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Policy Iteration for Hinfinity Optimal Control of Polynomial Nonlinear Systems via Sum of Squares Programming | |
Yuanheng Zhu![]() ![]() | |
发表期刊 | IEEE Transactions on Cybernetics
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2017 | |
期号 | PP页码:1-9 |
摘要 |
Sum of squares (SOS) polynomials have provided acomputationally tractable way to deal with inequality constraintsappearing in many control problems. It can also act as an approx-imator in the framework of adaptive dynamic programming. Inthis paper, an approximate solution to theH∞optimal control ofpolynomial nonlinear systems is proposed. Under a given attenu-ation coefficient, the Hamilton–Jacobi–Isaacs equation is relaxedto an optimization problem with a set of inequalities. After apply-ing the policy iteration technique and constraining inequalitiesto SOS, the optimization problem is divided into a sequenceof feasible semidefinite programming problems. With the con-verged solution, the attenuation coefficient is further minimizedto a lower value. After iterations, approximate solutions to thesmallestL2-gain and the associatedH∞optimal controller areobtained. Four examples are employed to verify the effectivenessof the proposed algorithm. |
关键词 | Adaptive Dynamic Programming (Adp) H∞ Optimal Control Policy Iteration (Pi) Polynomial Nonlinear Systems Sum Of Squares (Sos) |
收录类别 | SCI |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/15284 |
专题 | 多模态人工智能系统全国重点实验室_深度强化学习 |
作者单位 | 中国科学院自动化研究所 |
第一作者单位 | 中国科学院自动化研究所 |
推荐引用方式 GB/T 7714 | Yuanheng Zhu,Zhao DB. Policy Iteration for Hinfinity Optimal Control of Polynomial Nonlinear Systems via Sum of Squares Programming[J]. IEEE Transactions on Cybernetics,2017(PP):1-9. |
APA | Yuanheng Zhu,&Zhao DB.(2017).Policy Iteration for Hinfinity Optimal Control of Polynomial Nonlinear Systems via Sum of Squares Programming.IEEE Transactions on Cybernetics(PP),1-9. |
MLA | Yuanheng Zhu,et al."Policy Iteration for Hinfinity Optimal Control of Polynomial Nonlinear Systems via Sum of Squares Programming".IEEE Transactions on Cybernetics .PP(2017):1-9. |
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