 1 givenname: Jiuxiang surname: Dong fullname: Dong, Jiuxiang email: dongjiuxiang@ise.neu.edu.cn, dong_jiuxiang@163.com organization: College of Information Science and Engineering, Northeastern University, Shenyang, 110004, PR China – sequence: 2 givenname: Guang-Hong surname: Yang fullname: Yang, Guang-Hong email: yangguanghong@ise.neu.edu.cn, yang_guanghong@163.com organization: College of Information Science and Engineering, Northeastern University, Shenyang, 110004, PR China |
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| References | do Val, Costa (b12) 2005; 50 Costa, do Val, Geromel (b5) 1999; 35 de Souza, Coutinho (b11) 2006; 51 Karan, Shi, Kaya (b16) 2006; 42 pp. 2616–2621 Xiong, Lam, Gao, Ho (b22) 2005; 41 de Souza (b10) 2006; 51 de Oliveira, Bernussou, Geromel (b9) 1999; 37 Shi, Boukas (b20) 1997; 95 Shi, Boukas, Agarwal (b21) 1999; 30 Boukas (b3) 2005; 1 Boukas, Liu (b4) 2000; Vol. 6 de Farias, Geromel, do Val, Costa (b8) 2000; 45 Mahmoud, Shi (b17) 2002; 49 Pakshin P. & Mitrofanov I. (2005). Robust stabilization of jump polytopic systems via output feedback. In Bernard, Dufour, Bertrand (b2) 1997; 42 Costa, Marques (b6) 1998; 43 de Farias, Geromel, do Val (b7) 2002; 23 Fang, Loparo (b14) 2002; 47 do Val, Geromel, Goncalves (b13) 2002; 38 Ghaoui, Rami (b15) 1996; 6 Apkarian, Tuan, Bernussou (b1) 2001; 46 Rami, Ghaoui (b19) 1996; 41 Zhang, Huang, Lam (b23) 2003; 50 Xiong (10.1016/j.automatica.2007.09.015_b22) 2005; 41 Mahmoud (10.1016/j.automatica.2007.09.015_b17) 2002; 49 Boukas (10.1016/j.automatica.2007.09.015_b4) 2000; Vol. 6 Karan (10.1016/j.automatica.2007.09.015_b16) 2006; 42 Rami (10.1016/j.automatica.2007.09.015_b19) 1996; 41 de Souza (10.1016/j.automatica.2007.09.015_b11) 2006; 51 Fang (10.1016/j.automatica.2007.09.015_b14) 2002; 47 Bernard (10.1016/j.automatica.2007.09.015_b2) 1997; 42 10.1016/j.automatica.2007.09.015_b18 de Souza (10.1016/j.automatica.2007.09.015_b10) 2006; 51 de Farias (10.1016/j.automatica.2007.09.015_b7) 2002; 23 Costa (10.1016/j.automatica.2007.09.015_b5) 1999; 35 de Farias (10.1016/j.automatica.2007.09.015_b8) 2000; 45 Zhang (10.1016/j.automatica.2007.09.015_b23) 2003; 50 do Val (10.1016/j.automatica.2007.09.015_b13) 2002; 38 do Val (10.1016/j.automatica.2007.09.015_b12) 2005; 50 Shi (10.1016/j.automatica.2007.09.015_b20) 1997; 95 Boukas (10.1016/j.automatica.2007.09.015_b3) 2005; 1 de Oliveira (10.1016/j.automatica.2007.09.015_b9) 1999; 37 Apkarian (10.1016/j.automatica.2007.09.015_b1) 2001; 46 Costa (10.1016/j.automatica.2007.09.015_b6) 1998; 43 Ghaoui (10.1016/j.automatica.2007.09.015_b15) 1996; 6 Shi (10.1016/j.automatica.2007.09.015_b21) 1999; 30 |
| References_xml | – volume: 42 start-page: 2159 year: 2006 end-page: 2168 ident: b16 article-title: Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems publication-title: Automatica – volume: 23 start-page: 105 year: 2002 end-page: 112 ident: b7 article-title: A note on the robust control of Markov jump linear uncertain systems publication-title: Optimal Control Applications & Methods – volume: 38 start-page: 343 year: 2002 end-page: 349 ident: b13 article-title: The publication-title: Automatica – volume: 51 start-page: 836 year: 2006 end-page: 841 ident: b10 article-title: Robust stability and stabilization of uncertain discrete-time Markovian jump linear systems publication-title: IEEE Transactions on Automatic Control – volume: 42 start-page: 869 year: 1997 end-page: 872 ident: b2 article-title: On the JLQ problem with uncertainty publication-title: IEEE Transactions on Automatic Control – volume: 50 start-page: 691 year: 2005 end-page: 695 ident: b12 article-title: Stabilizability and positiveness of solutions of the jump linear quadratic problem and the coupled algebraic Riccati equation publication-title: IEEE Transactions on Automatic Control – reference: Pakshin P. & Mitrofanov I. (2005). Robust stabilization of jump polytopic systems via output feedback. In – volume: 50 start-page: 103 year: 2003 end-page: 118 ident: b23 publication-title: Systems & Control Letters – volume: 41 start-page: 1666 year: 1996 end-page: 1671 ident: b19 article-title: LMI optimization for nonstandard Riccati equations arising in stochastic control publication-title: IEEE Transactions on Automatic Control – volume: 37 start-page: 261 year: 