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Fuzzy Predictive Fault-Tolerant Control for Time-Delay Nonlinear Systems with Partial Actuator Failures

机译:局部执行器故障时滞非线性系统的模糊预测容错控制

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摘要

A fuzzy predictive fault-tolerant control (FPFTC) scheme is proposed for a wide class of discrete-time nonlinear systems with uncertainties, interval time-varying delays, and partial actuator failures as well as unknown disturbances, in which the main opinions focus on the relevant theory of FPFTC based on Takagi-Sugeno (T-S) fuzzy model description of these systems. The T-S fuzzy model represents the discrete-time nonlinear system in the form of the discrete uncertain time-varying delay state space, which is firstly constructed by a set of local linear models and the nonlinear membership functions. The novel improved state space model can be further obtained by extending the output tracking error to the constructed model. Then the fuzzy predictive fault-tolerant control law based on this extended model is designed, which can increase more control degrees of freedom. Utilizing Lyapunov-Krasovskill theory, less conservative delay-range-dependent stable conditions in terms of linear matrix inequality (LMI) constraints are given to ensure the asymptotically robust stability of closed-loop system. Meanwhile, the optimized cost function and H-infinity performance index are introduced to the stable conditions to guarantee the robust performance and antidisturbance capability. The simulation results on the temperature control of a strong nonlinear continuous stirred tank reactor (CSTR) show that the proposed control scheme is feasible and effective.
机译:甲模糊预测容错控制(FPFTC)方案,提出了一大类的离散时间非线性的不确定性,间隔时变延迟,以及部分致动器故障以及未知扰动系统,其中,所述主意见集中在FPFTC的相关理论基于这些系统的高木-关野(TS)模糊模型描述。的T-S模糊模型表示在离散不确定时变延迟状态的空间,这首先由一组局部线性模型和非线性隶属函数构造的形式的离散时间非线性系统。新颖的改进的状态空间模型可以由输出跟踪误差延伸到所述构造的模型能够进一步获得。然后在此基础上扩展模型的模糊预测容错控制律设计,这样可以增加更多的控制自由度。利用李雅普诺夫-Krasovskill理论中,给出了线性矩阵不等式方面不太保守的延迟范围依赖稳定的条件(LMI)约束,以确保闭环系统的渐近鲁棒稳定性。同时,优化的成本函数和H无穷性能指标被引入稳定的条件下,保证强劲的性能和能力的抗干扰。仿真结果上的较强的非线性连续搅拌釜反应器(CSTR)表明,所提出的控制方案是可行的,有效的温度控制。

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