H∞ Filtering of Stochastic Fuzzy Systems Based on Hybrid Modeling Technique with Aperiodic Sampled-Data

作者：Li, Shuqi; Deng, Feiqi^*; Xing, Mali; Xiao, Jing

来源：International Journal of Fuzzy Systems, 2021, 23(7): 2106-2117.

DOI：10.1007/s40815-021-01080-3

• Stochastic T-S fuzzy systems
• H-infinity
• Hybrid modeling
• Time-varying Lyapunov function
• Aperiodic sampled-data

This paper is concerned with the problem of H-infinity fuzzy filtering for continuous nonlinear stochastic systems which can be approximated by the Takagi-Sugeno (T-S) fuzzy systems and the input is aperiodically sampled. We proposed the fuzzy parameters dependent filtering to estimate the state variables for nonlinear stochastic systems. In general, it is difficult to solve the filtering parameters under the hybrid modeling technique of the sampled-data. And the discrete feedback property under the input-delay technique of the sampled-data always disappears. Therefore, we introduce the improved hybrid modeling technique to keep the discrete feedback property of the closed-loop systems. Next, the improved time-varying Lyapunov function method is adopted to analyze the remodeled hybrid systems. Then the sufficient conditions of mean-squared exponential stability and H-infinity performance of the filtering error systems are obtained and the parameters of the fuzzy filtering can be solved. The proposed improved hybrid modeling technique can be widely applied to practically address the H-infinity filtering design problem. Finally, a practical example of the balancing problem about inverted pendulum is used to show the effectiveness of the theoretical results.

• 单位
  广东工业大学