Robust Control For Three Kinds Of Uncertain Time-delay Systems

The uncertainty and time-delay are two very difficult problems in system control. Fortu-nately, the models with indeterminacy can be dealt with Robust Control Theory if the constraints of which can be found while it can be done usually. Time-delay, however, strongly influences the stability and cost function of the controlling system. Considering the above situation the paper studies the control of the system with continual indeterminate time-delay.In the first part of the paper the backgrounds and some preliminaries are given. The back-grounds include the proposal of the systematic time-delay and indeterminacy and the research status of such kind issues while some definitions and lemmas are showed in the preliminaries.In the second part, we focus on the design of the Robust H∞Control of several kinds of indeterminate time-delay systems. Furthermore, non-fragile feedback robust control is discussed based on indeterminate time-delay systems. All conclusions in the paper are showed in the form of Linear Matrix Inequalities and we give a simulink example of the design of H∞, controller with Matlab on the basis of an example on the time-delay system with status and output inde-terminacy.