仿射非线性系统的跟踪控制  

Tracking Control of Affine Nonlinear Systems

作　　者：袁赣南[1] 左志丹[1] 黄攀[1] 

机构地区：[1]哈尔滨工程大学自动化学院,黑龙江哈尔滨150001

出　　处：《信息与控制》2013年第2期162-167,共6页Information and Control

摘　　要：针对仿射非线性系统的输出跟踪问题提出了一个新的控制器设计方法.通过构造跟踪误差的高阶常微分方程,使得该常微分方程对应的特征方程的根具有负实部,从而实现跟踪误差渐近收敛于0,使得系统具有期望的动态性能.通过该微分方程可以解决仿射非线性系统的跟踪控制问题.根据李亚普诺夫稳定性理论,证明了该算法在外界干扰满足一定条件时的鲁棒性.仿真结果验证了该算法的正确性和鲁棒性.For the output tracking issue of affine nonlinear systems, a novel controller design method is proposed. High order ordinary differential equations for tracking errors are constructed. Therefore the characteristic equations corresponding to the ordinary differential equations have negative real part roots to ensure that tracking errors can converge to zero asymp- totically and the system has desired dynamic performance. The tracking control of affine nonlinear systems can be solved by the differential equations. The robustness of the algorithm can be proved according to Lyapunov stability theory when the outside disturbance satisfies some certain conditions. Simulation results verify the correctness and robustness of the proposed algorithm.

关 键 词：仿射非线性系统 跟踪控制 鲁棒性 李亚普诺夫稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]