针对一类状态不可测的模糊输入时滞系统,应用平行分布补偿算法(PDC),设计了模糊观测器,提出了基于模糊观测器的输出反馈控制方法,给出了保证模糊时滞系统渐近稳定的新的充分条件。应用广义Lyapunov函数和线性矩阵不等式方法,证明了模糊输入时滞系统的渐近稳定性,同时给出了控制和观测增益矩阵的分离设计算法。仿真结果进一步验证了所提出的方法和条件的有效性。
An output feedback controller and a new stabilization criterion are proposed for a class of fuzzy systems with input delay based on parallel distributed compensation(PDC) algorithm.A fuzzy state observer is designed and the observer-based output feedback controller is proposed.The new sufficient conditions of ensuring the stability of the fuzzy systems is given and proved by using generalized Lyapunov function theory combining with linear matrix inequalities(LMIs).The separate design algorithm is given to solve the control and observer gains.Simulation results demonstrate the effectiveness of the proposed approach and conditions.