基于模糊多目标的分布参数系统最优控制方法

Optimal Control of Distributed-parameter Systems Based on Fuzzy Multi-objective

针对热传导分布参数系统中的优化控制问题,通过近似线性化形成了具有不同优先级的模糊多目标优化问题,并提出了两步式模糊满意优化算法。通过参数调节,该方法既可以保证所有性能指标均能得到满意的优化,又可以满足相互之间的优先级要求,同时还降低了计算量。仿真结果表明了方法的有效性。

For the optimal control problem in heat conduction distributed-parameter systems, a fuzzy multi-objective optimal control problem with priority structure was formulated by approximate linearity. Then the two-step fuzzy satisfactory optimization method was proposed to solve this problem. By means of regulating the parameter, this presented approach could guarantee not only satisfactory optimization of all the performance indexes, but also the preemptive priorities requirement among these performance indexes, and the computation burden was decreased at the meanwhile. Its effectiveness was demonstrated by simulation.