CAJ | 학술논문

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.
침대유집행기고장적련속시간선성시불변공제계통,결합자괄응공제방법화선성구진불등식（LMI）기술연구계통적용착H∞공제문제.이용LMI득도일개정상공제증익병동시우화계통간우억제성능（H∞성능）.재정상공제증익기출상가상자괄응공제방정득도완정적상태반궤공제기,사득계통재집행기고장하은정,병통과리아보낙부제이은정성정리,증명소제출적자괄응용착공제계통비정상증익용착공제계통구유경위우월적간우억제성능.최후급출일개수치례자래험증해방법적유효성화우월성.
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.