基于观测器的2D T-S模糊离散系统H_∞输出跟踪控制

H_∞ Output Tracking Control for Discrete-time 2-D T-S Fuzzy Systems

针对一类Roesser型二维(2-D)离散非线性系统,提出了基于观测器的H∞输出跟踪控制设计方案.首先采用2-D T-S模糊模型来描述系统,并通过构建虚拟参考模型(VRM)设计了虚拟参考变量(VRVs),接着基于虚拟参考模型(VRM)和模糊观测器,利用Lyapunov泛函,提出了H∞输出跟踪控制设计新方案,然后数值求解一组的线性矩阵不等式问题(LMIPs),进而获取了保证系统控制性能的控制器和观察器增益.最后,通过仿真验证此方法的有效性.

This paper proposes a H∞ output tracking control for a class of Roesser type discrete-time nonlinear 2-D systems with disturbances.Firstly,a 2-D T-S fuzzy model represents the nonlinear system; and then based on virtual reference model （VRM）,a set of virtual reference variables （VRVs） is designed.Secondly,we combine virtual reference model （VRM）,fuzzy observer and Lyapunov theorem to develop a H∞ output tracking controller.Thirdly,numerically solving a set of LMIPs,we obtain controller and observer gains with guarantee H∞ control performance.Finally,numerical examples are given to show the effectiveness of the results.