Title :
Backstepping Stabilization for Cascade Infinite-dimensional Systems
Author_Institution :
Dalian Maritime Univ.
Abstract :
In this paper we deal with stabilization problem for infinite-dimensional control systems. After a review of Lyapunov stability theory of infinite-dimensional system, this paper introduces some basic backstepping design method for several infinite-dimensional systems. The purpose of this paper is to generalize the backstepping design theory on finite-dimensional systems to the infinite-dimensional systems which determined by semigroups of operator on Hilbert space
Keywords :
Hilbert spaces; Lyapunov methods; multidimensional systems; stability; Hilbert spaces; Lyapunov stability; backstepping design theory; backstepping stabilization; cascade infinite-dimensional system; finite-dimensional system; infinite-dimensional control system; Backstepping; Books; Concrete; Control systems; Design methodology; Equations; Hilbert space; Lyapunov method; Stability; State-space methods; Backstepping; Infinite-dimensional system; Lyapunov functional; Operator; Stabilization; stability;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712571
