| Policy Iteration for H infinity Optimal Control of Polynomial Nonlinear Systems via Sum of Squares Programming | |
Zhu, Yuanheng1,2 ; Zhao, Dongbin1,2; Yang, Xiong3; Zhang, Qichao1,2
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| Source Publication | IEEE TRANSACTIONS ON CYBERNETICS
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| 2018-02-01 | |
| Volume | 48Issue:2Pages:500-509 |
| Subtype | Article |
| Abstract | 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. |
| Keyword | Adaptive Dynamic Programming (Adp) h Infinity Optimal Control Policy Iteration (Pi) Polynomial Nonlinear Systems Sum Of Squares (Sos) |
| WOS Headings | Science & Technology ; Technology |
| DOI | 10.1109/TCYB.2016.2643687 |
| WOS Keyword | STATE-FEEDBACK CONTROL ; DISCRETE-TIME-SYSTEMS ; ALGORITHM ; DYNAMICS ; EQUATION ; UPDATE |
| Indexed By | SCI |
| Language | 英语 |
| Funding Organization | National Natural Science Foundation of China(61603382 ; Early Career Development Award of SKLMCCS ; 61273136 ; 61573353 ; 61533017 ; 61503379) |
| WOS Research Area | Automation & Control Systems ; Computer Science |
| WOS Subject | Automation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics |
| WOS ID | WOS:000422925700005 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.ia.ac.cn/handle/173211/21937 |
| Collection | 复杂系统管理与控制国家重点实验室_深度强化学习 |
| Affiliation | 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 |
| First Author Affilication | Institute of Automation, Chinese Academy of Sciences |
| Recommended Citation 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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