A Direct-Integrating Solution for State Equation of Nonlinear Control Systems

摘要：

The kernel of nonlinear system analysis is the solving of system state equation. 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 (ttk). Then the series solution of the nonlinear control state equation, for which the solution is expression in (t - tk) series, can be obtained by direct-integrating approach. Finally, the convergence of the solution is proved.

关键词： Nonlinear control system state equation direct-integrating Taylor series

作者: Shaozhong Cao

作者单位: School of Information & Mechanical Engineering Beijing Institute of Graphic Communication Beijing 102600,China

会议类型: 国际会议

会议名称: 2010 International Conference on Measurement and Control Engineering(2010年IEEE测量与控制工程国际会议 ICMCE2010)

会议地点: 成都

会议语种:英文

页码: 20-24

在线出版日期: 2010-11-16（万方平台首次上网日期，不代表论文的发表时间）