控制增益和平均滞留时间约束下的待机控制优化问题研究

On Control of Opportunity Awaiting Time Optimization with Constraints of Controller Gain and Average Residence Time

基于已有的以随机穿越量稳态方差表示的平均待机时间和平均滞留时间数学关系式,给出了以控制增益为变量的平均待机时间和平均滞留时间解析函数表达式;采用优化方法直接求解带有控制增益和平均滞留时间约束的平均待机时间优化控制问题;利用一个例子对该优化方法求解的过程进行了说明。结果表明本文提出的方法为待机控制系统的设计提供了一条有效的技术途径。

Based on the known mathematical expressions of the average opportunity awaiting and the average residence times in the form of steady variance Of the stochastic passage process, the analytical functions of the average opportunity awaiting and the average residence times in controller gain were given; the optimization problem with constraints of controller gain and average residence time was solved by the proposed method; the solving process of the proposed method was demonstrated by an example. The solved result shows that the method can provide an effective way for designing opportunity awaiting control systems.