CAJ | 학술논문

研究了一类参数不确定线性Delta算子切换系统的鲁棒H∞滤波器设计问题。提出利用多Lyapunov函数和平均驻留时间方法，以线性矩阵不等式的形式给出了参数不确定Delta算子滤波误差切换系统指数稳定性条件，并进行了H∞性能分析，从而进一步给出Delta算子切换系统鲁棒H∞滤波器存在的充分条件和设计方法。所设计的滤波器不但保证系统参数不确定时闭环系统指数稳定，而且满足所期望的H∞性能指标。仿真结果证明了设计方法的有效性和可行性。
연구료일류삼수불학정선성Delta산자절환계통적로봉H∞려파기설계문제。제출이용다Lyapunov함수화평균주류시간방법，이선성구진불등식적형식급출료삼수불학정Delta산자려파오차절환계통지수은정성조건，병진행료H∞성능분석，종이진일보급출Delta산자절환계통로봉H∞려파기존재적충분조건화설계방법。소설계적려파기불단보증계통삼수불학정시폐배계통지수은정，이차만족소기망적H∞성능지표。방진결과증명료설계방법적유효성화가행성。
Robust H∞filter for a class of parameter uncertain switched systems using Delta operator has been discussed. Based on multiple Lyapunov function theory and average dwell time, a sufficient condition for the existence of stability of the parameter uncertain Delta operator switched system is presented in terms of LMI, and the H∞filter performance is analyzed. Furthermore, the sufficient existence conditions and designing method of robust H∞filter are proposed. The designed robust H∞filter not only guarantees the closed-loop system with uncertain parameter to be asymptotically stable, but also satisfies H∞performance that expected. A simulation example is given to illustrate the effectiveness and feasibility of the proposed method.