non-fragile observer design is the main problem of this paper. using continuous frequency distribution, the stability conditions based on integer order lyapunov theorem are derived for lipschitz class of nonlinear fractional order systems. the proposed observer is stable beside the existence of both gain perturbation and input disturbance. for the first time, in this paper a systematic method i...

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....

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....

This paper considers fault estimation in nonlinear fractional order systems in observer form. For this aim, a step by step second order sliding mode observer is used. By means of a fractional inequality, the stability of the observer estimation errors is analyzed and some conditions are introduced to guarantee finite time convergence of estimation errors. Finally, in a numerical example, effect...

The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by fractional-order differential equation. First, as an example of such system, viscoelastically damped structure is selected. Second, LQR designed for in which terms are contained the equation motion. An iteration-based method solving algebraic Riccati proposed order obtain feedback gains LQR. ...

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...

Many complex systems containing fractal structure can be described by fractional order derivative. By expressing the complex system as fractional order system (system containing fractional order derivative), system’s complex behavior can be simply described with small number of parameters. However, in order to control or identify such system containing unknown variable parameters, online parame...

A framework of distributed interval observers is introduced for fractional-order multiagent systems in the presence nonlinearity. First, a frame was designed to construct upper and lower bounds system state. By using monotone theory, positivity error dynamics could be ensured, which implies that trap original Second, sufficient condition applied guarantee boundedness observers. Then, an extensi...