Title :
Semi-global stabilizability of linear null controllable systems with input nonlinearities
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
fDate :
1/1/1995 12:00:00 AM
Abstract :
An H∞-based Lyapunov proof is provided for a result established by Lin and Saberi (1993): if a linear system is asymptotically null controllable with bounded controls then, when subject to input saturation, it is semi-globally stabilizable by linear state feedback. A new result is that if the system is also detectable then it is semi-global stabilizable by completely linear output feedback. Further, an extension which relaxes the requirements on the input characteristic is obtained
Keywords :
H∞ control; Lyapunov methods; control nonlinearities; controllability; stability; state feedback; H∞-based Lyapunov proof; bounded controls; completely linear output feedback; input nonlinearities; input saturation; linear asymptotically null controllable system; linear state feedback; semi-global stabilizability; Control nonlinearities; Control systems; Hydraulic actuators; Linear feedback control systems; Linear systems; Nonlinear control systems; Open loop systems; Output feedback; Robust stability; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on