Title :
On the computation of the induced ℒ2 norm of single input linear systems with saturation
Author_Institution :
Dept. of Eng., Cambridge Univ., UK
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, and a worked first order example is presented
Keywords :
closed loop systems; input-output stability; linear systems; state feedback; state-space methods; candidate function; differential inequalities; existence; induced ℒ2 norm; linear controllers; single input linear systems; upper bound; Closed loop systems; H infinity control; Linear systems; Observability; State feedback; Terminology; Testing;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411247
