T-S模糊系统的动态自触发有限时间H_(∞)控制

Dynamic Self-triggering Finite Time H_(∞)Control for T-S Fuzzy Systems

文中研究一类不确定Takagi-Sugeno(T-S)模糊系统的自触发有限时间H_(∞)控制。首先,提出动态自触发方案,构造触发参数的动力学方程,从而使自触发机制能依据触发时刻状态自适应地调整触发参数;同时,基于当前触发时刻的系统状态实时计算触发间隔,预测下一个触发时刻。相较于T-S模糊系统的静态自触发方案,文中所提的动态自触发方案能进一步降低触发频率,节约计算资源。其次,基于有限时间稳定理论,设置系统状态运动轨迹的次临界界限;结合状态轨迹与次临界界限的相对位置关系和动态自触发方案,分析系统的H_(∞)性能;此外,设计依赖模糊规则的H_(∞)状态反馈控制律,保证T-S模糊系统的动力学行为有限时间有界。最后,给出实例仿真验证文中方法的可行性。

This paper aims to investigate the self-triggered finite-time H_(∞)control of a class of uncertain Takagi-Sugeno(TS)fuzzy systems.Firstly,a dynamic self-triggered scheme was developed,constructing the dynamic equation for trigger parameters.This allows the self-triggering mechanism to adaptively adjust trigger parameters based on the state at the triggering moment.Simultaneously,the real-time calculation of the triggering interval was performed based on the current system state at the triggering moment,predicting the next triggering instance.In comparison to the static self-triggered scheme for T-S fuzzy systems,the dynamic self-triggered scheme presented in this paper can further reduce trigger frequency,thereby conserving computational resources.Secondly,based on finite-time stability theory,a subcritical boundary for the system state trajectory was established.Through an analysis of the relative position between the state trajectory and the subcritical boundary,considering the dynamic selftriggered scheme,the H_(∞)performance of the system was evaluated.Furthermore,a fuzzy rule-dependent H_(∞)state feedback control law was designed,and the dynamic behavior of T-S fuzzy system was guaranteed to be bounded in finite time.Finally,an example was given to verify the feasibility of the proposed method.