Generalized Full Order Observer Subject to Incremental Quadratic Constraint (IQC) for a Class of Fractional Order Chaotic Systems

In this paper, we used Lyapunov theory and Linear Matrix Inequalities (LMI) to design a generalized observer by adding more complexity in the output of dynamic systems. Our designed is based on optimization problem, minimizing error between trajectories master slave systems subject incremental quadratic constraint. Moreover, an algorithm given our paper demonstrate method for obtaining desired gain matrixes, whereas these matrixes are obtained with aid LMI multiplier matrix (IMM). Finally, discussion two examples integral part study explanation achieved analytical results using MATLAB SCILAB.