CAJ | 학술논문

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．
연구일류수궤계통동시구유기망적대궤특정량지표화쇠감도지표약속적만의PID공제문제．수선기우변계천월정리，급출일충학정사폐배계통은정화사폐배계통만족기망적쇠감도지표약속적PID공제기삼수해집적방법．재기우대궤공제이론，추도출만족기망적대궤특정량지표：평균체류시간화평균대궤시간지표약속적PID공제기삼수해집표체식．응용만의공제사상，대상술기망지표적상용성진행료분석，급출료학정상용지표취치범위적유효산법，이급당기망지표상용시PID공제기삼수해집적구취책략．용일개산례설명료해방법적가행성화유효성．
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.