Title :
An LPV Control Approach to Asymptotic Rejection of Non-stationary Disturbances with Guaranteed Worst-Case Performance
Author :
Hakan Koroglu;Carsten W. Scherer
Author_Institution :
Delft Center for Systems and Control, Delft University of Technology, Mekelweg 2 2628 CD Delft The Netherlands. Phone: +311527{87171,85899} Fax: +31152786679, E-Mail: h.koroglu@tudelft.nl
fDate :
7/1/2007 12:00:00 AM
Abstract :
A linear parameter-varying controller synthesis procedure is developed for the asymptotic rejection of non-stationary infinite-energy disturbances generated by a parameter-dependent exo-system, while also guaranteeing a specified level of performance measured in terms of the worst- case energy amplification from a finite-energy disturbance to a performance output. The asymptotic regulation objective is achievable if a parameter-dependent system of differential algebraic equations admits bounded solutions for all possible parameter variations, which can be investigated by robust stability analysis techniques. Based on uniform bounds on the solutions, a suitable Lyapunov matrix can be constructed beforehand to achieve the additional performance objective by online scheduling, through LMI optimization, of a controller that accompanies a replica of the exo-system scheduled suitably via the solution of the differential algebraic regulator equations.
Keywords :
"Control system synthesis","Differential algebraic equations","Energy measurement","Time varying systems","Control systems","Feedback loop","Linear matrix inequalities","Robustness","Frequency","Cities and towns"
Conference_Titel :
American Control Conference, 2007. ACC ´07
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
2378-5861
DOI :
10.1109/ACC.2007.4282141