增量预测控制策略的稳定性分析  

Stability Analysis of Incremental Predictive Control Scheme

作　　者：郑凯华[1] 何德峰[1] 鲍荣[1] 

机构地区：[1]浙江工业大学信息工程学院,杭州310023

出　　处：《化工自动化及仪表》2012年第11期1414-1417,1441,共5页Control and Instruments in Chemical Industry

基　　金：国家自然科学基金资助项目(60904040);高校博士点基金资助项目(20093317120002);浙江省重大科技专项基金资助项目(2011C16040)

摘　　要：针对开环稳定的约束线性系统,提出一种增量预测控制策略的稳定性分析方法。利用Lipschitz务件、弱能控性和稳态问题强对偶性假设,将二次型性能指标变换为新性能指标,建立闭环系统的Lyapunov函数,从而得到增量预测控制策略的闭环稳定性结论。最后,采用数值仿真验证了该方法的有效性。Considering the constrained linear system with open-loop stability,a stability analysis method for incremental predictive control scheme was presented.Through using of Lipschitz condition and weak controllability and strong duality of steady-state problem assumptions,the quadratic performance indexes can be transformed into new performance indexes so as to establish Lyapunov function for the closed-loop system and to have the closed-loop stability of the incremental predictive control scheme concluded.Simulation result proves effectiveness of this method.

关 键 词：模型预测控制 约束线性系统 LIPSCHITZ条件 稳定性分析 数值仿真 

分 类 号：TH862[机械工程—仪器科学与技术]