不确定T—S模糊系统约束H∞预测控制  

Constrained H∞Model Predictive Control for Uncertain T-S Fuzzy System

作　　者：徐莉[1] 刘飞[1] 

机构地区：[1]轻工过程先进控制教育部重点实验室江南大学自动化研究所,江苏无锡214122

出　　处：《科技通报》2011年第5期711-715,共5页Bulletin of Science and Technology

基　　金：国家自然科学基金项目(NSFC:60974001);江苏省"六大人才高峰"资助项目

摘　　要：针对一类具有时域硬约束的离散不确定非线性系统,结合预测控制的滚动优化原理提出了一种H∞预测控制方法。首先,采用T-S模糊模型来逼近实际非线性系统,运用平行分布补偿(PDC)原理将该系统转化为一系列线性系统的凸组合。其次,基于线性矩阵不等式(LMI)的方法优化一个同时考虑系统控制要求和H∞干扰抑制能力的多目标性能指标函数上界。在此基础上给出保证闭环系统Lyapunov渐近稳定和满足时域硬约束的充分条件,同时得到状态反馈控制律。最后,通过仿真实例验证所提控制器设计方法具有满意的控制效果。Aiming at a class of discrete-time nonlinear systems with hard time constraints and norm bounded uncertainties,a novel H∞ fuzzy predictive control method is proposed via receding horizon approach. Firstly,the approximation of a practical nonlinear system is realized by utilizing the T-S fuzzy model and the closed-loop system is further converted into convex combinations of a series of linear subsystems by parallel distributed compensation （PDC） scheme. Secondly,a cost function with multiple objective performances including control behaviour and H∞ disturbance attenuation level is optimized by means of linear matrix inequalities （LMIs）. The Lyapunov asymptotical stability is fulfilled with hard constraints by using state feedback control law. Finally,a numerical example is given to verify the satisfactory effect of the proposed controller design method.

关 键 词：控制理论 时域硬约束 滚动优化 H∞性能 不确定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]