摘要
针对有执行器故障的连续时间线性时不变控制系统,结合自适应控制方法和线性矩阵不等式(LMI)技术研究系统的容错H∞控制问题.利用LMI得到一个定常控制增益并同时优化系统干扰抑制性能(H∞性能).在定常控制增益基础上加上自适应控制方程得到完整的状态反馈控制器,使得系统在执行器故障下稳定,并通过李亚普诺夫第二稳定性定理,证明所提出的自适应容错控制系统比定常增益容错控制系统具有更为优越的干扰抑制性能.最后给出一个数值例子来验证该方法的有效性和优越性.
A fault-tolerant H∞ control problem of continuous-time linear invariant control systems is studied via combining an adaptive control method and linear matrix inequalities（LMIs） technique.A fixed control gain is obtained by an LMI and the disturbance attenuation performances（H∞ performances） of systems are simultaneously optimized.Adding an adaptive term in the framework of the fixed control gain,an integrated controller structure is proposed to stabilize the system in the presence of actuator faults.Based on Lyapunov stability theory,it could be proved that the closed system with the proposed controller has a better disturbance attenuation performance than the system with the fixed controller.Finally,a numerical example is given to demonstrate the effectiveness of the proposed method.
出处
《沈阳大学学报（自然科学版）》
CAS
2012年第5期58-61,共4页
Journal of Shenyang University：Natural Science
基金
国家自然科学基金资助项目(61104029)
关键词
容错控制
状态反馈
H∞控制
自适应控制
fault-tolerant control
state feedback
H∞ control
adaptive control
