Abstract
Controlling an unstable continuously stirred tank reactor (CSTR) process using a model reference adaptive control (MRAC) scheme is a very challenging task. Hence, this article shows a novel approach of fractional calculus using both Grunwal–Letnikov (G-L) and Riemann–Liouville (R-L) methods which are used to develop fractional order tuning rule of MRAC for first-order CSTR with time delay. The efficacy of fractional order proportional–integral–derivative (FOPID) controller is also investigated, and its parameters are computed using a modified particle swarm optimization (PSO) algorithm using IAE, ISE and ITAE as cost functions. Comparative simulation studies are carried out between normal PSO and modified PSO on time domain metrics. Another comparative simulation studies are investigated between fractional order Lyapunov rule and conventional Lyapunov rule to showcase the efficacy of fractional order method for controlling the unstable process. The quantitative measurements of both of the rules are also computed. The effect of perturbation in plant model is also studied to show efficacy of the rule.
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Mukherjee, D., Lloyds Raja, G., Kundu, P., Ghosh, A. (2022). Analysis of Fractional Calculus-Based MRAC and Modified Optimal FOPID on Unstable FOPTD Processes. In: Das, B., Patgiri, R., Bandyopadhyay, S., Balas, V.E. (eds) Modeling, Simulation and Optimization. Smart Innovation, Systems and Technologies, vol 292. Springer, Singapore. https://doi.org/10.1007/978-981-19-0836-1_33
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DOI: https://doi.org/10.1007/978-981-19-0836-1_33
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