针对一类多输入离散非线性系统给出了基于模糊双线性T-S模型的参数化新模型,用并行分布补偿算法(PDC)设计模糊控制器,以线性矩阵不等式(LM I)的形式给出系统H∞全局稳定的充分条件,并通过求解一系列线性矩阵不等式(LM I)给出控制器增益的设计方法,最后,通过仿真例子验证这个方法的有效性和可行性。
This paper presents a novel model based on bilinear T-S model for a class of discrete-time nonlinear systems with multiple inputs.A robust H∞ control approach is given for multiple inputs T-S discrete fuzzy bilinear model(DFBM) with parameters uncertainties and disturbances.The parallel distributed compensation(PDC) method is utilized to design a fuzzy controller,the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities(LMI) and the gain of controller is obtained by solving a set of linear matrix inequalities(LMI).Finally,the validity and applicability of the proposed schemes are demonstrated by a numerical simulation.