2017 40th International Conference on Telecommunications and Signal Processing (TSP) 2017 # Multi-Loop model reference adaptive control of fractional-order PID control systems

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“…Thus, a change in control performance of inner loop can be easily detected by observing model error signal and then this mismatch can be tolerated by contributions of the MIT rule. Multi-loop control architectures have been addressed previously to improve certain weaknesses of conventional PID systems, and related works indicates potentials of multi-loop control structures to improve control performance [28][29][30][31][32]. Majority of these studies aim retuning of PID controller coefficients according to the model mismatch error.…”

confidence: 99%

“…Thus, a change in control performance of inner loop can be easily detected by observing model error signal and then this mismatch can be tolerated by contributions of the MIT rule. Multi-loop control architectures have been addressed previously to improve certain weaknesses of conventional PID systems, and related works indicates potentials of multi-loop control structures to improve control performance [28][29][30][31][32]. Majority of these studies aim retuning of PID controller coefficients according to the model mismatch error.…”

confidence: 99%

“…According to the fractional calculus of electrical components, admittance and impedance of the fractional‐order capacitor and inductor are shown in Equations (). $${Y}_{C}\prime \left(\omega \right)={\omega}^{\mathit{\alpha c}}C\prime e\frac{j{\alpha}_{c}\pi}{2}={\omega}^{\mathit{\alpha c}}C\prime \mathrm{cos}\frac{j{\alpha}_{c}\pi}{2}+j{\omega}^{\mathit{\alpha c}}C\prime \mathrm{sin}\frac{j{\alpha}_{c}\pi}{2}$$ $${Z}_{L}\prime \left(\omega \right)={\omega}^{{\alpha}_{L}}L\prime e\frac{j{\alpha}_{L}\pi}{2}={\omega}^{{\alpha}_{L}}L\prime \mathrm{cos}\frac{j{\alpha}_{L}\pi}{2}+j{\omega}^{{\alpha}_{L}}L\prime \mathrm{sin}\frac{j{\alpha}_{L}\pi}{2}$$ …”

confidence: 99%

“…Recently, fractional‐order calculus has been studied as a promising field of science that could provide more accurate and authentic modeling of the engineering physical phenomenon. Various applications, such as circuit theory, mechanics, control, electromagnetics, and bioengineering, are benefiting from such work. The fractional point of view is also appropriate for T‐Line modeling.…”

confidence: 99%

“…The topic of multi-loop control involves a wide variety of control systems that employ multi-loop control structures, including cascaded control loops [11,12], multi-input multi-output control systems [13], use of additional control loops for performance improvements [14,15], direct model reference control based on output matching [16,17], direct model reference adaptive control with online controller tuning [5][6][7][8][9][10], model reference adaptive control based on Massachusetts Institute of Technology (MIT) rule [18][19][20][21][22][23], backstepping-based adaptive PID control [24], and hierarchical ML-MR adaptive control [25][26][27][28]. The current study investigates several configurations of hierarchical ML-MR adaptive control structures.…”

confidence: 99%

“…Hierarchical ML-MR adaptive PID control has been investigated, and certain benefits of this structure related to fault tolerance [25] and disturbance rejection [26] have been discussed. This structure can be easily applied to the existing closed loop PID control systems, thus transforming the PID control systems into model reference adaptive PID control systems.…”

confidence: 99%