Application of Variations of Cohort Intelligence in Designing Fractional PID Controller for Various Systems
The socio-inspired algorithm is widely used for engineering applications. Recently, Cohort intelligence (CI) algorithm, a socio-inspired algorithm has been applied to various control systems controlled by fractional order controller. The Cohort intelligen
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Abstract The socio-inspired algorithm is widely used for engineering applications. Recently, Cohort intelligence (CI) algorithm, a socio-inspired algorithm has been applied to various control systems controlled by fractional order controller. The Cohort intelligence algorithm has already been successfully applied in unconstrained test problems, various mechanical applications, combinatorial problem such as 0–1 Knapsack Problem, healthcare domain, practical applications of multiple Knapsack problems and selection of cross-border shippers problem. In this book chapter, variations of cohort intelligence will be applied for the various control system including first-order system, second-order system, fractional-order system, and higher order systems. Optimization algorithms are used for the design of various controllers like the classical PID controller, MPC controller, fractional-order controller, and various model-based controllers. Also, these algorithms can be used to estimate the parameters of various systems to model them. Various optimization techniques have been applied for designing controllers like genetic algorithm, particle swarm optimization (PSO), electromagnetism-like algorithm, improved differential evolution, etc. Most of these methods are not able to find global optimal solution for the given plant. Besides, these methods don’t properly tune for all varieties of systems. Variation of CI algorithm can be applied to different types of control system problems. Keywords Cohort intelligence · Fractional PID controller · Fractional calculus · Socio-inspired optimization
P. Shah (B) · A. J. Kulkarni Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India e-mail: [email protected] A. J. Kulkarni Odette School of Business, University of Windsor, 401 Sunset Avenue, Windsor, ON N9B3P4, Canada e-mail: [email protected] © Springer Nature Singapore Pte Ltd. 2019 A. J. Kulkarni et al. (eds.), Socio-cultural Inspired Metaheuristics, Studies in Computational Intelligence 828, https://doi.org/10.1007/978-981-13-6569-0_9
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1 Introduction A controller is required to get the desired output from a system in process control. Recently, the fractional PID controller has been used by many researchers for controlling the system. In this controller, there are five parameters to tune whereas the classical PID controller has only three parameters to tune. Hence, the tuning of the fractional PID controller is more challenging than the classical controller. The tuning of the controller can be done by analytical methods, rule-based methods and numerical methods. Apart from these methods, there are few more methods like self-tuning, adaptive tuning, etc. However, the numerical methods are used in most designs as these methods give better results. In numerical methods, various time and/or frequency domain specifications are minimized by optimization methods. A performance index is a statistical measure of the system performance and it is se
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