Title :
Stable inversion for nonlinear discrete-time systems
Author :
Zeng, Guoping ; Hunt, L.R.
Author_Institution :
Dept. of Electr. Eng., Texas Univ., Richardson, TX, USA
fDate :
6/1/2000 12:00:00 AM
Abstract :
We solve the exact output tracking problem for square nonlinear discrete-time systems through stable inversion. This stable inversion problem involves finding a bounded solution of a dynamical system driven by a bounded signal. Such a solution is given by a difference representation formula, whose existence, under the proper assumptions, can be proven using a Picard process
Keywords :
discrete time systems; eigenvalues and eigenfunctions; matrix algebra; nonlinear control systems; stability; Picard process; bounded solution; difference representation formula; exact output tracking problem; square nonlinear discrete-time systems; stable inversion; Aerospace control; Difference equations; Feedback control; Linear systems; NASA; Nonlinear equations; Nonlinear systems; Partial differential equations; Regulators; Trajectory;
Journal_Title :
Automatic Control, IEEE Transactions on