Collection Of Nonlinear Systems Research Articles

Simultaneous stabilization for a collection of nonlinear control systems in canonical form

AbstractA controller design method is provided to simultaneously stabilize a collection of nonlinear control systems in canonical form. It is shown that, under a mild assumption, any collection of nonlinear systems in canonical form can be simultaneously stabilized by one continuous state feedback controller. A constructive universal formula is presented explicitly. An illustrative example is given to demonstrate the validity of the method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

Procedure for simultaneously stabilizing a collection of non-linear systems using linear state feedback control

The problem of simultaneously stabilizing a finite collection of non-linear systems is considered. A new and simple approach to designing a single state (linear) feedback control which simultaneously stabilizes this collection of non-linear systems is presented. The concepts of the function norm and the Bellman-Gronwall inequality are used to investigate the conditions for simultaneous stabilization. A design procedure for single state feedback control, is also presented. Several examples are given to demonstrate the validity of our results.