On the solvability of the constrained Lyapunov problem

IEEE Transactions on Automatic Control

Volumn 52, Issue 10, 2007, Pages 1982-1987

  Edwards, Christopher ^a   Yan, Xing Gang ^a   Spurgeon, Sarah K ^a  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

Constrained Lyapunov problem; Linear matrix inequalities (LMIs); Nonlinear observers; Output feedback

Indexed keywords

CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; NONLINEAR CONTROL SYSTEMS;

CONSTRAINED LYAPUNOV PROBLEM; NONLINEAR OBSERVERS;

LYAPUNOV METHODS;

EID: 36248992839     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2007.904324     Document Type: Article

References (16)

1. B. D. O. Anderson and S. Vongpanitlerd, Network Analysis and Synthesis: A Modern Systems Theory Approach. Englewood Cliffs, NJ: Prentice-Hall, 1973.
2. S. P. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory. Philadelphia, PA: SIAM, 1994.
3. C. T. Chen, Linear System Theory and Design. New York: Holt, Rinehart & Winston, 1984.
4. C. F. Cheng, "Output feedback stabilization for uncertain systems: Constrained Riccati approach," IEEE Trans. Autom. Control, vol. 43, no. 1, pp. 81-84, 1998.
5. D. M. Dawson, Z. Qu, and J. C. Carroll, "On the state observation and output feedback problems for nonlinear uncertain dynamic systems," Syst. Contr. Lett., vol. 18, no. 2, pp. 217-222, 1992.
6. C. Edwards and S. K. Spurgeon, Sliding Mode Control: Theory and Applications. London, U.K.: Taylor & Francis, 1998.
7. A. R. Galimidi and B. R. Barmish, "The constrained Lyapunov problem and its application to robust output feedback stabilization," IEEE Trans. Autom. Control, vol. AC-31, pp. 410-418, 1986.
8. G. Gu, "Stabilizability conditions of multivariable uncertain systems via output feedback control," IEEE Trans. Autom. Control, vol. 35, pp. 925-927, 1990.
9. H. K. Khalil, Nonlinear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1992.
10. K. S. Kim and Y. Park, "Equivalence between two solvability conditions for a static output feedback problem," IEEE Trans. Autom. Control vol. 45, p. 1877, 2000.
11. J. M. Maciejowski, Multivariable Feedback Design. Reading, MA: Addison-Wesley, 1989.
12. V. L. Syrmos, C. T. Abdallah, P. Dorato, and K. Grigoriadis, "Static output feedback - A survey," Automatica, vol. 33, pp. 125-137, 1997.
13. B. L. Walcott and S. H. Zak, "State observation of nonlinear uncertain dynamical systems," IEEE Trans. Autom. Control, vol. 32, pp. 166-170, 1987.
14. H. Wang and S. Daley, "Actuator fault diagnosis: An adaptive observer-based technique," IEEE Trans. Autom. Control, vol. 41, pp. 1073-1078, 1996.
15. X. G. Yan, C. Edwards, and S. K. Spurgeon, "Output feedback sliding mode control for nonminimum phase systems with nonlinear disturbance," Int. J. Contr., vol. 77, pp. 1353-1361, 2005.
16. X. G. Yan, J. J. Wang, X. Y. Lü, and S. Y. Zhang, "Decentralized output feedback robust stabilization for a class of nonlinear interconnected systems with similarity," IEEE Trans. Autom. Control vol. 43, pp. 294-299, 1998.