基于超差特征量指标约束的满意待机控制

Satisfactory opportunity-awaiting control with constraints on exceeding tolerance characteristic indices

在一类目标跟踪系统中,跟踪中断(控制失败)概率是系统的关键性指标。提出将这一指标转化为一组被称为超差特征量指标的约束集描述。依据满意待机控制理论,推导出带状目的域下超差特征量指标的解析表达式,并分析了其与区域极点以及稳态输出方差指标之间的相容性;当上述指标相容时,给出了待机控制器存在的充分条件,并利用双线性矩阵不等式技术对控制策略进行求解。仿真算例表明了该方法的有效性。

The tracking interruption（control failure） probability is the key index of a class of target tracking systems,and a set of exceeding tolerance characteristic（ETC） indices combined by residence time,exceeding tolerance time and random passage period time is proposed to describe the tracking interruption probability.Formulas of the ETC indices on zonal target area are concluded,and the consistency of circular pole index,steady output covariance index and ETC indices is analyzed.When the above indices are consistent,sufficient conditions for the existence of the opportunity-awaiting controller are developed,and an iterative algorithm is provided to find a satisfactory control strategy via the bilinear matrix inequality（BMI） approach.Finally,a numerical example is presented to illustrate the proposed method.