
Read Control of Initialized Fractional-Order Systems. Qiang Xue, Haibin Duan.Robust Attitude Control for Reusable Launch Vehicles Based on Fractional Calculus and Pigeon-inspired Optimization. IEEE/CAA Journal of Automatica Sinica, 2017,4(1): 89-97 and fractional order PID controller design. For this purpose, the modelling operation based on the use of two model structures is performed for two different integer order systems given in the literature. Obtained model structures are used in fractional order controller design. Model parameters are obtained using ABC and DE algorithms. Fractional-order financial system introduced W.-C. Chen (2008) displays chaotic motions at order less than 3. In this paper we have extended the nonlinear feedback control in ODE systems to fractional-order systems, in order to eliminate the chaotic behavior. The results are proved analytically applying the Lyapunov linearization method and stability condition for fractional system Hence we proposed two different control methods to suppress the chaotic oscillations. In the first method we derive fractional order adaptive sliding mode control (FOASMC) algorithm to control chaotic oscillations and in the second method we used genetically optimized fractional order PID controllers (GAFOPID) for chaos control. The research on singular fractional-order systems is much more complicated than that for state-space systems, because it requires considering not only stability, but also regularity and impulse elimination, while the latter do not appear in regular ones. Very recently, the study on singular fractional-order systems has received much attention. An analog fractional order PI controller, using a circuit element with fractional order impedance, a Fractor (patent pending), is demonstrated in both a simple temperature control application and a more complex motor controller. The performance improvement over a standard PI controller was notable in both reduction of overshoot and decreased time to stable temperature, while retaining long An analog fractional order PI controller, using a circuit element with fractional order impedance, a Fractor (patent pending), is demonstrated in both a simple temperature control application and a more complex motor controller. The performance improvement over a standard PI controller was notable in both reduction of overshoot and decreased time to stable temperature, while retaining long Design of a Fractional-order Self-tuning Regulator using Optimization Algorithms Deepyaman Maiti, Mithun Chakraborty, Ayan Acharya, and Amit Konar Department of Electronics and Telecommunication Engineering, Jadavpur University, Kolkata, India Abstract