摘要
针对控制系统中的时滞会导致系统的不稳定和较差的系统性能,研究了时滞T-S模糊广义系统的鲁棒稳定性问题、鲁棒镇定性问题以及基于状态反馈的鲁棒H∞控制问题,给出了时滞T-S模糊广义系统的正则、无脉冲和渐近稳定的定义;依据Lyapunov理论,证明了使闭环系统渐近稳定并且具有适当的H∞性能指标的充分条件,用线性矩阵不等式方法,表示了这些充分条件,从而可以通过解矩阵不等式容易地获得状态反馈增益矩阵。算例说明所提方法有效和可行。
For the peculiarity of causing the instability and poor performance by time - delay in control system, the problems of robust stability, robust stabilization and robust H∞ control are studied for T - S fuzzy descriptor system with time - delay in this paper. The regularity, impulse - free and asymptotic stability for the system are defined respectively. According to the theory of Lyapunov, the sufficient conditions, which maintain the stability of the closed - loop system and satisfy the H∞- performance, are proved. These conditions are expressed via linear matrix inequalities (LMIs). So the feedback gain matrix can be obtained easily by solving the LMIs. The effectiveness and feasibility are verified by an example.
出处
《电机与控制学报》
EI
CSCD
北大核心
2005年第4期352-356,共5页
Electric Machines and Control
基金
辽宁省普通高校学科带头人基金资助项目(124210)
