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| 非线性控制系统状态方程直接积分解法 | |
| 引用本文： | 曹少中,涂序彦.非线性控制系统状态方程直接积分解法[J].控制与决策,2011,26(10):1591-1595. |
| 作者姓名： | 曹少中 涂序彦 |
| 作者单位： | 1. 北京印刷学院信息与机电工程学院,北京,102600 2. 北京科技大学计算机与通信工程学院,北京,100083 |
| 基金项目： | 北京市自然科学基金项目(4092013,4112019); 北京市教育委员会科技计划重点项目(KZ201110015017) |
| 摘 要： | 鉴于非线性系统分析的核心归结为系统状态方程的求解,针对一般非线性控制系统,引入由状态量、控制量与自变量时间t为坐标构成的＂广义时态空间＂.为了求解非线性状态方程,在广义时态空间（tk,x（k）,u（k））处将方程的右端展开为（t？tk）的Taylor级数,通过直接积分获得了非线性控制系统状态方程关于自变量时间（τ=t？tk）的级数解,并证明了解的收敛性. |
| 关 键 词： | 非线性控制系统 状态方程 直接积分 Taylor级数 |
| 收稿时间： | 2010/7/6 0:00:00 |
| 修稿时间： | 2011/1/25 0:00:00 |
Direct-integrating approach for solving state equation of nonlinear control systems |
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| CAO Shao-zhong,TU Xu-yan.Direct-integrating approach for solving state equation of nonlinear control systems[J].Control and Decision,2011,26(10):1591-1595. |
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| Authors: | CAO Shao-zhong TU Xu-yan |
| Affiliation: | CAO Shao-zhong1,TU Xu-yan2(1.School of Information and Mechanical Engineering,Beijing Institute of Graphic Communication,Beijing 102600,China,2.School of Computer and Communication Engineering,University of Science and Technology Beijing,Beijing 100083,China) |
| Abstract: | The kernel of nonlinear system analysis is the solving of system state equation.Therefore,for a general nonlinear control system,the concept of general time-state space comprising of state variables,control variable,and time t is introduced.In order to solve the state equation of nonlinear control systems,at the operation point(tk,x(k),u(k)) of general time-state space,the right side of the state equation can be expanded as Taylor series about(t ? tk).Then the series solution of the nonlinear control state ... |
| Keywords: | nonlinear control systems state equation direct-integrating Taylor series |
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