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首页> 外文期刊>Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on >Fuzzy Optimal Control for Multistage Fuzzy Systems
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Fuzzy Optimal Control for Multistage Fuzzy Systems

机译：多级模糊系统的模糊最优控制

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摘要

In the case that a system is affected by fuzzy factors, a fuzzy optimal-control problem is proposed. A fuzzy optimal-control problem for a multistage fuzzy system is considered to optimize the expected value of a fuzzy objective function subject to a multistage fuzzy system where, at every stage, the system is disturbed by a fuzzy variable. Based on Bellman's Principle of Optimality, a recurrence equation for the problem is presented. A linear quadratic fuzzy optimal-control problem is shown to have an exact solution by the recurrence equation if the system is affected by triangular fuzzy variables. For general cases, two methods, the hybrid intelligent algorithm and the finite-search method, are established to approximate the solutions of the problem. Finally, an example is used to show that these two methods are effective to solve a fuzzy optimal-control problem for a multistage fuzzy system.
机译：在系统受模糊因素影响的情况下，提出了模糊最优控制问题。考虑多级模糊系统的模糊最优控制问题，以优化受多级模糊系统约束的模糊目标函数的期望值，在该多级模糊系统中，每个阶段的系统都会受到模糊变量的干扰。基于贝尔曼最优原理，提出了该问题的递推方程。如果系统受三角模糊变量影响，则线性二次模糊最优控制问题可通过递推方程得到精确解。对于一般情况，建立了两种方法：混合智能算法和有限搜索方法，以近似解决问题。最后，通过一个例子说明了这两种方法对于解决多级模糊系统的模糊最优控制问题是有效的。

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