Policy Iteration for H infinity Optimal Control of Polynomial Nonlinear Systems via Sum of Squares Programming
文献类型：期刊论文
| 作者 | Zhu, Yuanheng1,2 ; Zhao, Dongbin1,2; Yang, Xiong3; Zhang, Qichao1,2
|
| 刊名 | IEEE TRANSACTIONS ON CYBERNETICS
 |
| 出版日期 | 2018-02-01 |
| 卷号 | 48期号:2页码:500-509 |
| 关键词 | Adaptive Dynamic Programming (Adp) h Infinity Optimal Control Policy Iteration (Pi) Polynomial Nonlinear Systems Sum Of Squares (Sos) |
| DOI | 10.1109/TCYB.2016.2643687 |
| 文献子类 | Article |
| 英文摘要 | Sum of squares (SOS) polynomials have provided a computationally tractable way to deal with inequality constraints appearing in many control problems. It can also act as an approximator in the framework of adaptive dynamic programming. In this paper, an approximate solution to the H infinity optimal control of polynomial nonlinear systems is proposed. Under a given attenuation coefficient, the Hamilton-Jacobi-Isaacs equation is relaxed to an optimization problem with a set of inequalities. After applying the policy iteration technique and constraining inequalities to SOS, the optimization problem is divided into a sequence of feasible semidefinite programming problems. With the converged solution, the attenuation coefficient is further minimized to a lower value. After iterations, approximate solutions to the smallest L-2-gain and the associated H infinity optimal controller are obtained. Four examples are employed to verify the effectiveness of the proposed algorithm. |
| WOS关键词 | STATE-FEEDBACK CONTROL ; DISCRETE-TIME-SYSTEMS ; ALGORITHM ; DYNAMICS ; EQUATION ; UPDATE |
| WOS研究方向 | Automation & Control Systems ; Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000422925700005 |
| 资助机构 | National Natural Science Foundation of China(61603382 ; Early Career Development Award of SKLMCCS ; 61273136 ; 61573353 ; 61533017 ; 61503379) |
| 源URL | [http://ir.ia.ac.cn/handle/173211/21937]  |
| 专题 | 复杂系统管理与控制国家重点实验室_深度强化学习 |
| 作者单位 | 1.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Tianjin Univ, Sch Elect Engn & Automat, Tianjin 300072, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Yuanheng,Zhao, Dongbin,Yang, Xiong,et al. Policy Iteration for H infinity Optimal Control of Polynomial Nonlinear Systems via Sum of Squares Programming[J]. IEEE TRANSACTIONS ON CYBERNETICS,2018,48(2):500-509. |
| APA | Zhu, Yuanheng,Zhao, Dongbin,Yang, Xiong,&Zhang, Qichao.(2018).Policy Iteration for H infinity Optimal Control of Polynomial Nonlinear Systems via Sum of Squares Programming.IEEE TRANSACTIONS ON CYBERNETICS,48(2),500-509. |
| MLA | Zhu, Yuanheng,et al."Policy Iteration for H infinity Optimal Control of Polynomial Nonlinear Systems via Sum of Squares Programming".IEEE TRANSACTIONS ON CYBERNETICS 48.2(2018):500-509. |
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