Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems
Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems
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DOI：
10.1007/s40815-016-0162-4
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发表时间：
2016-03
影响因子：
4.3
通讯作者：
H. Lam;Bo Xiao;Yan Yu;Xunhe Yin;Hugang Han;S. Tsai;Chin-Sheng Chen
中科院分区：
文献类型：
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作者：
H. Lam;Bo Xiao;Yan Yu;Xunhe Yin;Hugang Han;S. Tsai;Chin-Sheng Chen
本文主要研究基于模糊模型的控制系统的保成本稳定性分析。采用Takagi-Sugeno （T-S）模糊模型来表示非线性对象，并采用模糊控制器来关闭反馈回路。考虑一个加权线性二次代价函数作为代价指标来衡量闭环模糊系统在系统状态、系统输出和控制信号方面的性能。利用李雅普诺夫稳定性理论研究了FMB控制系统的稳定性，该稳定性理论以性能实现的代价指标最小为目标。采用分段线性隶属函数的隶属函数相关方法，将隶属函数信息纳入稳定性分析。在考虑由代价函数度量的系统性能的情况下，利用线性矩阵不等式获得了与隶属函数相关的稳定性条件，以确定系统的稳定性和反馈增益。仿真结果表明了该方法的有效性和优越性。
This paper focuses on the guaranteed cost stability analysis of fuzzy-model-based (FMB) control systems. Representing the nonlinear plant using a Takagi–Sugeno (T–S) fuzzy model, a fuzzy controller is employed to close the feedback loop. A weighted linear quadratic cost function is considered as the cost index to measure the performance of the closed-loop fuzzy system in terms of the system states, system outputs, and control signals. The stability of the FMB control system is investigated by the Lyapunov stability theory subject to the minimization of cost index for performance realization. A membership-function-dependent approach using the piecewise-linear membership functions is employed to include the information of membership functions into the stability analysis. Membership-function-dependent stability conditions in terms of linear matrix inequalities are obtained to determine the system stability and feedback gains with the consideration of the system performance measured by the cost function. A simulation example is provided to illustrate the effectiveness and merits of the proposed approach.