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一类不确定系统基于滑模干扰补偿的广义预测控制
引用本文:程路,姜长生,都延丽,蒲明.一类不确定系统基于滑模干扰补偿的广义预测控制[J].控制理论与应用,2010,27(2):175-180.
作者姓名:程路  姜长生  都延丽  蒲明
作者单位:南京航空航天大学自动化学院,江苏,南京,210016
基金项目:国家自然科学基金重大研究计划资助项目(90716028); 南京航空航天大学博士学位论文创新与创优基金资助项目(BCXJ09–05); 江苏省普通高校研究生科研创新计划(CX09B-082Z).
摘    要:广义预测控制(GPC)是基于非线性机理模型的一种优化控制策略, 但当系统存在内部不确定性、建模动态误差和外部干扰的情况下, 采用基于标称系统模型的GPC方法的系统性能将显著下降. 为此, 针对一类不确定非线性系统, 首先分析设计了一种基于不确定模型的理想GPC控制律; 同时设计了一种滑模干扰补偿器(SMDC)对系统的复合干扰进行估计, 将其输出作为补偿控制与标称GPC控制律结合以消除不确定性和外干扰的影响, 并利用Lyapunov理论分析了闭环复合系统的性能; 最后将其应用于一种高超声速飞行器(HSV)姿态控制系统, 仿真结果表明该方法具有很好的鲁棒特性和干扰衰减特性.

关 键 词:非线性不确定系统    广义预测控制    滑模干扰补偿器    非线性鲁棒控制
收稿时间:2009/6/18 0:00:00
修稿时间:2009/11/2 0:00:00

The sliding mode disturbance compensated GPC method for a class of uncertain systems
CHENG Lu,JIANG Chang-sheng,DU Yan-li and PU Ming.The sliding mode disturbance compensated GPC method for a class of uncertain systems[J].Control Theory & Applications,2010,27(2):175-180.
Authors:CHENG Lu  JIANG Chang-sheng  DU Yan-li and PU Ming
Affiliation:College of Automation Engineering, Nanjing University of Aeronautics and Astronautics,College of Automation Engineering, Nanjing University of Aeronautics and Astronautics,College of Automation Engineering, Nanjing University of Aeronautics and Astronautics,College of Automation Engineering, Nanjing University of Aeronautics and Astronautics
Abstract:The generalized predictive control(GPC) method is an optimal control strategy which is based on the mechanism model. However, if the system has internal uncertainty, model error and external disturbance, the performance of the system which is controlled by the GPC method based on the nominal model will be degraded. Therefore, to deal with the uncertain nonlinear systems, we first design the ideal GPC law based on uncertain model, and then, we develop a slidingmode disturbance compensator(SMDC) to estimate the hybrid disturbance, its outputs are integrated with the nominal GPC law to compensate the uncertainty. The Lyapunov theory is used to analyze the stability of the compound closed-loop system. This strategy was applied to the design of a hypersonic vehicle attitude control system, and the simulation result indicates an excellent robust performance and desirable disturbance attenuation.
Keywords:nonlinear uncertain system  generalized predictive control  sliding mode disturbance compensator  nonlinear robust control
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