Title :
Nonlinear versus linear control in the direct output feedback stabilization of linear systems
Author :
Petersen, Ian R.
Author_Institution :
Australian National University, Canberra, Australia
fDate :
8/1/1985 12:00:00 AM
Abstract :
This paper investigates the use of nonlinear direct output feedback in the control of linear time-invariant systems. Inparticular, it is concerned with those nonlinear controllers which result in a closed loop system which is quadratically stable. That is, the closed loop nonlinear system is asymptotically stable and furthermore, a quadratic Lyapunov function can be used to establish this stability. The main result of this paper can be stated roughly as follows: Any linear system which can be made quadratically stable using nonlinear direct output feedback control can also be stabilized using linear direct output feedback control.
Keywords :
Output feedback, linear systems; Output feedback, nonlinear systems; Stability, linear systems; Adaptive control; Automatic control; Control systems; Frequency; Linear feedback control systems; Linear systems; Nonlinear control systems; Nonlinear dynamical systems; Output feedback; Programmable control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1104037