Robust strictly dissipative control for discrete singular systems

IET Control Theory and Applications

Volumn 1, Issue 4, 2007, Pages 1060-1067

  Dong, X Z ^a  

^a QINGDAO UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; UNCERTAIN SYSTEMS;

DISCRETE SINGULAR SYSTEMS; PARAMETER UNCERTAINTIES; STRICT DISSIPATIVENESS; STRICTLY DISSIPATIVE CONTROL;

ROBUST CONTROL;

EID: 34250801556     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20060173     Document Type: Article

References (25)

1. Willems, J.C.: ' Dissipative dynamical systems, part 1: general theory; part 2: linear systems with quadratic supply rate ', Arch. Rational Mech. Anal., 1972, 45, p. 321-393
2. Hill, D.J., and Morlan, P.J.: ' Connections between finite gain and asymptotical stability ', IEEE Trans. Autom. Control, 1980, 25, p. 931-936 0018-9286
3. Hill, D.J., and Morlan, P.J.: ' Stability results for nonlinear feedback systems ', Automatica, 1977, 13, p. 377-382 10.1016/0005-1098(77)90020-6 0005-1098
4. Xie, S., Xie, L., and de Souza, C.E.: ' Robust dissipative control for linear systems with dissipative uncertainty ', Int. J. Control, 1998, 70, p. 169-191 10.1080/002071798222352 0020-7179
5. Tan, Z., Soh, Y.C., and Xie, L.: ' Dissipative control for linear discrete-time systems ', Automatica, 1999, 35, p. 1557-1564 0005-1098
6. Li, Z., Wang, J., and Shao, H.: ' Delay-dependent dissipative control for linear time-delay systems ', J. Franklin Inst., 2002, 339, p. 529-542 0016-0032
7. Liu, F., Su, H., and Chu, J.: ' Robust strictly dissipative control for linear discrete time-delay systems ', Acta Autom. Sin., 2002, 28, p. 897-903, (in Chinese) 0254-4156
8. Dai, L.: ' Singular control systems. Lecture notes in control and information sciences ', (Springer-Verlag, Berlin, 1989)
9. Luenberger, D.G., and Arbel, A.: ' Singular dynamical Leotief systems ', Econometrica, 1977, 5, p. 991-995
10. Newcomb, R.W.: ' The semistate description of nonlinear time variable circuits ', IEEE Trans. Circuits Syst., 1981, 28, p. 62-71 10.1109/TCS.1981. 1084908 0098-4094
11. Cobb, D.: ' Controllability, observability, and duality in singular systems ', IEEE Trans. Autom. Control, 1984, 29, p. 1076-1082 10.1109/TAC.1984.1103451 0018-9286
12. ∞ control for descriptor systems: a matrix inequality approach ', Automatica, 1997, 33, p. 669-673 10.1016/S0005-1098(96)00193-8 0005-1098
13. Hsiung, K.L., and Lee, L.: ' Lyapunov inequality and bounded real lemma for discrete-time descriptor systems ', IEE Proc., Control Theory Appl., 1999, 146, p. 327-331 10.1049/ip-cta:19990451 1350-2379
14. ∞ control of discrete-time descriptor systems ', Proc. Am. Control Conf., Anchorage, AK, 2002, p. 614-619
15. ∞ control for discrete singular systems with state delay and parameter uncertainty ', Dyn. Continuous, Discrete Impulse Syst. B, 2002, 9, p. 539-544
16. ∞ control for singular systems with state delay and parameter uncertainty ', 2004 World Congress on Intelligent Control and Automation, Hangzhou, China, 2004, 2, p. 1035-1039
17. Zhang, L., Lam, J., and Xu, S.: ' On positive realness of descriptor systems ', IEEE Trans. Circuits Syst. I: Fundamental Theory Appl., 2002, 49, p. 401-407 1057-7122
18. Lee, L., and Chen, J.L.: ' Strictly positive real lemma and absolute stability for discrete-time descriptor systems ', IEEE Trans. Circuits Syst. I: Fundamental Theory Appl., 2003, 50, p. 788-794 1057-7122
19. Xu, S., and Lam, J.: ' New positive realness conditions for uncertain discrete descriptor systems: analysis and synthesis ', IEEE Trans. Circuits Syst. I: Regular Papers, 2004, 51, (9), p. 1897-1905
20. Dong, X., and Zhang, Q.: ' Robust strictly dissipative control for linear singular systems ', Control and Decision, 2005, 20, (2), p. 195-198, (in Chinese)
21. Masubuchi, I.: ' Dissipativity inequalities for continuous-time descriptor systems with applications to synthesis of control gains ', Syst. Control Lett., 2006, 55, p. 158-164 10.1016/j.sysconle.2005.06.007 0167-6911
22. Dong, X., Zhang, Q., and Guo, K.: ' Passive control of discrete singular systems ', J. Northeastern Univ. (Nat. Sci.), 2003, 24, (4), p. 342-344, (in Chinese)
23. Xu, S., and Yang, C.: ' Stabilization of discrete-time singular systems: a matrix inequalities approach ', Automatica, 1999, 35, p. 1613-1617 10.1016/S0005-1098(99)00061-8 0005-1098
24. Xu, S., and Lam, J.: ' Robust stability and stabilization of discrete singular systems: an equivalent characterization ', IEEE Trans. Autom. Control, 2004, 49, p. 568-574 10.1109/TAC.2003.822854 0018-9286
25. Albert, A.: ' Conditions for positive and nonnegative definiteness in terms of pseudoinverses ', SIAM J. Appl. Math., 1969, 17, p. 434-440 0036-1399