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Volumn 91, Issue 11, 2011, Pages 2478-2486

Robust stabilization of stochastic Markovian jumping systems via proportional-integral control

Author keywords

Linear matrix inequalities; Markovian jump systems (MJSs); Proportional integral (PI) control; Semidefinite programming; Static output feedback

Indexed keywords

CLOSED LOOP DYNAMIC; LINEAR MATRIX INEQUALITY TECHNIQUES; MARKOVIAN JUMP SYSTEMS; MARKOVIAN JUMPING SYSTEMS; PI CONTROLLER; PROPORTIONAL-INTEGRAL CONTROL; RELATIVE EQUATIONS; ROBUST STABILIZATION; SEMI-DEFINITE PROGRAMMING; SIMULATION RESULT; STATIC OUTPUT FEEDBACK; STATIC OUTPUT FEEDBACK CONTROL; SUFFICIENT CONDITIONS; SYSTEM STATE; UNCERTAIN PARAMETERS;

EID: 79960154424     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2011.04.023     Document Type: Article
Times cited : (45)

References (31)
  • 2
    • 0035546286 scopus 로고    scopus 로고
    • Robust multivariable PID control for linear parameter varying systems
    • DOI 10.1016/S0005-1098(01)00156-X, PII S000510980100156X
    • M. Mattei Robust multivariable PID controller for linear parameter varying systems Automatica 37 12 2001 1997 2003 (Pubitemid 32951296)
    • (2001) Automatica , vol.37 , Issue.12 , pp. 1997-2003
    • Mattei, M.1
  • 3
    • 0036497672 scopus 로고    scopus 로고
    • On the design of multivariable PID controllers via LMI approach
    • DOI 10.1016/S0005-1098(01)00237-0, PII S0005109801002370
    • F. Zheng, Q. Wang, and T.H. Lee On the design of multivariable PID controllers via LMI approach Automatica 38 3 2002 517 526 (Pubitemid 34036424)
    • (2002) Automatica , vol.38 , Issue.3 , pp. 517-526
    • Zheng, F.1    Wang, Q.-G.2    Lee, T.H.3
  • 4
    • 1642525807 scopus 로고    scopus 로고
    • An improvement on multivariable PID controller design via iterative LMI approach
    • C. Lin, Q. Wang, and T.H. Lee An improvement on multivariable PID controller design via iterative LMI approach Automatica 40 3 2004 519 525
    • (2004) Automatica , vol.40 , Issue.3 , pp. 519-525
    • Lin, C.1    Wang, Q.2    Lee, T.H.3
  • 5
    • 9644264230 scopus 로고    scopus 로고
    • Generalized discrete-time PI control of output PDFs using square foot B-spline expansion
    • L. Guo, and H. Wang Generalized discrete-time PI control of output PDFs using square foot B-spline expansion Automatica 41 1 2005 159 162
    • (2005) Automatica , vol.41 , Issue.1 , pp. 159-162
    • Guo, L.1    Wang, H.2
  • 6
    • 13644265164 scopus 로고    scopus 로고
    • PID controller design for output PDFs of stochastic systems using linear matrix inequalities
    • DOI 10.1109/TSMCB.2004.839906
    • L. Guo, and H. Wang PID controller design for output PDFs of stochastic systems using linear matrix inequalities IEEE Trans Syst., Man, Cybern. B, Cybern 35 1 2005 65 71 (Pubitemid 40226199)
    • (2005) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.35 , Issue.1 , pp. 65-71
    • Guo, L.1    Wang, H.2
  • 7
    • 34548639057 scopus 로고    scopus 로고
    • On stabilizing PI controller ranges for multivariable systems
    • DOI 10.1016/j.chaos.2006.05.060, PII S0960077906005133
    • C. Lin, Q. Wang, Y. He, G. Wen, X. Han, G. Li, and Z. Zhang On stabilizing PI controller ranges for multivariable systems Chaos, Solitions Fractals 35 2 2008 620 625 (Pubitemid 47404860)
    • (2008) Chaos, Solitons and Fractals , vol.35 , Issue.3 , pp. 620-625
    • Lin, C.1    Wang, Q.-G.2    He, Y.3    Wen, G.4    Han, X.5    Li, G.6    Zhong, Z.-H.7
  • 8
    • 41949128951 scopus 로고    scopus 로고
    • PI output feedback control of differential linear repetitive processes
    • B. Sulikovski, K. Galkowski, and E. Rogers PI output feedback control of differential linear repetitive processes Automatica 44 5 2008 1442 1445
    • (2008) Automatica , vol.44 , Issue.5 , pp. 1442-1445
    • Sulikovski, B.1    Galkowski, K.2    Rogers, E.3
  • 9
    • 33745712058 scopus 로고    scopus 로고
    • Tuning of fractional PID controllers with ZieglerNichols-type rules
