随机系统待机控制特征量指标约束下的满意PID控制  

On satisfactory PID control for stochastic systems with opportunity-awaiting control characteristic indices constraints

作　　者：李银伢[1] 郭治[1] 王远钢[1] 

机构地区：[1]南京理工大学自动化学院,南京210094

出　　处：《系统工程理论与实践》2008年第3期76-84,102,共10页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(60174028);国家博士点基金(20040288002)

摘　　要：研究一类随机系统同时具有期望的待机特征量指标和衰减度指标约束的满意PID控制问题.首先基于边界穿越定理,给出一种确定使闭环系统稳定和使闭环系统满足期望的衰减度指标约束的PID控制器参数解集的方法.再基于待机控制理论,推导出满足期望的待机特征量指标:平均滞留时间和平均待机时间指标约束的PID控制器参数解集表达式.应用满意控制思想,对上述期望指标的相容性进行了分析,给出了确定相容指标取值范围的有效算法,以及当期望指标相容时PID控制器参数解集的求取策略.用一个算例说明了该方法的可行性和有效性.The problem of satisfactory PID control for a class of stochastic systems with constraints on desired opportunity-awaiting control characteristic indices and decay ratio index is considered. First, based on the boundary cross theorem, an approach to determine all stabilizing PID controllers and the set of PID controller satisfying the desired decay ratio index is proposed. Second, according to the opportunity-awaiting control theory, the expressions of characterization of the set of PID controller satisfying the desired opportunity-awaiting characteristic indices, such as average residence time and average waiting time, are derived. Then, using the idea of satisfactory control, the consistency of the above three indices is analyzed. Moreover, an efficient algorithm to determine the range of consistent indices is also presented. Finally, the method of calculating the set of PID controller when the indices are consistent is given. A numerical example shows the validity and feasibility of the proposed method.

关 键 词：PID控制 待机控制 满意控制 相容性 方差 衰减度 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]