梯形区域极点配置静态输出反馈可靠控制

STATIC OUTPUT FEEDBACK RELIABLE CONTROL OF POLE PLACEMENT IN TRAPEZOIDAL AREA

针对线性系统,考虑连续增益故障模型,研究了具有执行器故障的梯形区域极点配置的静态输出反馈可靠控制问题。首先,在执行器无故障的前提下,给出使极点能够配置在梯形区域内的充分条件,进而得出系统的静态输出反馈可靠控制率。然后,基于执行器故障,重新设计静态输出反馈可靠控制器,利用求解线性矩阵不等式的方法,完成静态输出反馈可靠控制器的设计。由此可靠控制器构成的闭环系统,使得当执行器发生故障时,也可使闭环系统的所有极点保持在梯形区域内。最后的数值仿真验证了结果的有效性和可行性。

Taking a linear system and consider the continuous fault model, we proposed problem of a static output feedback reliable control of pole placement with actor faults in trapezoidal area. Firstly, we study the system without any faults .We can get a feedback reliable controller. The poles will in the trapezoidal area and the controller will lose efficacy when the system with actor faults. Furthermore, we use the theory of Lyapunoy to deduce the sufficient condition under the actor faults, which make all the poles still in the same trapezoidal area. A static output feedback reliable controller can be obtained by using linear matrix inequality. A simulation example is given illustrate the feasibility and effectiveness of the results.