Title :
On the computation of the induced L2 norm of single-input linear systems with saturation
Author_Institution :
McGill Univ., Montreal, Que., Canada
fDate :
2/1/1998 12:00:00 AM
Abstract :
In this paper, a means of determining an upper bound of the induced L2 norm for a class of single-input linear systems with saturation is given in terms of the existence of a candidate function which satisfies three differential inequalities. A technique to calculate such a function for systems with linear controllers is also developed
Keywords :
H∞ control; closed loop systems; controllability; nonlinear control systems; observability; stability; H∞ control; closed loop systems; controllability; finite gain stability; induced L2 norm; nonlinear systems; observability; saturating systems; single-input linear systems; upper bound; Adaptive control; Automatic control; Backstepping; Control systems; Linear systems; Lyapunov method; Robust control; State feedback; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
