In this paper, a class of fractional order systems is considered and simple fractional order observers have been proposed to estimate the system’s state variables. By introducing a fractional calculus into the observer design, the developed fractional order observers guarantee the estimated states reach the original system states. Using the fractional order Lyapunov approach, the stability (zer...

In this paper, a novel problem of observer-based adaptive fuzzy fractional control for fractional order dynamic systems with commensurate orders is investigated; the control scheme is constructed by using the backstepping and adaptive technique. Dynamic surface control method is used to avoid the problem of “explosion of complexity” which is caused by backstepping design process. Fuzzy logic sy...

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...

This paper proposes an adaptive observer-based scheme to control fractional-order chaotic micro-electro-mechanical-systems (MEMS). The model of a system exhibits the dynamic behaviour physical more accurately than similar integer-order one. An considering unknown parameters is presented for micro-electro-mechanical-system. To handle existence parameters, law consists both estimated and also sta...

This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two n...