不确定时滞广义T-S模糊系统的鲁棒镇定

Robust stabilization of uncertain T-S fuzzy descriptor systems with time-delay in state

研究了不确定时滞广义T-S模糊系统的鲁棒镇定问题。基于李亚普诺夫稳定性定理和线性矩阵不等式(LMI)方法,给出了使闭环系统稳定的条件,采用凸优化的方法求解一组线性矩阵不等式可以得到状态反馈控制器的参数。仿真实例验证了本文所提出方法的有效性。

This paper considers the problem of robust stabilization for uncertain Takagi-Sugeno （T-S） fuzzy descriptor system with state delay. Based on the Lyapunov method, the stability criterion of the closedloop systems is derived in terms of linear matrix inequalities （LMI）. The solutions of the LMIs, which can be easily obtained by using efficient convex optimization techniques, provide parameters of the state feedback controller. An illustrative example demonstrates the effectiveness of the designed method.