Control of Fractional Order Systems

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Sabeti Meybod, Fatemeh | 2020

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 52857 (06)
University: Sharif University of Technology
Department: Chemical and Petroleum Engineering
Advisor(s): Shahrokhi, Mohammad
Abstract:
This thesis addresses design of an adaptive tracking control of input-quantized strict-feedback fractional-order nonlinear systems with unknown control directions. The control design is achieved by using a hysteretic quantizer to avoid chattering. The main advantages of the proposed controller are: the fractional order is available for both commensurate and non-commensurate cases, the¬¬ controller design does not depend on the quantization parameters and some restrictive assumptions are relaxed. Additionally only one adaptive law has been used for the unknown control directions which leads to reduction of computational load. By utilizing the backstepping approach and based on the frequency distributed model, a controller in the presence of the above restrictions has been designed. It has been shown that all closed-loop signals are bounded and the output tracking error converges to zero asymptotically. The effectiveness of the purposed controller has been verified by three simulation examples
Keywords:
Fractional Order System ; Adaptive Control ; Unknown Control Direction ; Frequency Distributed Model ; Input Quantization ; Asymptotic Stabilization