|International Journal of Computer Applications
|Foundation of Computer Science (FCS), NY, USA
|Volume 113 - Number 8
|Year of Publication: 2015
|Authors: Hesam Sajjadi, Reyhaneh Kardehi Moghaddam, Najmeh Eghbal
Hesam Sajjadi, Reyhaneh Kardehi Moghaddam, Najmeh Eghbal . Stabilizing Controller Design for a Special Class of PWA Systems using Discontinuous Piecewise Quadratic Lyapunov Functions. International Journal of Computer Applications. 113, 8 ( March 2015), 26-31. DOI=10.5120/19848-1714
In this paper a new controller is proposed to stabilize an especial class of hybrid piecewise affine systems. In this study, for the first time, the stabilizing controller is designed based on discontinuous piecewise quadratic Lyapunov functions which decrease the conservation and propose a wider class of applicable Lyapunov functions as it omits the continuity condition in boundary points compared to continuous piecewise quadratic Lyapunov functions. In addition the stability conditions are formulated in the form of Bilinear Matrix Inequalities (BMI) problem. To solve the proposed problem, BMI is defined in the form of a multi-objective nonlinear optimization problem which has been solved through using genetic Algorithm (GA).