Design of guaranteed cost controller for switched singular systems with time-delay. (Chinese. English summary) Zbl 1289.93055

Li, Chunming; Tian, Xuemin

J. Beijing Univ. Technol. 38, No. 12, 1843-1847 (2012).

Summary: The authors study the problem of guaranteed cost controller design for a class of switched singular systems with both state and input delays. A new sufficient condition of the existence of guaranteed cost state feedback controllers is derived for the systems by constructing the generalized Lyapunov function and taking the linear matrix inequality approach. Furthermore, the problem of the guaranteed cost controller design could be turned into the solvable problem of a set of linear matrix inequalities. Finally, a numerical example is given to show the potential of the proposed technique.

MSC:

93B51	Design techniques (robust design, computer-aided design, etc.)
93C30	Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93B52	Feedback control

Keywords:

switched singular systems; time-delay systems; guaranteed cost control; linear matrix inequality