Abstract
This paper designs a sampled-data controller to exponentially stabilize a kind of chaotic systems (CSs) which are represented by T-S fuzzy model with nonuniform sampling. By employing a switched technology and Lyapunov functional dependent on fuzzy membership-functions (FMFs), a new control criterion for chaotic systems was established. Compared with the existing methods, less conservatism and a large sampling period can be obtained by above approaches. Consequently, the amount of transmitted information is greatly reduced and the efficiency of bandwidth is much improved. Finally, the proposed T-S fuzzy sampled-data (TSFSD) controller is applied to Lorenz system to prove the effectiveness of those methods.
Highlights
Chaotic phenomenon is a natural nonlinear phenomenon, and it has extensive applications in other areas, which include engineering, biology, physics and so on
The problems of nonlinear systems based on T-S fuzzy models have been researched during the past 20 years, for example, in [18],the authors proposed the problem of non fragile H∞ filtering for T-S fuzzy system
In [20], the sampling data control problem with input constraints is investigated, a new time-varying Lyapunov functional is constructed to obtain the criteria on the exponential stability of the chaotic system
Summary
Chaotic phenomenon is a natural nonlinear phenomenon, and it has extensive applications in other areas, which include engineering, biology, physics and so on. INDEX TERMS Chaotic system (CS), Takagi–Sugeno (T-S) fuzzy model, sampled-data controller, exponential stability. Y. Chen et al.: Switched Fuzzy Sampled-Data Control of CSs With Input Constraints
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