Robust Control of T-S Fuzzy Stochastic System with Time-Delay

Lu Ye; Peng Shi-guo

doi:10.3969/j.issn.1007-7162.2013.01.012

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Robust Control of T-S Fuzzy Stochastic System with Time-Delay

更新时间：2026-05-27

- Robust Control of T-S Fuzzy Stochastic System with Time-Delay
- Vol. 30, Issue 1, Pages: 68-72(2013)
- 作者机构：
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- DOI：10.3969/j.issn.1007-7162.2013.01.012
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- Published：2013
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鲁叶, 彭世国. T-S模糊随机时滞系统的鲁棒控制[J]. 广东工业大学学报, 2013, 30(1): 68-72.

Lu Ye, Peng Shi-guo. Robust Control of T-S Fuzzy Stochastic System with Time-Delay[J]. 2013, 30(1): 68-72.
鲁叶, 彭世国. T-S模糊随机时滞系统的鲁棒控制[J]. 广东工业大学学报, 2013, 30(1): 68-72. DOI： 10.3969/j.issn.1007-7162.2013.01.012.

Lu Ye, Peng Shi-guo. Robust Control of T-S Fuzzy Stochastic System with Time-Delay[J]. 2013, 30(1): 68-72. DOI： 10.3969/j.issn.1007-7162.2013.01.012.

摘要

基于T-S模糊模型讨论具有参数不确定性和变时滞的随机非线性系统的时滞相关鲁棒控制器设计问题.基于Lyapunov稳定性理论、Schur补引理、Jensen积分不等式和自由权矩阵方法以及Ito公式，利用并行分布补偿（PDC）法，以线性矩阵不等式(LMI)的形式给出控制器存在的充分条件，以保证对所允许的不确定性，当LMIs可行时即可构造出相应的状态反馈控制律.最后，给出数值算例验证所提出方法的有效性.

Abstract

Based on the T-S model

it researches the problem with delay-dependent robust fuzzy control for stochastic nonlinear systems with parameter uncertainty and time-varying delay. According to theories and approaches of Lyapunov stability

Schur complement lemma，Jensen integral inequality and free weighting matrices and Ito formula

the system controller was designed for all admissible uncertainties by using the PDC method. When the LMIs were feasible

the desired state feedback controller could be constructed. Finally

the numerical example was given to demonstrate the effectiveness of the method.

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