On Local Non-quadratic Guaranteed Cost Control for Continuous-time Takagi-Sugeno Models

摘要：

This paper focuses on the problem of guaranteed cost control for continuous-time nonlinear models in the Takagi- Sugeno (T-S) form. A linear quadratic cost function is considered as a performance index of the closed-loop fuzzy system. New guaranteed cost control strategy is derived based on the non-quadratic Lyapunov function and non-PDC control law. The well known problem of handing time-derivatives of membership function (MFs) is overcomed by reducing global goals to the estimation of region of attraction. It is shown that the derived local conditions actually lead to reasonable advantages over the existing quadratic approach. Moreover, conditions for the solvability of the guaranteed cost controller design given here are written in the form of linear matrix inequalities (LMIs) which can be efficiently solved by convex optimization techniques. Simulation example is given to demonstrate the validity of the proposed approaches.

关键词： Non-quadratic Lyapunov function Local conditions Continuous-time Takagi-Sugeno fuzzy models Linear matrix inequality

作者: PAN Juntao XIN Yunbing GUERRA Thierry Marie FEI Shumin JAADARI Abdelhafidh

作者单位: Key Laboratory of Measurement and Control of CSE of Ministry of Educatio, Southeast University, Nanj School of Science, Jimei University, Xiamen 361021, P. R. Chin LAMIH, UMR CNRS8503, University of Valenciennes et Hainaut-Cambr ′ esis, Le Mont Houy, 59313 Valenci Key Laboratory of Measurement and Control of CSE of Ministry of Educatio, Southeast University, Nanj

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 3505-3510

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）