线性不确定系统具有方差约束的可靠控制

在指定极点区域和状态方差约束的前提下,研究了线性不确定系统的可靠控制问题·采用比离散故障模型更实际和一般的连续增益故障模型,利用LMIs方法在不附带保守性的情况下,给出了可靠控制存在的条件·在执行器故障的情况下,保证一个可接受的方差上界,同时优化无故障情况下系统的性能·仿真例子说明了本文设计方法的有效性,进一步比较正常控制与可靠控制的效果,说明了本文提出方法的必要性·

Reliable Control with Variance Constraints for Linear Uncertain Systems

The design of state feedback reliable control of linear uncertain system is studied. The reliable control guarantees the closed-loop poles within a specified area and steady-state variances. A more practical and common actuator fault model than outage is adopted. Using LMIs approach, the existence conditions of such reliable controller are derived without introducing additional conservativeness. A acceptable variances upper bound is guaranteed in case of the actuator faults, and the performance index is optimized in the normal case. An example is given to illustrate the proposed design procedures. Simulation results show the effectiveness of the design method. Furthermore, the normal controller and the reliable controller are compared to show the necessity of reliable control.