Authors:
M. M. Belhaouane
;
R. Mtar
;
H. Belkhiria Ayadi
and
N. Benhadj Braiek
Affiliation:
École Polytechnique de Tunis (EPT), Tunisia
Keyword(s):
Nonlinear polynomial systems, Lyapunov stability theory, Robust control, Power systems, Linear matrix inequalities.
Related
Ontology
Subjects/Areas/Topics:
Informatics in Control, Automation and Robotics
;
Modeling, Simulation and Architectures
;
Nonlinear Signals and Systems
;
Robotics and Automation
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
In this paper, robust quadratic stabilization of nonlinear polynomial systems within the frame work of Linear Matrix Inequalities (LMIs) is investigated. The studied systems are composed of a vectoriel polynomial function of state variable, perturbed by an additive nonlinearity which depends discontinuously on both time and state. Our main objective is to show, by employing the Lyapunov stability direct method and the Kronecker product properties, how a polynomial state feedback control law can be formulated to stabilize a nonlinear polynomial systems and, at the same time, maximize the bounds on the perturbation which the system can tolerate without going unstable. The efficiency of the proposed control strategy is illustrated on the Turbine - Governor system.