1999 end-page: 265 ident: b9 article-title: A new discrete-time robust stability condition publication-title: Systems & Control Letters – volume: 6 start-page: 1015 year: 1996 end-page: 1022 ident: b15 article-title: Robust state-feedback stabilization of jump linear systems via LMIs publication-title: International Journal on Robust Nonlinear Control – volume: 49 start-page: 538 year: 2002 end-page: 542 ident: b17 article-title: Robust control for Markovian jump linear discrete-time systems with unknown nonlinearities publication-title: IEEE Transactions on Circuits and Systems I. Regular Papers – volume: 30 start-page: 787 year: 1999 end-page: 797 ident: b21 article-title: Robust control for Markovian jumping discrete-time systems publication-title: International Journal on Systems Science – volume: 1 start-page: 131 year: 2005 end-page: 141 ident: b3 article-title: Stabilization of stochastic nonlinear hybrid systems publication-title: International Journal on Innovative Computing, Information and Control – volume: 35 start-page: 259 year: 1999 end-page: 268 ident: b5 article-title: Continuous-time state-feedback publication-title: Automatica – volume: 47 start-page: 1590 year: 2002 end-page: 1603 ident: b14 article-title: Stabilization of continuous-time jump linear systems publication-title: IEEE Transactions on Automatic Control – volume: 95 start-page: 75 year: 1997 end-page: 99 ident: b20 publication-title: Journal of Optimization Theory and Applications – volume: 41 start-page: 897 year: 2005 end-page: 903 ident: b22 article-title: On robust stabilization of Markovian jump systems with uncertain switching probabilities publication-title: Automatica – volume: 46 start-page: 1941 year: 2001 end-page: 1946 ident: b1 article-title: Continuous-time analysis, eigenstructure assignment, and publication-title: IEEE Transactions on Automatic Control – volume: 45 start-page: 944 year: 2000 end-page: 949 ident: b8 article-title: Output feedback control of Markov jump linear systems in continuous-time publication-title: IEEE Transactions on Automatic Control – volume: 51 start-page: 1825 year: 2006 end-page: 1831 ident: b11 article-title: Robust stability of a class of uncertain Markov jump nonlinear systems publication-title: IEEE Transactions on Automatic Control – volume: Vol. 6 start-page: 3795 year: 2000 end-page: 3799 ident: b4 article-title: Robust publication-title: American control conference – reference: (pp. 2616–2621) – volume: 43 start-page: 95 year: 1998 end-page: 100 ident: b6 article-title: Mixed publication-title: IEEE Transactions on Automatic Control – volume: 35 start-page: 259 issue: 2 year: 1999 ident: 10.1016/j.automatica.2007.09.015_b5 article-title: Continuous-time state-feedback H2-control of Markovian jump linear systems via convex analysis publication-title: Automatica doi: 10.1016/S0005-1098(98)00145-9 – volume: 23 start-page: 105 issue: 2 year: 2002 ident: 10.1016/j.automatica.2007.09.015_b7 article-title: A note on the robust control of Markov jump linear uncertain systems publication-title: Optimal Control Applications & Methods doi: 10.1002/oca.702 – volume: 50 start-page: 691 issue: 5 year: 2005 ident: 10.1016/j.automatica.2007.09.015_b12 article-title: Stabilizability and positiveness of solutions of the jump linear quadratic problem and the coupled algebraic Riccati equation publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2005.846600 – volume: 6 start-page: 1015 issue: 9–10 year: 1996 ident: 10.1016/j.automatica.2007.09.015_b15 article-title: Robust state-feedback stabilization of jump linear systems via LMIs publication-title: International Journal on Robust Nonlinear Control doi: 10.1002/(SICI)1099-1239(199611)6:9/10<1015::AID-RNC266>3.0.CO;2-0 – volume: 42 start-page: 2159 issue: 12 year: 2006 ident: 10.1016/j.automatica.2007.09.015_b16 article-title: Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems publication-title: Automatica doi: 10.1016/j.automatica.2006.07.002 – ident: 10.1016/j.automatica.2007.09.015_b18 – volume: 41 start-page: 897 issue: 5 year: 2005 ident: 10.1016/j.automatica.2007.09.015_b22 article-title: On robust stabilization of Markovian jump systems with uncertain switching probabilities publication-title: Automatica doi: 10.1016/j.automatica.2004.12.001 – volume: 