PI控制中衰减度与H_∞指标的相容性  

Consistency of decay ratio and H-infinity indices in PI control

作　　者：李银伢[1] 盛安冬[1] 王远钢[1] 郭治[1] 

机构地区：[1]南京理工大学自动化系,江苏南京210094

出　　处：《控制理论与应用》2007年第3期498-502,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60174028);博士点基金资助项目(20040288002).

摘　　要：研究n阶线性定常系统在PI控制下衰减度与H∞指标的相容性问题.首先基于D-分割法和边界穿越定理,分别推导了描述PI控制器参数稳定域边界、PI控制器满足期望的衰减度指标的参数边界和期望的H∞指标的参数边界的解析表达式.再应用满意控制思想,对上述期望指标的相容性进行了分析,给出了相容指标较好的取值范围.当上述两类指标相容时,可以迅速得到整个PI控制器相容性解集(满意解集).用一个算例说明了所提出的设计方法的有效性.The consistency of decay ratio index and H-infinity index under PI control for n-order linear time-invariant systems is considered in this paper. Based on the D-partition technique and the boundary cross theorem, the analytic expressions for describing the stabilizing boundaries, the parameter boundaries with the expected decay ratio index and H- infinity index of PI controller are derived, respectively. Using the idea of satisfactory control, the consistency of the above expected indices is analyzed and a good range of the consistent index is proposed. The whole consistency solution set （the satisfactory solution set） of PI controller can be quickly determined when the above two types of indices are consistent. A numerical example also shows the validity of the proposed design method.

关 键 词：满意控制 PI控制 相容性 H∞指标 衰减度 D-分割法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]