Design the finite-time H∞ controller of a class of time-delayed uncertain positive systems

摘要

This paper deals with the finite-time H controller problem for a class of time-delay and with uncertain parameters continuous positive systems. For the systems with unknown disturbances, our aim is to design a suitable control law which makes the closed-loop system be finite-time bounded and satisfies the given H performance. By using the constructed Lyapunov function and linear matrix inequalities (LMIs) technique, sufficient conditions that the solution of the finite-time H controller existed are given and proved. Finally, a simulation example is presented to show the feasibility and validity of the present methods.