Title :
Robust stabilization of linear continuous-time parameter-varying systems without quadratic stability
Author :
Sehr, Martin A. ; Pandey, Amit P. ; de Oliveira, Mauricio C.
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Univ. of California San Diego, La Jolla, CA, USA
Abstract :
In this paper we show how to design robust and gain-scheduled controllers for linear continuous-time parameter-varying systems without quadratic stability. Parameter-independent Lyapunov functions are constructed, of which quadratic stability is a particular case. Examples illustrate the application of the resulting stabilization conditions, which are Linear Matrix Inequalities with a set of tuning parameters.
Keywords :
Lyapunov methods; continuous time systems; control system synthesis; linear matrix inequalities; linear parameter varying systems; robust control; scheduling; gain-scheduled controllers; linear continuous-time parameter-varying systems; linear matrix inequalities; parameter-independent Lyapunov functions; robust stabilization design; tuning parameters; Asymptotic stability; Linear matrix inequalities; Lyapunov methods; Robustness; Stability analysis; Symmetric matrices; Time-varying systems;
Conference_Titel :
American Control Conference (ACC), 2015
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4799-8685-9
DOI :
10.1109/ACC.2015.7170720
