Stochastic stabilization of Markovian jump systems in the presence of partial unknown transition probabilities and actuator saturation

Proceedings of the 29th Chinese Control Conference, CCC'10

Volumn , Issue , 2010, Pages 723-727

  Wang, Yijing ^a   Zuo, Zhiqiang ^a,b   Cui, Yulong ^a  

^a TIANJIN UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Actuator saturation; Domain of attraction; Markovian jump systems; Partial unknown transition probabilities

Indexed keywords

ACTUATOR SATURATIONS; CONTROLLER DESIGNS; CONTROLLER SYNTHESIS; DOMAIN OF ATTRACTION; INVARIANT SET; LMI CONSTRAINTS; MARKOVIAN JUMP SYSTEMS; MEAN SQUARE; NUMERICAL EXAMPLE; OPTIMIZATION PROBLEMS; STOCHASTIC STABILITY; STOCHASTIC STABILIZATION; SUFFICIENT CONDITIONS; TRANSITION PROBABILITIES;

ACTUATORS; NUMERICAL METHODS; PROBABILITY; STOCHASTIC SYSTEMS;

CONTROLLERS;

EID: 78650254076     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. D.S. Bernstein and A.N. Michel, A chronological bibliography on saturating actuators, International Journal of Robust and Nonlinear Control, 1995, 5:375-380.
2. E. K. Boukas and P. Shi, Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters, Int. J. Robust Nonlinear Control, 1998, 8(13):1155-1167.
3. E. K. Boukas and Z. K. Liu, Deterministic and Stochastic Time Delay Systems, Boston: Birkhauser, 2002.
4. E. K. Boukas, Stochastic Switching System: Analysis and Design, Boston: Birkhauser, 2005.
5. E. K. Boukas, Stochastic output feedbak of uncertain time-delay systems with saturating actuators, Journal of Optimization Theroy and Applications, 2003, 118(2):255-273.
6. ∞ control of uncertain Markovian jumping systems with time-delay, IEEE Trans. Automatic Control, 2000, 45(1):77-83.
7. Y. Y. Cao, Z. Lin and Y. Shamash, Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation, Systems and Control Letters, 2002, 46(2): 137-151.
8. O. L. V. Costa, E. O. A. Filho, E. K. Boukas and R. P. Marques, Constrained quadratic state feedback control of discrete-time Markovian jump linear systems, Automatica, 1999, 35(4):617-626.
9. Hu, T. and Lin, Z. Control Systems with Actuator Saturation: Analysis and Design. Boston: Birkhuaser, 2001.
10. M. Karan, P. Shi and C. Y. Kaya, Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems, Automatica, 2006, 42(12):2159-2168.
11. Z. Lin, Low Gain Feedback, Springer, London, U.K., 1999.
12. D. Liu and A.N. Michel, Dynamical Systems With Saturation Nonlinearities: Analysis and Design, Springer-Verlog, London, U.K., 1994.
13. H. P. Liu, E. K. Boukas, F. C. Sun and D. W. C. Ho, Controller design for Markov jumping systems subject to actuator saturation, Automatica, 2006, 42(3):459-465.
14. M. Liu, D. W. C. Ho and Y. Niu, Stabilization of Markovian jump linear system over networks with random communication delay, Automatica, 2009, 45(2):416-421.
15. P. Shi, E. K. Boukas and R. K. Agarwal, Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay, IEEE Trans. Automatic Control, 1999, 44(11): 2139-2144. (Pubitemid 30531659)
16. J. L. Xiong, J. Lam, H. J. Gao and W. C. Daniel, On robust stabilization of Markovian jump systems with uncertain switching probabilities, Automatica, 2005, 41(5):897-903.
17. L. X. Zhang, E. K. Boukas, Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities, Automatica, 2009, 45(5)463-468.