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首页> 外文期刊>Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on >Output Feedback Fuzzy Controller Design With Local Nonlinear Feedback Laws for Discrete-Time Nonlinear Systems
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Output Feedback Fuzzy Controller Design With Local Nonlinear Feedback Laws for Discrete-Time Nonlinear Systems

机译：离散非线性系统的具有局部非线性反馈律的输出反馈模糊控制器设计

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摘要

This paper considers the output feedback control problem for nonlinear discrete-time systems, which are represented by a type of fuzzy systems with local nonlinear models. By using the estimations of the states and nonlinear functions in local models, sufficient conditions for designing observer-based controllers are given for discrete-time nonlinear systems. First, a separation property, i.e., the controller and the observer can be independently designed, is proved for the class of fuzzy systems. Second, a two-step procedure with cone complementarity linearization algorithms is also developed for solving the $H_{ infty}$ dynamic output feedback (DOF) control problem. Moreover, for the case where the nonlinear functions in local submodels are measurable, a convex condition for designing $H_{infty}$ controllers is given by a new DOF control scheme. In contrast to the existing methods, the new methods can design output feedback controllers with fewer fuzzy rules as well as less computational burden, which is helpful for controller designs and implementations. Lastly, numerical examples are given to illustrate the effectiveness of the proposed methods.
机译：本文考虑了非线性离散时间系统的输出反馈控制问题，该问题以具有局部非线性模型的模糊系统为代表。通过使用局部模型中状态和非线性函数的估计，为离散时间非线性系统提供了设计基于观测器的控制器的充分条件。首先，针对一类模糊系统证明了一种分离特性，即可以独立设计控制器和观察者。其次，还开发了具有锥度互补线性化算法的两步过程，以解决$ H_ {infty} $动态输出反馈（DOF）控制问题。此外，对于局部子模型中的非线性函数是可测量的情况，通过新的自由度控制方案给出了设计$ H_ {infty} $控制器的凸条件。与现有方法相比，新方法可以设计具有较少模糊规则和较少计算负担的输出反馈控制器，这对控制器的设计和实现很有帮助。最后，通过算例说明了所提方法的有效性。

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