Adaptive H∞control of polynomial Hamiltonian systems via symbolic computation:controller parameterisation
作者机构：School of Physics and Electronic EngineeringGuangzhou UniversityGuangzhou510006People’s Republic of China Mathematical Educational Software of Engineering Technology Research Center of Guangdong ProvinceGuangzhou510006People’s Republic of China School of Automation EngineeringUniversity of Electronic Science and Technology of ChinaChengduPeople’s Republic of China Lab CenterGuangzhou UniversityGuangzhouPeople’s Republic of China
出 版 物：《Journal of Control and Decision》 (控制与决策学报（英文）)
年 卷 期：2020年第7卷第2期
页 面：160-177页
核心收录：
学科分类：0820[工学-石油与天然气工程] 0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 07[理学] 0839[工学-网络空间安全] 0802[工学-机械工程] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）]
基 金：This work was supported by National Natural Science Foundation of China NSFCGD project[U1201252] National High-tech R&D Program(863 Program)[2015AA015408] Guangzhou Education Scientific Research Project。
主 题：Symbolic computation polynomial Hamiltonian systems(PHSs) tuning parameters adaptive H∞control
摘 要：This paper deals with controller parameterisation method of adaptive H∞control for polynomial Hamiltonian systems(PHSs)with disturbances and unknown parameters.We design a simplified controller with a set of tuning parameters which can guarantee that the systems are adaptive H∞stable by using Hamiltonian function method.Then,a method for solving the set of tuning parameters of the controller with symbolic computation is presented.The proposed parameterisation method avoids solving Hamilton–Jacobi–Issacs(HJI)equations and the obtained controller is easier as compared to some existing ones.Simulation example shows that the controller is effective as it can optimise adaptive H∞control by adjusting tuning parameters.All these results are expected to be of use in the study of adaptive H∞control for nonlinear systems with disturbances and unknown parameters.
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