Finite-Time H2H∞ Control Design for Stochastic Poisson Systems with Applications to Clothing Hanging Device

Abstract EN

In this paper, the design of finite-time H2/H∞ controller for linear Itô stochastic Poisson systems is considered.

First, the definition of finite-time H2/H∞ control is proposed, which considers the transient performance, H2 index, and H∞ index simultaneously in a predetermined finite-time interval.

Then, the state feedback and observer-based finite-time H2/H∞ controllers are presented and some new sufficient conditions are obtained.

Moreover, an algorithm is given to optimize H2 and H∞ index, simultaneously.

Finally, a simulation example indicates the effectiveness of the results.