应用于离散模糊系统的最优模糊追踪器设计

针对二阶离散式模糊追踪系统,提出用于构造一种最优模糊追踪器的设计方式, 并用于追踪一类时变目标或任意模型目标.为了能让所提出的设计方法完整并达到总体最小 化,提出了一种近似线性化的离散模糊动态系统的表示法.另外,为了简化计算量,一个多 层分解方式被用于本文所提出的最优设计程序中,模拟结果显示,本文提出的最优模糊追踪 设计方式确能达到预期效果.

Optimal Fuzzy Tracking Controller Design for Discrete-time Fuzzy Systems

In this paper. we propose a systematic and theoretically sound way to design a global optimal fuzzy tracking controller for discrete-time fuzzy systems with the aim of solving the discrete-time quadratic tracking problems with moving or model-following targets under finite or infinite horizon (time). A Linear-Like dynamical system representation of discrete-time fuzzy system is proposed to mature the theoretical design scheme of the discrete-time optimal fuzzy tracking controller which can achieve global mini- mum effect. A multistage decomposition of optimization scheme is proposed to simplify the computation, and then a segmental recursive Riccati-like equation and a difference equation in tracing the variation of the target are derived. Moreover, in the case of time-invariant fuzzy tracking systems, we show that the optimal tracking controller can be obtained by just solving discrete-time algebraic Riccati-like equations and algebraic matrix equations. An example is gived to illustrate the proposed optimal fuzzy tracker design scheme.