To enhance the dynamic performance of a class of complex uncertain systems with multiple time delay,the guaranteed-cost robust controller with H_∞ disturbance restraint is designed.
The problem of the reliable guaranteed-cost robust control for a class of uncertain switched linear time-delay systems with actuator failures is addressed in this paper. When actuators suffer from“serious failure”,the survived actuators can not stabilize the given system. Based on multiple Lyapunov function technique,we derived a sufficient condition for the existence of state feedback reliable guaranteed-cost controller in terms of linear matrix inequalities (LMIs).
3. The problem of robust stabilization for a class of linear systems with stateand control delay, norm-bounded uncertainties or convex polyhedronuncertainties is discussed using delay dependent method.
In this paper, at the base of the singular system control theory and the robust control theory for normal systems, we discuss the problem of robust H_∞ control, guarantee cost control and the application in economy.
A convex optimization problem with LMIs is formulated to design the optimal guaranteed-cost observer-based controls which minimize the guaranteed cost of the system considered.
For a class of systems With block diagonal time - varying parametric uncertainty and a given quadratic cost function, a sufficient condition for the existence of guaranteed cost state feedback control laws is derived, it is shown that this condition is equivalent to the solvability of a system of linear matrix inequalities, and its solutions provide a parametrized representation of the set of guaranteed cest control laws. Based on this fact, the problem of designing an optimul guaranteed cost control law i...
The guaranteed cost control problem for a class of linear systems with norm bounded time varying parameter uncertainty and a given quadratic cost function is considered. A sufficient condition for the existence of guaranteed cost state feedback controllers is presented in terms of the solvability to a certain system of linear matrix inequalities (LMIs), and the feasible solutions to the system of LMIs provide a parametrized representation of a set of guaranteed cost controllers. Furthermore, the character...
Aimed at the discrete time delay linear system possessing norm bounded time varying parameter uncertainty and a quadratic cost function, this paper studies the cost control problem of the system. And by using lapunov stability theory, the existence of the system obtained not only can make a closed loop system stable, but also can assure that its cost is not over the conditions of the guaranteed cost state feedback controlrate of a certain determinable upper bound. This paper also gives the design method f...