Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6952732 | Journal of the Franklin Institute | 2018 | 32 Pages |
Abstract
In this paper, we consider the problem of mixed Hâ and passivity control for a class of stochastic nonlinear systems with aperiodic sampling. The system states are unavailable and the measurement is corrupted by noise. We introduce an impulsive observer-based controller, which makes the closed-loop system a stochastic hybrid system that consists of a stochastic nonlinear system and a stochastic impulsive differential system. A time-varying Lyapunov function approach is presented to determine the asymptotic stability of the corresponding closed-loop system in mean-square sense, and simultaneously guarantee a prescribed mixed Hâ and passivity performance. Further, by using matrix transformation techniques, we show that the desired controller parameters can be obtained by solving a convex optimization problem involving linear matrix inequalities (LMIs). Finally, the effectiveness and applicability of the proposed method in practical systems are demonstrated by the simulation studies of a Chua's circuit and a single-link flexible joint robot.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Baolong Zhu, Mingliang Suo, Ying Chen, Zhiping Zhang, Shunli Li,