一阶双曲型偏微分方程的模糊边界控制

Abstract

Abstract: This paper deals with the problem of fuzzy boundary control design for a class of semi-linear hyperbolic PDEs. A Takagi-Sugeno (T-S) fuzzy PDE model is applied to accurately represent the semilinear hyperbolic PDEs system via fuzzy control approach. Based on the T-S fuzzy PDE model, the fuzzy boundary controllers, which is easily implemented since only boundary actuators are used, are proposed to ensure the exponential stability of the resulting closed-loop system. Sufficient conditions of exponential stabilization are established by employing the Lyapunov direct method and presented in term of standard linear matrix inequalities. Finally, the advantages and effectiveness of the proposed control methodology are demonstrated by the simulation results of the examples.

Key words: Nonlinear hyperbolic partial differential equations, T-S Fuzzy model, Boundary control, Fuzzy boundary control, Exponential Stability

CLC Number:

O231.4

Xiong Jun, Li Junmin, He Chao. Fuzzy Boundary Control Design for a Class of First-Order Hyperbolic PDEs[J].Acta mathematica scientia,Series A, 2017, 37(3): 469-477.

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Fuzzy Boundary Control Design for a Class of First-Order Hyperbolic PDEs

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