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

• Published in: Fractal and fractional Vol. 6; no. 4; p. 189
• Main Authors: Marwan, Muhammad, Abidin, Muhammad Zainul, Kalsoom, Humaira, Han, Maoan
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.04.2022
• Subjects: Algorithms; Calculus; Chaos theory; Design; dynamic systems; Dynamical systems; fractional order chaotic systems; incremental quadratic constraint; Linear matrix inequalities; Mathematical analysis; observer; Optimization; synchronization

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 the dynamic systems. Our designed observer is based on the optimization problem, minimizing error between trajectories of master and slave systems s...