| 不确定系统的稳定广义预测控制 |
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| 引用本文： | 李印坤,刘晓华.不确定系统的稳定广义预测控制[J].控制工程,2009,16(4). |
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| 作者姓名： | 李印坤 刘晓华 |
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| 作者单位： | 鲁东大学,数学与信息学院,山东,烟台,264025 |
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| 摘 要： | 针对一类有界不确定线性离散被控对象,采用Min-Max优化方法,提出一种新的稳定广义预测控制(MMSGPC)算法.引入内模控制结构,将干扰和不确定性从被控对象中分离出来,并利用局部反环节对其进行补偿;采用Min-Max优化方法,将终端约束条件转化为有界不确定性最差情况时应的线性方程;通过引入矩阵的Moore-Penrose逆,得到了终端约束线性方程的通解,并结合性能指标函数求得了最优控制律.通过仿真实例验证了该方法的稳定效果.
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| 关 键 词： | 稳定广义预测控制 内模控制 有界不确定性 Min-Max优化 Moore-Penrose逆 |
Stable Generalized Predictive Control for Systems with Uncertainties |
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| LI Yin-kun,LIU Xiao-hua.Stable Generalized Predictive Control for Systems with Uncertainties[J].Control Engineering of China,2009,16(4). |
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| Authors: | LI Yin-kun LIU Xiao-hua |
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| Affiliation: | School of Mathematics and Information;Ludong University;Yantai 264025;China |
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| Abstract: | A stable generalized predictive control algorithm is presented by using Min-Max optimization.Based on the internal model control structure,the disturbances and uncertainties are separated from the system.The linear equations of terminal constraints are obtained by Min-Max optimization.The solution of the linear equations is presented using Moore-Penrose inverse and the control law is obtained.The simulation result shows that the proposed method has a good stability. |
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| Keywords: | stable generalized predictive control intemal model control bounded data uncertainties Min-Max optimization Moore-Penrose inverse |
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