51 start-page: 836 issue: 5 year: 2006 ident: 10.1016/j.automatica.2007.09.015_b10 article-title: Robust stability and stabilization of uncertain discrete-time Markovian jump linear systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2006.875012 – volume: 46 start-page: 1941 issue: 12 year: 2001 ident: 10.1016/j.automatica.2007.09.015_b1 article-title: Continuous-time analysis, eigenstructure assignment, and H2 synthesis with enhanced linear matrix inequalities (LMI) characterizations publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.975496 – volume: 45 start-page: 944 issue: 5 year: 2000 ident: 10.1016/j.automatica.2007.09.015_b8 article-title: Output feedback control of Markov jump linear systems in continuous-time publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.855557 – volume: 49 start-page: 538 issue: 4 year: 2002 ident: 10.1016/j.automatica.2007.09.015_b17 article-title: Robust control for Markovian jump linear discrete-time systems with unknown nonlinearities publication-title: IEEE Transactions on Circuits and Systems I. Regular Papers doi: 10.1109/81.995674 – volume: 50 start-page: 103 issue: 2 year: 2003 ident: 10.1016/j.automatica.2007.09.015_b23 article-title: H∞ model reduction of Markovian jump linear systems publication-title: Systems & Control Letters doi: 10.1016/S0167-6911(03)00133-6 – volume: 43 start-page: 95 issue: 1 year: 1998 ident: 10.1016/j.automatica.2007.09.015_b6 article-title: Mixed H2/H∞-control of discrete-time Markovian jump linear systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.654895 – volume: 38 start-page: 343 issue: 2 year: 2002 ident: 10.1016/j.automatica.2007.09.015_b13 article-title: The H2-control for jump linear systems: Cluster observations of the Markov state publication-title: Automatica doi: 10.1016/S0005-1098(01)00210-2 – volume: 47 start-page: 1590 issue: 10 year: 2002 ident: 10.1016/j.automatica.2007.09.015_b14 article-title: Stabilization of continuous-time jump linear systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2002.803528 – volume: 42 start-page: 869 issue: 6 year: 1997 ident: 10.1016/j.automatica.2007.09.015_b2 article-title: On the JLQ problem with uncertainty publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.587347 – volume: 51 start-page: 1825 issue: 11 year: 2006 ident: 10.1016/j.automatica.2007.09.015_b11 article-title: Robust stability of a class of uncertain Markov jump nonlinear systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2006.883058 – volume: 95 start-page: 75 issue: 1 year: 1997 ident: 10.1016/j.automatica.2007.09.015_b20 article-title: H∞-control for Markovian jumping linear systems with parametric uncertainty publication-title: Journal of Optimization Theory and Applications doi: 10.1023/A:1022683311870 – volume: Vol. 6 start-page: 3795 year: 2000 ident: 10.1016/j.automatica.2007.09.015_b4 article-title: Robust H∞ filtering for polytopic uncertain time-delay systems with Markov jumps – volume: 1 start-page: 131 issue: 1 year: 2005 ident: 10.1016/j.automatica.2007.09.015_b3 article-title: Stabilization of stochastic nonlinear hybrid systems publication-title: International Journal on Innovative Computing, Information and Control – volume: 30 start-page: 787 issue: 8 year: 1999 ident: 10.1016/j.automatica.2007.09.015_b21 article-title: Robust control for Markovian jumping discrete-time systems publication-title: International Journal on Systems Science doi: 10.1080/002077299291912 – volume: 41 start-page: 1666 issue: 11 year: 1996 ident: 10.1016/j.automatica.2007.09.015_b19 article-title: LMI optimization for nonstandard Riccati equations arising in stochastic control publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.544005 – volume: 37 start-page: 261 issue: 4 year: 1999 ident: 10.1016/j.automatica.2007.09.015_b9 article-title: A new discrete-time robust stability condition publication-title: Systems & Control Letters doi: 10.1016/S0167-6911(99)00035-3 |
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| SubjectTerms | Linear matrix inequalities (LMIs) Linear systems Markov parameters Parameter uncertainty Parameter-dependent Lyapunov function Robust control |
| Title | Robust H 2 control of continuous-time Markov jump linear systems |
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