基于滚动优化原理的不确定离散系统非脆弱控制  

Non-fragile Control for Uncertain Discrete-time System Based on Receding Horizon Principle

作　　者：高振斌[1] 

机构地区：[1]西安财经学院统计学院,陕西西安710100

出　　处：《控制工程》2013年第S1期150-154,共5页Control Engineering of China

基　　金：国家自然科学基金资助项目(60874033);高等学校博士学科点专项基金资助项目(20116118110008);陕西省教育厅专项科研计划资助项目(12JK0548)

摘　　要：针对用多胞型模型表示的不确定离散系统,研究了具有控制约束的非脆弱H∞状态反馈控制。根据H∞控制理论的有界实引理,得到了控制器增益具有加性扰动(扰动满足多胞型不确定模型)的状态反馈控制器;采用线性矩阵不等式技术,获得系统具有控制约束的非脆弱H∞控制器的最优解;融合滚动优化原理,实现了系统状态反馈实时控制;采用一阶倒立摆模型进行仿真,结果表明该算法有效、可行。The non-fragile H∞ state feedback control with the control constraint is studied for the polytopic discrete-time system.In term of Bound Real Lemma of H∞ control theory,the state feedback controller is given which has the additive perturbation with polytope;Using Linear Matrix Inequality technique,the optimal solution of non-fragile H∞ controller with the control constraint is obtained.Receding Horizon Principle is fused to finish the real-time control with state feedback;The first order pendulum is selected for the simulation,it shows that the presented method is feasible and effective.

关 键 词：不确定 H∞控制 非脆弱 状态反馈 倒立摆 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]