Robust finite‐time H _∞ control for switched systems by using sojourn‐probability‐dependent method

Abstract

This study deals with the problem of robust H ∞ finite-time boundedness analysis and design of finite-time H ∞ feedback control for discrete switched systems. By using sojourn probability information, a new kind of switched system model is proposed. Based on this model, sufficient conditions for the H ∞ finite-time boundedness are obtained by using Lyapunov functional method and the corresponding controllers are also designed. Moreover, when considering partially known probabilities and unknown system uncertainties, the analysis and design methods are also given. Finally, an example is given to illustrate the efficiency of the proposed method.

Finite‐time control of switched affine non‐linear systems based on the Lie derivative and iteration technique

“…Moreover, control is a control method with high robustness, which has the advantages of clear design idea and good control effect. The external disturbance and plant parameter variation are commonly found in practical switched systems, so the control problem or ‐gain for switched systems has always been a hot spot [7–13].…”