Title :
Semi-global stabilizability of linear controllable systems with input nonlinearities
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
fDate :
29 June-1 July 1994
Abstract :
An H∞-based Lyapunov proof is provided for a result recently established by Lin and Saberi (1993): if a linear system is asymptotically controllable with bounded controls then, subject to input saturation, it is semi-globally stabilizable by linear state feedback. A new result is that, if the system is detectable, it is semi-global stabilizable by completely linear output feedback. Further, an extension which relaxes the requirements on the input characteristic is obtained.
Keywords :
Lyapunov methods; control nonlinearities; linear systems; stability; state feedback; H∞-based Lyapunov proof; Semi-global stabilizability; input nonlinearities; input saturation; linear controllable systems; linear output feedback; linear state feedback; Control nonlinearities; Control systems; Eigenvalues and eigenfunctions; Linear feedback control systems; Linear systems; Nonlinear control systems; Open loop systems; Output feedback; Robust stability; State feedback;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.751883