    • D. Valerion, and J. Sa da Costa Tuning of fractional PID controllers with ZieglerNichols-type rules Signal Process 86 10 2006 2771 2784
    • (2006) Signal Process , vol.86 , Issue.10 , pp. 2771-2784
    • Valerion, D.1    Sa Da Costa, J.2
  • 13
    • 0003182919 scopus 로고    scopus 로고
    • Stability of stochastic differential equations with Markovian switching
    • PII S0304414998000702
    • X. Mao Stability of stochastic differential equations with Markovian switching Stoch. Process. Appl. 79 1 1999 45 67 (Pubitemid 129570208)
    • (1999) Stochastic Processes and their Applications , vol.79 , Issue.1 , pp. 45-67
    • Mao, X.1
  • 14
    • 0036530325 scopus 로고    scopus 로고
    • On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters
    • DOI 10.1109/9.995042, PII S0018928602037431
    • Z. Wang, H. Qiao, and K.J. Burnham On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters IEEE Trans. Automat. Control 47 4 2002 640 646 (Pubitemid 34554833)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.4 , pp. 640-646
    • Wang, Z.1    Qiao, H.2    Burnham, K.J.3
  • 15
    • 14844347294 scopus 로고    scopus 로고
    • On robust stabilization of Markovian jump systems with uncertain switching probabilities
    • DOI 10.1016/j.automatica.2004.12.001, PII S0005109805000038
    • J. Xiong, J. Lam, H. Gao, and Daniel W.C. Ho On robust stabilization of Markovian jump system with uncertain switching probabilities Automatica 41 5 2005 897 903 (Pubitemid 40352404)
    • (2005) Automatica , vol.41 , Issue.5 , pp. 897-903
    • Xiong, J.1    Lam, J.2    Gao, H.3    Ho, D.W.C.4
  • 16
    • 24344487926 scopus 로고    scopus 로고
    • Static output-feedback control for stochastic hybrid systems: LMI approach
    • E.K. Boukas Static output-feedback control for stochastic hybrid systems: LMI approach Automatica 63 3-1 2005 301 310
    • (2005) Automatica , vol.63 , Issue.31 , pp. 301-310
    • Boukas, E.K.1
  • 17
    • 27944507807 scopus 로고    scopus 로고
    • Robust filtering for jumping systems with mode-dependent delays
    • DOI 10.1016/j.sigpro.2005.05.005, PII S0165168405001507
    • P. Shi, M. Mahmoud, S.K. Nguang, and A. Ismail Robust filtering for jumping systems with mode-dependent delays Signal Process. 86 1 2006 140 152 (Pubitemid 41681311)
    • (2006) Signal Processing , vol.86 , Issue.1 , pp. 140-152
    • Shi, P.1    Mahmoud, M.2    Nguang, S.K.3    Ismail, A.4
  • 18
    • 54049096238 scopus 로고    scopus 로고
    • ∞ filtering for Markovianjumpsystems with mode-dependent time delays
    • ∞ filtering for Markovianjumpsystems with mode-dependent time delays Signal Process 89 2 2009 187 196
    • (2009) Signal Process , vol.89 , Issue.2 , pp. 187-196
    • Wang, G.1    Zhang, Q.2    Sreeramc, V.3
  • 19
    • 65549095164 scopus 로고    scopus 로고
    • Robust output feedback stabilization for uncertain discrete-time fuzzy Markovian jump systems with time-varying delays
    • Y. Zhang, S. Xu, and B. Zhang Robust output feedback stabilization for uncertain discrete-time fuzzy Markovian jump systems with time-varying delays IEEE Trans. Fuzzy Syst. 17 2 2009 411 420
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.2 , pp. 411-420
    • Zhang, Y.1    Xu, S.2    Zhang, B.3
  • 20
    • 68149096906 scopus 로고    scopus 로고
    • Fuzzy model-based fault detection for Markov jump systems
    • S. He, and F. Liu Fuzzy model-based fault detection for Markov jump systems Int. J. Robust Nonlinear Control 19 11 2009 1248 1266
    • (2009) Int. J. Robust Nonlinear Control , vol.19 , Issue.11 , pp. 1248-1266
    • He, S.1    Liu, F.2
  • 21
    • 70349265952 scopus 로고    scopus 로고
    • Robust peak-to-peak filtering for Markov jump systems
    • S. He, and F. Liu Robust peak-to-peak filtering for Markov jump systems Signal Process. 90 2 2010 513 522
    • (2010) Signal Process. , vol.90 , Issue.2 , pp. 513-522
    • He, S.1    Liu, F.2
  • 22
    • 84863116282 scopus 로고    scopus 로고
