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首页> 外文期刊>International Journal of Innovative Computing Information and Control >DESIGN OF STABLE AND QUADRATIC-OPTIMAL STATIC OUTPUT FEEDBACK CONTROLLERS FOR TS-FUZZY-MODEL-BASED CONTROL SYSTEMS: AN INTEGRATIVE COMPUTATIONAL APPROACH
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DESIGN OF STABLE AND QUADRATIC-OPTIMAL STATIC OUTPUT FEEDBACK CONTROLLERS FOR TS-FUZZY-MODEL-BASED CONTROL SYSTEMS: AN INTEGRATIVE COMPUTATIONAL APPROACH

机译:基于TS-模糊模型的控制系统的稳定和二次最优静态输出反馈控制器的设计:一种集成的计算方法

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摘要

By integrating the stabilizability condition, the orthogonal-functions approach (OFA) and the hybrid Taguchi-genetic algorithm (HTGA), an integrative computational method is presented in this paper to design the stable and quadratic-optimal static output feedback parallel-distributed-compensation (PDC) controller such that (i) the Takagi-Sugeno (TS) fuzzy-model-based control system can be stabilized, and (ii) a quadratic finite-horizon integral performance index for the TS-fuzzy-model-based control system can be minimized. In this paper, the stabilizability condition is proposed in terms of linear matrix inequalities (LMIs). By using the OFA and the LMI-based stabilizability condition, the stable and quadratic-finite-horizon-optimal static output feedback PDC control problem for the TS-fuzzy-model-based dynamic systems is transformed into a static constrained-optimization problem represented by the algebraic equations with constraint of LMI-based stabilizability condition, thus greatly simplifying the optimal static output feedback PDC control design problem. Then, for the static constrained-optimization problem, the HTGA is employed to find the stable and quadratic-optimal static output feedback PDC controllers of the TS-fuzzy-model-based control systems. A design example of stable and quadratic-optimal static output feedback PDC controller for a nonlinear inverted pendulum system controlled by a separately excited direct-current (DC) motor is given to demonstrate the applicability of the proposed integrative computational approach.
机译:通过整合稳定条件,正交函数法(OFA)和混合田口遗传算法(HTGA),提出了一种综合计算方法来设计稳定和二次最优的静态输出反馈并行分配补偿。 (PDC)控制器,以便(i)可以稳定基于Takagi-Sugeno(TS)模糊模型的控制系统,以及(ii)基于TS-模糊模型的控制系统的二次有限水平积分性能指标可以最小化。本文根据线性矩阵不等式(LMI)提出了稳定性条件。通过使用OFA和基于LMI的稳定性条件,将基于TS模糊模型的动态系统的稳定和二次有限水平最优静态输出反馈PDC控制问题转化为以表示的静态约束优化问题基于LMI稳定性条件的代数方程,大大简化了最优静态输出反馈PDC控制设计问题。然后,针对静态约束优化问题,采用HTGA来找到基于TS模糊模型的控制系统的稳定且二次最优的静态输出反馈PDC控制器。给出了一个由单独励磁直流电机控制的非线性倒立摆系统的稳定和二次最优静态输出反馈PDC控制器的设计实例,以证明所提出的集成计算方法的适用性。

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