Opportunity-awaiting control for linear discrete-time systems with constraints on exceeding tolerance characteristic indices
超差特征量指标约束下的离散系统待机控制

Based on the practical situation in target tracking process, an opportunity-awaiting control scheme for a class of linear discrete-time systems with constraints on exceeding tolerance characteristic (ETC) indices is put forward. First, the tracking interruption (control failure) probability is transformed to a set of ETC indices including the residence time, exceeding tolerance time and the random passage period time. Secondly, formulas of the ETC indices on the zonal target area are derived, and the consistency of the circular pole index and ETC indices is analyzed. When the above indices are consistent, a differential evolution (DE) algorithm is employed together with linear matrix inequality(LMI) method to find a satisfactory control strategy. Finally, a numerical example is presented to illustrate the proposed method.