非线性时变系统的自耦PID控制方法

Auto-coupling PID control method for nonlinear time varying systems

中文关键词  非线性时变系统  自耦PID控制  自适应速度因子  鲁棒稳定性

英文关键词  nonlinear time varying systems  auto-coupling PID control  adaptive speed factor  robust stability

中文摘要

      针对一类非线性时变系统的控制问题, 使用了一种基于自耦PID的控制理论方法. 该方法首先将时变不确 定、模型不确定定义为一个扩张状态, 并将非线性时变系统映射为未知线性系统; 然后使用自耦PID控制方法构造 了一个闭环系统; 最后在复频域分析了闭环系统的鲁棒稳定性和抗扰动鲁棒性. 理论分析与仿真结果都表明了本 文控制方法具有良好的动态品质和稳态性能, 在未知复杂系统控制领域具有广泛的应用前景.

英文摘要

      Considering the control problem for a kind of nonlinear time varying systems, a control theory method based on auto-coupling PID was used. Firstly, the time-varying uncertainty and model uncertainty were defined as an extended state, and the nonlinear time varying system was mapped to an unknown linear system. Then a closed-loop system was constructed by using auto-coupling PID control method. Finally the robust stability and anti disturbance robustness of the closed-loop system were analyzed in the complex frequency domain. Theoretical analysis and simulation results show that the proposed control method has good dynamic quality and steady-state performance, and has a wide application prospect in the control field of unknown complex systems.