锅炉过热汽温系统H∞非脆弱鲁棒控制

H∞ non-fragile robust control for boiler-superheated-steam-temperature systems

给出了锅炉过热汽温系统被控对象和控制器同时摄动时的非脆弱鲁棒性能设计概念。解决了一类常规的鲁棒性能设计不能保证控制器摄动时系统仍具有鲁棒性的问题。提出了通过修改不确定性权函数和性能权函数可转化为用H∞混合灵敏度求解非脆弱鲁棒控制器的一种设计方法。研究了权函数的选择,求解了H∞非脆弱鲁棒PI控制器。仿真结果表明,本文提出的设计方法是有效的。

This paper presents the design concepts of the nonfragile robust performance of the boiler superheated steam temperature systems with the perturbations of the controlled members and the controllers. It can be used to solve the robustness problems of the perturbed controllers, which are impossible to be solved by the conventional robust performance designs. It is pointed out that the design of the nonfragile robust performance can be formulated as a H∞ mixed sensitivity problem, if the uncertainty weighting function and the performance weighting function are revised appropriately. The selections of the weighting functions are studied and the H∞ nonfragile robust PI controller is solved. The simulation results show that the proposed method is valid.