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).
4.Consider the problem that the controller with disturbance, a design method and conditions are obtained by selecting the optimization criterion suitably and Riccati equations.
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...
A Riccati equation approach to the guaranteed cost control of an uncertain time-delay system and a quadratic cost criterion was presented. The uncertain systems under consideration depend on a norm-bounded time-varying matrix of uncertain parameters. A memoryless state feedback guaranteed cost control law can be constructed by solving a certain parameter-dependent Riccati matrix equation.
The guaranteed cost filter design problem for a class of linear time varying uncertain systems is studied in this paper. A convenient method for the existence of robust guaranteed cost filter is given in the form of Linear Matrix Inequality (LMI). The solutions of the LMI method determine the parameters of the filter directly. The cost matrix can be optimized to get the optimal guaranteed cost filter if it exists. The robust stability of system can be guaranteed at the same time. A simulation example is gi...