一类具有非线性扰动的多重时滞不确定系统鲁棒预测控制  

Robust Predictive Control for a Class of Multiple Time Delay Uncertain Systems with Nonlinear Disturbance

作　　者：苏成利[1] 赵家程[1] 李平[1] 

机构地区：[1]辽宁石油化工大学信息与控制工程学院,抚顺113001

出　　处：《自动化学报》2013年第5期644-649,共6页Acta Automatica Sinica

基　　金：国家自然科学基金(61203021);辽宁省科技攻关项目(2011216011);辽宁省高校创新团队支持计划项目(2009T062;LT2010058)资助~~

摘　　要：针对一类具有非线性扰动且同时存在多重状态和输入时滞的不确定系统,提出一种鲁棒预测控制器设计方法.基于预测控制滚动优化原理,运用Lyapunov稳定性理论和线性矩阵不等式(Linear matrix inequalities,LMIs)方法,首先近似求解无限时域二次性能指标优化问题,然后优化非线性扰动项所应满足的最大上界,定量地研究鲁棒预测控制在范数有界意义下的扰动抑制问题,并给出了鲁棒预测控制器存在的充分条件.最后通过仿真验证了所提方法的有效性.The design method of robust model predictive controller（RMPC） is proposed for a class of uncertain multiple state and input time-delay systems with nonlinear disturbance.Based on the predictive control principle of receding optimization,the quadratic performance index of the infinite time domain is optimized by means of Lyapunov stable theory and linear matrix inequalities（LMIs） technique.Then the disturbance rejection of the robust model predictive control in the sense of normbounded is studied by optimizing the maximum upper bound met by nonlinear disturbance.Sufficient conditions of the robust predictive controller are given.Finally,simulation results illustrate the effectiveness of the proposed method.

关 键 词：非线性扰动 鲁棒预测控制 线性矩阵不等式 时滞 不确定系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]