Fractional Order Control and Synchronization of Chaotic by Ahmad Taher Azar
By Ahmad Taher Azar
The ebook reviews at the most recent advances in and purposes of fractional order keep an eye on and synchronization of chaotic structures, explaining the suggestions excited by a transparent, matter-of-fact sort. It comprises 30 unique contributions written through eminent scientists and energetic researchers within the box that tackle theories, tools and purposes in a couple of learn components concerning fractional order regulate and synchronization of chaotic platforms, akin to: fractional chaotic platforms, hyperchaotic platforms, complicated structures, fractional order discrete chaotic platforms, chaos regulate, chaos synchronization, jerk circuits, fractional chaotic structures with hidden attractors, neural community, fuzzy common sense controllers, behavioral modeling, powerful and adaptive keep watch over, sliding mode regulate, kinds of synchronization, circuit awareness of chaotic platforms, and so on.
In addition to supplying readers broad info on chaos basics, fractional calculus, fractional differential equations, fractional keep an eye on and balance, the booklet additionally discusses key functions of fractional order chaotic platforms, in addition to multidisciplinary strategies built through keep an eye on modeling. As such, it bargains definitely the right reference advisor for graduate scholars, researchers and practitioners within the components of fractional order keep an eye on structures and fractional order chaotic systems.
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Extra info for Fractional Order Control and Synchronization of Chaotic Systems
Added to that, the implementation of some observers could be interesting as we will not be able to measure the temperature at any point of the bar due to some physical/technical limitations. The last and most interesting point is to implement physically this system and to be able to compare the real measurements to the simulated ones.
As for the CRONE controller synthesis, it is done a posteriori when applying the second generation. Hence, the open loop transfer function is expressed as follow: 1 + s ̸ωl nl 1 + s ̸ωh n 1 βðsÞ = β0 , s ̸ωl 1 + s ̸ωl ð1 + s ̸ωh Þnh ð44Þ where ωl and ωh represent the transitional low and high frequencies, n a real non-integer order between 1 and 2 near the frequency ωu, nl and nh are the orders of the asymptotic behavior at low and high frequencies and β0 a constant which ensures unity gain at frequency ωu.
In Advances in chaos theory and intelligent control. Studies in fuzziness and soft computing (Vol. 337). Springer-Verlag: Germany. 53. , & Azar, A. T. (2016). Qualitative study and adaptive control of a novel 4-D hyperchaotic system with three quadratic nonlinearities. In Advances in chaos theory and intelligent control. Studies in fuzziness and soft computing (Vol. 337). Springer-Verlag: Germany. 54. , & Costa, J. S. D. (2013). An introduction to fractional control. London, United Kingdom: IET.