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    吴婧璇, 王昕, 王振雷. 多指标约束的满意PIλDμ控制器设计[J]. 华东理工大学学报(自然科学版), 2014, (3): 357-364.
    引用本文: 吴婧璇, 王昕, 王振雷. 多指标约束的满意PIλDμ控制器设计[J]. 华东理工大学学报(自然科学版), 2014, (3): 357-364.
    WU Jing-xuan, WANG Xin, WANG Zhen-lei. Satisfactory Fractional PIλDμ Controller Design with Multiple Desired Indexes Constraints[J]. Journal of East China University of Science and Technology, 2014, (3): 357-364.
    Citation: WU Jing-xuan, WANG Xin, WANG Zhen-lei. Satisfactory Fractional PIλDμ Controller Design with Multiple Desired Indexes Constraints[J]. Journal of East China University of Science and Technology, 2014, (3): 357-364.

    多指标约束的满意PIλDμ控制器设计

    Satisfactory Fractional PIλDμ Controller Design with Multiple Desired Indexes Constraints

    • 摘要: 当前,对于分数阶PIλDμ控制器的研究基本都集中在稳定域分析或针对单一指标的参数整定,但在实际工业应用中,控制器的设计常常需要考虑多种因素,使控制系统同时满足多个性能指标,而各个性能指标之间往往存在竞争关系,很难取得平衡。针对这个问题,本文根据满意控制思想,提出了一种多指标约束的分数阶PIλDμ控制器的设计方法,讨论了在扰动衰减H∞指标、灵敏度指标以及控制代价指标约束下PIλDμ控制器参数满意解集的求取策略,并通过仿真验证了该方法是可行有效的。

       

      Abstract: At present, the study on PIλDμ controller has mainly focused on the analysis of stable domain or the parameter tuning for single index. However, in practical application, various of factors had to be considered for the design of controllers and many performance indexes will be required for the control system. Moreover, there usually exists competition among these indexes. In order to cope with the above problem, this paper utilizes the idea of satisfactory control to design a satisfactory PIλDμ controller with constraints of multiple desired indexes. Moreover, the strategy of solving PIλDμ controller’s parameter is discussed, under the constraint of disturbance attenuation index, sensitivity index and control cost index. The simulation result shows that the proposed method is effective and feasible.

       

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