Observer Based Control of a Class of Nonlinear Fractional Order Systems using LMI
نویسنده
چکیده
Design of an observer based controller for a class of fractional order systems has been done. Fractional order mathematics is used to express the system and the proposed observer. Fractional order Lyapunov theorem is used to derive the closed-loop asymptotic stability. The gains of the observer and observer based controller are derived systematically using the linear matrix inequality approach. Finally, the simulation results demonstrate validity and effectiveness of the proposed observer based controller. Keywords—Fractional order calculus, Fractional order observer, Linear matrix inequality, Nonlinear Systems, Observer based Controller.
منابع مشابه
Observer Based Fuzzy Terminal Sliding Mode Controller Design for a Class of Fractional Order Chaotic Nonlinear Systems
This paper presents a new observer based fuzzy terminal sliding mode controller design for a class of fractional order nonlinear systems. Robustness against uncertainty and disturbance, the stability of the close loop system and the convergence of both the tracking and observer errors to zero are the merits of the proposed the observer and the controller. The high gain observer is applied to es...
متن کاملElham Amini Boroujeni , Hamid Reza Momeni Observer Based Control of a Class of Nonlinear Fractional Order Systems using LMI
Design of an observer based controller for a class of fractional order systems has been done. Fractional order mathematics is used to express the system and the proposed observer. Fractional order Lyapunov theorem is used to derive the closed-loop asymptotic stability. The gains of the observer and observer based controller are derived systematically using the linear matrix inequality approach....
متن کاملA Variable Structure Observer Based Control Design for a Class of Large scale MIMO Nonlinear Systems
This paper fully discusses how to design an observer based decentralized fuzzy adaptive controller for a class of large scale multivariable non-canonical nonlinear systems with unknown functions of subsystems’ states. On-line tuning mechanisms to adjust both the parameters of the direct adaptive controller and observer that guarantee the ultimately boundedness of both the tracking error and tha...
متن کاملSensor Fault Detection for a class of Uncertain Nonlinear Systems Using Sliding Mode Observers
This paper deals with the issues of sensor fault detection for a class of Lipschitz uncertain nonlinear system. By definition coordinate transformation matrix for system states and output system, at first the original system divided into two subsystems. the first subsystem includes uncertainties but without any sensor faults and the second subsystem has sensor faults but is free of uncertaintie...
متن کاملAn LMI Approach to Resilient H ∞ Fractional Order Observer Design for Lipschitz Fractional Order Nonlinear Systems Using Continuous Frequency Distribution
1 *Assistant Professor, Electrical and Computer Engineering Department, Kharazmi University, Tehran, Iran,: [email protected], 2 .Associated Professor, Faculty of Electrical Engineering, Tarbiat Modares University, Tehran, Iran. 3 .Assistant Professor, Faculty of Electrical Engineering, Tarbiat Modares University, Tehran, Iran Abstract Non-fragile H ∞ observer design is the main problem of th...
متن کامل