一般非线性系统的构造性逆系统方法  

Constructive inverse system method for general nonlinear systems

作　　者：吴热冰[1] 李春文[1] 

机构地区：[1]清华大学自动化系控制理论与控制工程研究所,北京100084

出　　处：《控制理论与应用》2003年第3期345-350,共6页Control Theory & Applications

摘　　要：针对由于逆系统方法之求逆算法中求解隐函数方程的困难,通过消元法避开对隐函数方法的求解,提出了一般非线性多变量系统的构造性求逆算法。在此基础上讨论对逆系统方法的相应改进,通过动态补偿进一步提出了构造性逆系统方法。这种改进使得逆系统方法原则上可以构造性地适用于任意足够光滑的非线性系统。The unsolvability of implicit equations existing in the inversion algorithm in the inverse system method (ISM) is considered, and a constructive inversion algorithm is presented for general nonlinear systems so as to avoid solving implicit equations via elimination method. Based on the algorithm, the corresponding modification of ISM is discussed, and the constructive ISM is proposed through dynamical compensation. These improvements enable ISM to be constructively applicable in principle to arbitrary nonlinear system that is smooth enough.

关 键 词：非线性系统 逆系统理论 构造性逆系统方法 隐函数方程 多变量系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]