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针对一类连续非线性时变时滞互联系统,研究其分散容错控制问题。采用Takagi-Sugeno(T-S)模型对非线性互联系统进行建模,利用分散平行分布补偿算法设计模糊分散控制器,根据李雅普诺夫稳定性理论,自由加权矩阵及线性矩阵不等式(LMIs)方法给出了非线性时滞互联系统执行器发生故障时,系统仍能保持稳定性的充分条件。通过数值仿真进一步验证所提方法的有效性。
Aiming at a class of continuous nonlinear time-varying interconnected systems with time-varying delays, the distributed fault-tolerant control problem is studied. The Takagi-Sugeno (TS) model is used to model the nonlinear interconnected system. The decentralized parallel distributed compensation algorithm is used to design the fuzzy decentralized controller. According to the Lyapunov stability theory, the free-weight matrix and the linear matrix inequality (LMIs) The sufficient conditions for the system to maintain its stability in the event of a failure of actuator with nonlinear time-delay interconnected system. The validity of the proposed method is further verified by numerical simulation.