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| 约束Sontag型控制器的滚动优化设计 | |
| 引用本文： | 杨国诗,何德峰,季海波.约束Sontag型控制器的滚动优化设计[J].中国科学技术大学学报,2010,40(2). |
| 作者姓名： | 杨国诗 何德峰 季海波 |
| 作者单位： | 1. 淮南师范学院计算机与信息工程系,安徽淮南,232038;中国科学技术大学自动化系,安徽合肥,230027 2. 浙江工业大学信息工程学院,浙江杭州,310023 3. 中国科学技术大学自动化系,安徽合肥,230027 |
| 基金项目： | 国家自然科学基金，安徽高等学校自然科学基金 |
| 摘 要： | 考虑状态和输入受约束的非线性仿射系统,提出了Sontag型控制器的优化设计.首先把标准Sontag公式转变为一时变控制,其中时变参数近似闭环系统的衰减率;其次,结合滚动时域控制原理,设计了两种满足系统约束的最优Sontag型控制算法,并证明约束闭环系统的区间渐近稳定性.最后,与标准Sontag型控制的对比仿真验证了本文控制算法的有效性. |
| 关 键 词： | 约束控制 Sontag型控制 滚动时域控制 弱控制Lyapunov函数 区域渐近稳定 |
Receding optimal design of constrained Sontag-type controllers |
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| YANG Guoshi,HE Defeng,JI Haibo.Receding optimal design of constrained Sontag-type controllers[J].Journal of University of Science and Technology of China,2010,40(2). | |
| Authors: | YANG Guoshi HE Defeng JI Haibo |
| Institution: | YANG Guoshi1,3,HE Defeng2,JI Haibo3(1.Department of Computer & Information Engineering,Huainan Normal University,Huainan 232038,China,2.School of Information Engineering,Zhejiang University of Technology,Hangzhou 310023,3.Department of Automation,University of Science , Technology of China,Hefei 230027,China) |
| Abstract: | The optimal design of Sontag-type controllers was proposed for nonlinear control-affine systems subject to constraints of the state and input.Firstly,the standard Sontag formula was modified as a time-varying controller where the time-varying parameter was close to the decay rate of the closed-loop system.Secondly,two algorithms of optimal Sontag-type controller were designed by combining the principle of receding horizon control,which were guaranteed to satisfy the system constraints.The regional asymptoti... |
| Keywords: | constrained control Sontag-type control receding horizon control weak control Lyapunov functions regional asymptotic stability |
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