Reliable guaranteed cost control for uncertain switched non-linear systems

International Journal of Systems Science

Volumn 40, Issue 3, 2009, Pages 205-211

  Wang, Rui ^a,b   Zhao, Jun ^a  

^a NORTHEASTERN UNIVERSITY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

Author keywords

Actuator failures; Guaranteed cost control; LaSalle's invariance principle; Multiple Lyapunov functions; Switched systems

Indexed keywords

ACTUATORS; CONTROL THEORY; COST EFFECTIVENESS; DIFFERENTIAL EQUATIONS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; NONLINEAR SYSTEMS; STATE FEEDBACK; STRUCTURES (BUILT OBJECTS); SWITCHING SYSTEMS; TELECOMMUNICATION NETWORKS; UNCERTAIN SYSTEMS;

ACTUATOR FAILURES; GUARANTEED COST CONTROL; LASALLE'S INVARIANCE PRINCIPLE; MULTIPLE-LYAPUNOV FUNCTIONS; SWITCHED SYSTEMS;

COSTS;

EID: 61549113413     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720802145577     Document Type: Article

References (27)

1. Branieky, M.S. (1998), "Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems," IEEE Transactions on Automatic Control, 43, 475-482.
2. Chang, S.S.L., and Peng, T.K.C. (1972), "Adaptive Guaranteed Cost Control of Systems with Uncertain Parameters," IEEE Transactions on Automatic Control, 17, 474-83.
3. ∞ Nonlinear Control," IEEE International Fuzzy Systems Conference, 2, 708-771.
4. Chen, W.H.,' Guan, Z.H., and Lu, X.M. (2004), "Delay-dependent Output Feedback Guaranteed Cost Control for Uncertain Time-delay Systems," Automatica, 40, 1263-1268.
5. Fillipov, A.F. (1960), "Differential Equations with Discontinuous Right-Hand Side," Mathematical Proceedings, 51, 99-128 (in Russian).
6. -(1961), "Application of the Theory of Differential Equations with Discontinuous Right-Hand Side to Non-Linear Problems of Automatic Control", in Proceedings, the First World Congress of the IFAC, Moscow: Press of the Academy of Sciences of USSR.
7. Hespanha, J.P., Liberzon, D., Angeli, A., and Sontag, E.D. (2005), "Nonlinear Norm Observability Notions and Stability of Switched Systems," IEEE Transactions on Automatic Control, 50, 154-168.
8. ∞- control and Estimation of Optimal Hoc-gain," System & Control Letters, 24, 321-332.
9. Lefschetz, S. (1962), Stability of Nonlinear Control Systems, New York: Academic Press.
10. Li, Y., Wang, J.L., and Yang, G.H. (2002), "Reliable Guaranteed Cost Control for Singularly Perturbed Uncertain Systems", in Proceedings, the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV, Singapore, pp. 886-891.
11. Li, Z.G., Wen, C.Y., and Yoh, Y.C. (2001), "Switched Controllers and Their Application in Bilinear Systems," Automatica, 37,477-481.
12. Liang, Y.W., Liaw, D.C., and Lee, T.C. (2000), "Reliable Control of Nonlinear Systems," IEEE Transactions on Automatic Control, 45(4), 706-710.
13. Liberzon, D. (2003), Switching in Systems and Control, Boston: Birkhauser.
14. Liberzon, D., and Morse, A.S. (1999), "Basic Problems in Stability and Design of Switched Systems," IEEE Control System Magazine, 19, 59-70.
15. Miller, T. (1993), Switched Reluctance Motors and Their Control, Oxford, UK: Magna Physics Publishing - Clarendon Press.
16. Morioka, H., Sabanovic, A., Wada, K., and Jezernik, K. (1996), "Sliding Mode Control with Estimated Equivalent Control for Mimo Affine Nonlinear Systems," Proceedings of the 1996 IEEE IECON. 22nd International Conference on Industrial Electronics, Control, and Instrumentation, 1, 256-263.
17. Neymark, Yu I. (1953), "On Periodical Regimes and Stability of Delay Systems," Avtomatika I telemechanika, Vol. XIV (in Russian).
18. Petersen, D.C., Mcfarlane, D.C., and Rotea, M.A. (1998), "Optimal Guaranteed Cost Control of Discrete-time Uncertain Linear Systems," International Journal of Robust and Nonlinear Control, 8, 649-657.
19. 2Gain Analysis for Switched Delay Systems: A Delay-dependent Method," Automatica, 42, 1769-1774.
20. Wang, R., and Zhao, J. (2007), "Exponential Stability Analysis for Discrete-time Switched Linear Systems with Time-delay," International Journal of Innovative Computing, Information and Control, 3, 1557-1564.
21. Xie, L., and Soh, Y.C. (1994), "Robust Kalman Filtering for Uncertain Systems," System & Control Letters, 22, 123-129.
22. Yang, G.H., Wang, J.L., and Yeng, C.S. (2000), "Reliable Guaranteed Cost Control for Uncertain Nonlinear Systems," IEEE Transactions on Automatic Control, 45, 2188-2192.
23. Yang, X.F., Shen, T.L., and Tamura, K. (1997), "Approximate Solution of Hamilton-jacobi Inequality by Neural Networks," Applied Mathematics and Computation, 84, 49-64.
24. Yu, L., and Chu, J. (1999), "an LMI Approach to Guaranteed Cost Control of Linear Uncertain Time-delay Systems," Automatica, 35, 1155-1159.
25. Zhao, J., and Dimirovski, G.M. (2004), "Quadratic Stability of a Class of Switched Nonlinear Systems," IEEE Transactions on Automatic Control, 49, 574-578.
26. ∞ Control Based on Multiple Lyapunov Functions", in 6th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Germany, 2, pp. 567-572.
27. -(2005), "Dissipativity Theory for Switched Systems," in Proc. of the 44th IEEE conference on Decision and Control, Seville, Spain, pp. 7003-7008.