Title :
H∞ control of discrete-time systems with norm-bounded uncertainties and time delay in state
Author :
Ming, Zhang ; Hongwei, Xie ; Zhuo, Li
Author_Institution :
Dept. of Auto-Control, Nat. Univ. of Defense Technol., Changsha, China
Abstract :
Studies the problem of H∞ control for discrete-time systems with norm-bounded uncertainties and time delay in state. The sufficient conditions for the existence of H∞ filters are derived in terms of a special kind of nonlinear matrix inequality P>g(P), which can be solved by a simple recursive algorithm. Moreover the design method of H∞ control is obtained. The advantage of this approach is that there may be the chance to select the gain K=h(P), where h(.) is a matrix function. The results of Song Seong-Ho and Kim Jeom-Keun (1998) is a special case of the main results in this paper. A numerical example is given to illustrate the main results
Keywords :
H∞ control; Riccati equations; delays; discrete time systems; matrix algebra; uncertain systems; H∞ control; design method; discrete-time systems; matrix function; nonlinear matrix inequality; norm-bounded uncertainties; simple recursive algorithm; sufficient conditions; time delay; Chaos; Control systems; Delay effects; Design methodology; Filters; Linear matrix inequalities; Riccati equations; Uncertainty;
Conference_Titel :
Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on
Conference_Location :
Hefei
Print_ISBN :
0-7803-5995-X
DOI :
10.1109/WCICA.2000.863154