    • Robust finite-time stabilization of uncertain fuzzy jump systems
    • S. He, and F. Liu Robust finite-time stabilization of uncertain fuzzy jump systems Int. J. Innov. Comput. Inform. Control 6 9 2010 3853 3862
    • (2010) Int. J. Innov. Comput. Inform. Control , vol.6 , Issue.9 , pp. 3853-3862
    • He, S.1    Liu, F.2
  • 23
    • 60749093865 scopus 로고    scopus 로고
    • Linear optimal filtering for discrete-time systems with random jump delays
    • C. Han, and H. Zhang Linear optimal filtering for discrete-time systems with random jump delays Signal Process. 89 6 2009 1121 1128
    • (2009) Signal Process. , vol.89 , Issue.6 , pp. 1121-1128
    • Han, C.1    Zhang, H.2
  • 24
    • 77955272723 scopus 로고    scopus 로고
    • Improved robust energy-to-peak filtering for uncertain linear systems
    • H. Zhang, A.S. Mehr, and Y. Shi Improved robust energy-to-peak filtering for uncertain linear systems Signal Process. 90 9 2010 2667 2675
    • (2010) Signal Process. , vol.90 , Issue.9 , pp. 2667-2675
    • Zhang, H.1    Mehr, A.S.2    Shi, Y.3
  • 25
    • 77949284720 scopus 로고    scopus 로고
    • Static output-feedback stabilization of discrete-time Markovian linear systems: A system augmentation approach
    • Z. Shu, J. La, and J. Xiong Static output-feedback stabilization of discrete-time Markovian linear systems: a system augmentation approach Automatica 46 4 2010 687 694
    • (2010) Automatica , vol.46 , Issue.4 , pp. 687-694
    • Shu, Z.1    La, J.2    Xiong, J.3
  • 26
    • 76549097153 scopus 로고    scopus 로고
    • Stochastic optimal tracking with preview by state feedback for linear discrete-time Markovian jump systems
    • G. Nakura Stochastic optimal tracking with preview by state feedback for linear discrete-time Markovian jump systems Int. J. Innov. Comput. Inform. Control 1 6 2010 15 28
    • (2010) Int. J. Innov. Comput. Inform. Control , vol.1 , Issue.6 , pp. 15-28
    • Nakura, G.1
  • 27
    • 77953651982 scopus 로고    scopus 로고
    • 2 control for networked control systems with Markovian data losses and delays
    • 2 control for networked control systems with Markovian data losses and delays ICIC Express Lett. 3 3A 2009 271 276
    • (2009) ICIC Express Lett. , vol.3 , Issue.3 A , pp. 271-276
    • Xia, Y.1    Zhu, Z.2    Mahmoud, M.S.3
  • 28
    • 77950163647 scopus 로고    scopus 로고
    • ∞ fault detection filter for Markovian jump linear systems with polytopic uncertainties
    • ∞ fault detection filter for Markovian jump linear systems with polytopic uncertainties Int. J. Innov. Comput. Inform. Control 6 3A 2010 995 1004
    • (2010) Int. J. Innov. Comput. Inform. Control , vol.6 , Issue.3 A , pp. 995-1004
    • Ding, Q.1    Zhong, M.2
  • 29
    • 77956238294 scopus 로고    scopus 로고
    • Neural network based stochastic optimal control for nonlinear Markov jump systems
    • X. Luan, F. Liu, and P. Shi Neural network based stochastic optimal control for nonlinear Markov jump systems Int. J. Innov. Comput. Inform. Control 6 8 2010 3715 3724
    • (2010) Int. J. Innov. Comput. Inform. Control , vol.6 , Issue.8 , pp. 3715-3724
    • Luan, X.1    Liu, F.2    Shi, P.3
  • 30
    • 77953651730 scopus 로고    scopus 로고
    • New robust passive stability criteria for uncertain singularly Markov jump systems with time delays
    • J. Qiu, and K. Lu New robust passive stability criteria for uncertain singularly Markov jump systems with time delays ICIC Express Lett. 3 3B 2009 651 656
    • (2009) ICIC Express Lett. , vol.3 , Issue.3 B , pp. 651-656
    • Qiu, J.1    Lu, K.2
  • 31
    • 0026910256 scopus 로고    scopus 로고
    • Robust control of a class of uncertain nonlinear systems
    • Y. Wang, L. Xie, and C.E. de Souza Robust control of a class of uncertain nonlinear systems Syst. Control Lett. 19 2 1999 139 149
    • (1999) Syst. Control Lett. , vol.19 , Issue.2 , pp. 139-149
    • Wang, Y.1    Xie, L.2    De Souza, C.E.3


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