CAJ | 학술논문

讨论了单个控制器同时镇定一组时滞奇异系统的问题。通过引入Lyapounv-Krasovskii泛函，给出所设计的同时镇定控制器的充分条件，保证了奇异时滞闭环系统的正则、无脉冲、稳定且具有H￥性能。利用基于观测器的状态反馈和状态反馈控制相结合的方法得到闭环时滞奇异系统同时H￥控制的充分条件，明确地给出了输出反馈控制律的表达式。所得控制器可由一组线性矩阵不等式求解得出，避免了矩阵分解。最后，由仿真算例说明该方法的可行性。
토론료단개공제기동시진정일조시체기이계통적문제。통과인입Lyapounv-Krasovskii범함，급출소설계적동시진정공제기적충분조건，보증료기이시체폐배계통적정칙、무맥충、은정차구유H￥성능。이용기우관측기적상태반궤화상태반궤공제상결합적방법득도폐배시체기이계통동시H￥공제적충분조건，명학지급출료수출반궤공제률적표체식。소득공제기가유일조선성구진불등식구해득출，피면료구진분해。최후，유방진산례설명해방법적가행성。
The problem of simultaneously stabilizing a collection of singular time-delay systems witha single controller was considered.By introducing Lyapunov-Krasovskii functional,gave a sufficient condition,which guarantees the singular closed-loop system regular,impulse-free,stable and withH￥performance.The sufficient condition of simultaneousH￥controller sufficient condition was derived via applying the state observer and observer-based state feedback to singular closed-loop systems.An explicit expression of the desired output feedback control law was also given.The obtained criterions were formulated in terms of linear matrix inequalities(LMI) involving no decomposition of system matrices.Finally,a numerical example is provided to demonstrate the feasibility of the proposed method.