基于功率塑造的控制方法及其在两个物理系统中的应用

摘要

Purposes—To apply the well‐known power shaping technique to a nonlinear circuit and an isothermic CSTR system and to prove that a dynamic controller design method is more applicable than a static one .Methods—The power shaping method is used to design controllers and their stability is analyzed through Lyapunov functions .Results—The resulting control laws are simple linear time in‐variant controllers that ensure asymptotic stability of the desired equilibrium point .Conclusion—The power shaping method is successfully applied to the stabilization of two physical systems and the con‐clusion is obtained that dynamic power shaping is more applicable .%目的：将著名的功率塑造控制方法应用到一个非线性电路和一个恒温连续搅动水箱式反应堆系统，并证明动态控制器设计方法比静态控制器设计方法适用范围更广。方法用功率塑造方法来设计控制器并用李雅普诺夫函数分析稳定性。结果得出的控制率为简单的线性时不变控制器，该控制器能够保证系统在理想的平衡点处渐进稳定。结论成功地将功率塑造控制方法应用到两个物理系统中并得到了动态功率塑造比静态功率塑造适用范围更广的结论。