不确定T-S模糊广义系统基于观测器的无源控制

Observer-based Passive Control for Uncertain T-S Fuzzy Descriptor Systems

针对一类范数有界不确定性T-S模糊广义系统,研究了其在满足不确定性的基于观测器的无源控制器的设计问题.在状态不可测的情况下给出了使得闭环系统广义二次稳定且无源的基于观测器的控制器存在的充分条件和设计方法。通过求解若干线性矩阵不等式,获得系统的观测增益与控制增益.最后通过数值仿真例子,说明所提出的设计方法可行、有效。

As for a class of T-S fuzzy descriptor systems with norm-bounded uncertainties, the design problem of observer-based passive fuzzy controller was studied. Sufficient conditions for the existence of observer-based controller and the design methods, which make the T-S fuzzy descriptor systems to be generalized quadratically stable and passive, were derived in terms of LMI if the state variables of the system are not available. By solving some linear matrix inequality, the control gain and observer gain was designed. Finally, two illustrative examples were given to show the validity and feasibility of the proposed approach.