A general formulation and solvability of the global robust output regulation problem
A general formulation and solvability of the global robust output regulation problem
复制标题
DOI：
10.1109/cdc.2003.1272710
复制
发表时间：
2003-12
期刊：
影响因子：
--
通讯作者：
Zhiyong Chen;Jie Huang
中科院分区：
文献类型：
--
作者：
Zhiyong Chen;Jie Huang
虽然线性系统的输出调节问题适应有界和无界外源信号，但非线性系统输出调节问题的现有公式仅允许由具有神经稳定平衡的外系统产生的有界外源信号。特别是，当涉及鲁棒输出调节问题时，唯一可接受的外源信号是阶跃函数和正弦函数的有限组合。在本文中，我们将给出鲁棒输出调节问题的一般表述，该问题允许无界外源信号，并包含先前的表述作为系统线性或外源信号有界时的特殊情况。然后我们将给出将问题转化为增强系统的鲁棒稳定性问题的条件。最后，我们将提出下三角非线性系统的一般鲁棒输出调节问题的可解性条件。
While the output regulation problem for linear systems accommodates both bounded and unbounded exogenous signals, the existing formulation of the output regulation problem for nonlinear systems only allows bounded exogenous signals produced by an exosystem with a neurally stable equilibrium. In particular, when it comes to the robust output regulation problem, the only admissible exogenous signal is a finite combination of step and sinusoidal functions. In this paper, we will give a general formulation of the robust output regulation problem that admits unbounded exogenous signals, and contains the previous formulations as special cases when the system is linear or when the exogenous signals are bounded. Then we will give conditions under which the problem can be converted into a robust stabilization problem of an augmented system. Finally, we will present the solvability conditions of the general robust output regulation problem for the class of lower triangular nonlinear systems.