一类非线性时变控制系统的部分镇定

Partial Stabilization of a Class of Nonlinear Time Varying Control Systems

研究了一类非线性连续时变控制系统的部分镇定问题.利用Lyapunov部分稳定性理论和M2矩阵的性质,构造出了几个镇定控制器,其中一些控制器仅与系统的部分状态变量有关,所构造的控制器可确保反馈后的闭环系统是部分渐近稳定的,所得结论推广了有关文献中的相应结果.

The partial stabilization problem for a class of nonlinear continuous time-varying control systems is investigated. Several stabilizing controllers are constructed based on the partial stability theory of Lyapunov and the property of M-matrix; and some of these stabilizing controllers are only related to partial state variables. The controllers constructed here are shown to guarantee partial asymptotic stability of the closed-loop systems. Some existed results in other literatures are extended and complemented by our results.