Delta算子系统的鲁棒D稳定可靠控制

研究具有执行器故障的Delta算子线性不确定系统鲁棒D-稳定可靠控制问题,即设计控制器,消除系统不确定性和执行器故障的影响,确保闭环系统极点落在复平面指定圆盘区域内。考虑执行器故障为连续故障模型的情形,利用线性矩阵不等式(linear matrix inequality,LMI)方法,给出Delta算子系统状态反馈鲁棒D-稳定可靠控制器存在的充分条件,并由此提出相应控制器设计方法。利用所得结论,给出Delta算子系统状态反馈鲁棒稳定可靠控制器存在的充分条件。数值算例表明设计方法的可行性和有效性。

Reliable robust D-stabilization control of Delta operator systems with actuator failure

The reliable robust D-stabilization problem of the delta operator formulated linear uncertain systems is studied.The aim is to design a controller which can tolerate plant uncertainty and actuator failure,such that the poles of the closed-loop system are located in some disk on complex plane.The model of actuator failure is assumed to be continuous.A sufficient condition for the existence of reliable robust D-stabilization controllers is derived via the linear matrix inequality(LMI) approach,and a design procedure of such controllers is presented.Furthermore,a sufficient condition for the existence of reliable robust stabilization controllers is deduced.A numerical example is provided to demonstrate the availability of the design method.