1. Mixed H∞ and passivity control for a class of stochastic nonlinear sampled-data systems.
- Author
-
Zhu, Baolong, Suo, Mingliang, Chen, Ying, Zhang, Zhiping, and Li, Shunli
- Subjects
- *
MONTE Carlo method , *NONLINEAR systems , *NOISE measurement , *CLOSED loop systems , *STOCHASTIC difference equations - Abstract
In this paper, we consider the problem of mixed H ∞ 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 H ∞ 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. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF