CAJ | 학술논문

针对一类不确定性不满足匹配条件的具有时滞依赖不确定线性系统,研究了鲁棒H∞控制器的设计问题.基于线性矩阵不等式方法,通过构造合适的Lyapunov函数,给出了鲁棒H∞状态反馈控制器存在的充分条件,并通过求解相应的线性矩阵不等式完成了控制器的设计.仿真结果表明,所设计的控制器对所有容许的不确定性不仅使闭环系统渐近稳定,又能保证闭环系统满足一定的H∞性能指标,具有较好的抑制扰动的效果.
침대일류불학정성불만족필배조건적구유시체의뢰불학정선성계통,연구료로봉H∞공제기적설계문제.기우선성구진불등식방법,통과구조합괄적Lyapunov함수,급출료로봉H∞상태반궤공제기존재적충분조건,병통과구해상응적선성구진불등식완성료공제기적설계.방진결과표명,소설계적공제기대소유용허적불학정성불부사폐배계통점근은정,우능보증폐배계통만족일정적H∞성능지표,구유교호적억제우동적효과.
For a class of dependent time-delay linear systems with uncertainties which do not meet the matching conditions,the robust H∞ controller design problem is considered.Based on linear matrix inequality approach,the sufficient condition of robust H∞ controller is put forward by constructing Lyapunov function,and the robust H∞ controllers can be obtained by solving the corresponding linear matrix inequities.Simulation results show that this approach is able to make the closed-loop systems asymptotically stable for all admissible uncertainties,as well as satisfying H∞ properties to achieve disturbance attenuation.