Robust Tracking Control for Takagi–Sugeno Fuzzy Systems With Unmeasurable Premise Variables: Application to Tank System
Robust Tracking Control for Takagi–Sugeno Fuzzy Systems With Unmeasurable Premise Variables: Application to Tank System
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DOI：
10.1115/1.4026467
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发表时间：
2014-07
影响因子：
1.7
通讯作者：
H. Ghorbel;A. Hajjaji;M. Souissi;M. Chaabane
中科院分区：
文献类型：
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作者：
H. Ghorbel;A. Hajjaji;M. Souissi;M. Chaabane
本文综合了一种基于模糊观测器的基于Takagi-Sugeno （TS）模型的具有不可测前提变量的连续非线性系统的鲁棒跟踪控制器。利用H∞范数和Lyapunov方法，对具有不可测前提和状态的TS模糊系统进行了控制设计，以保证闭环系统的跟踪性能。利用线性矩阵不等式约束驱动模糊观测器和模糊控制综合的充分松弛条件。该方法简化了设计过程，并在一步内给出了观测器和控制器的增益。通过一个双罐系统的数值仿真，说明了跟踪控制的设计过程，验证了所提方法的有效性。
In this paper, a robust fuzzy observer-based tracking controller for continuous-time nonlinear systems presented by Takagi–Sugeno (TS) models with unmeasurable premise variables, is synthesized. Using the H∞ norm and Lyapunov approach, the control design for TS fuzzy systems with both unmeasurable premises and system states is developed to guarantee tracking performance of closed loop systems. Sufficient relaxed conditions for synthesis of the fuzzy observer and the fuzzy control are driven in terms of linear matrix inequalities (LMIs) constraints. The proposed method allows simplifying the design procedure and gives the observer and controller gains in only one step. Numerical simulation on a two tank system is provided to illustrate the tracking control design procedure and to confirm the efficiency of the proposed method.