Robust H∞ control for uncertain nonlinear stochastic neutral systems with state delays

Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

Volumn 4, Issue , 2003, Pages 3164-3169

  Tsai, Jason Sheng Hong ^a   Lu, Chien Yu ^a   Su, Te Jen ^b  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

Author keywords

Linear matrix inequalities; Stochastic stability; Time delay systems; Uncertainty

Indexed keywords

FEEDBACK CONTROL; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; PERTURBATION TECHNIQUES; RANDOM PROCESSES; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; SYSTEM STABILITY; THEOREM PROVING; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITY; STATE DELAY; STATE FEEDBACK CONTROL; STOCHASTIC STABILITY; UNCERTAIN NEUTRAL SYSTEM; UNCERTAIN NONLINEAR STOCHASTIC NEUTRAL SYSTEM;

OPTIMAL CONTROL SYSTEMS;

EID: 0242552693     PISSN: 08843627     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. M. Malek-Zavarei and M. Jamshidi, Time-delay systems: analysis, optimization and application, ser. Systems and control. Amsterdam The Netherlands: North Holland, 1987, vol. 9.
2. M. Mahmoud, "Robust control and filtering for time-delay systems, Marcel Dekker, New York, 2000.
3. L. Dugard and E. I. Verriest, Stability and control of time-delay systems, Springer, 1997.
4. ∞ control problems," IEEE Trans. Automat. Contr., vol. 34, pp. 831-847, Aug. 1989.
5. K. Zhou and P. P. Khargonekar, "An algebraic Riccati equation approach," Syst. Control Lett., vol. 11, pp. 85-91, 1988.
6. ∞ controllers for state delayed systems," IEEE Trans. Automat. Contr., vol. 39, pp. 159-162, Jan. 1994.
7. ∞ controller design for linear systems with state and control," Automatica, vol. 31, pp. 917-919, 1995.
8. ∞ controller for time-delay systems using linear matrix inequalities," J. Optim. Theory Appl., vol. 100, pp. 89-121, 1999.
9. ∞ control of discrete-time linear systems with norm-bounded uncertainties and time delay in state," Automatica, vol. 34, pp. 137-139, 1998.
10. S.-I. Niculescu, Delay effects on stability: a robust control approach, London, U. K.: Springer-Verlag, 2001.
11. J. X. Kuang, J. X. Xiang and H. J. Tian, "The asymptotic stability of one-parameter methods for neutral differential equations," BIT, vol. 34, pp.400-408, 1994.
12. T. G. Chu, "Analysis of practical stability and Lyapunov stability of linear time-varying neutral delay systems," International Journal of Systems Science, pp. 919-924, 1997.
13. E. I. Verriest and S.-I. Niculescu, 1998, "On stability properties of some class of linear neutral systems," Proc. 1998 MTNS, Padova, Italy, pp.559-562.
14. ∞ control of linear neutral systems," Automatica, vol. 36, pp. 757-764, 2000.
15. ∞ and positive-real control for linear neutral delay systems," IEEE Trans. Automat. Contr., vol. 46, Aug., pp. 1321-1326, 2001.
16. ∞ control of linear time-delay systems," IEEE Trans. Automat. Contr., vol. 47., Febru., pp 253-270, 2002.
17. S. Boyd, L. Ei Ghaoui, E. Feron and V. Balakrishnan, Linear matrix inequalities in system and control theory, PA:SIAM, Philadelphia, 1994.