Simple FOPI Tuning Method for Real-Order Time Delay Systems
Fractional-order controllers (FOC) can be more adequate to control systems with complex dynamics than integer-order controllers; however, how to obtain FOC is still being explored vigorously. This paper deals with a tuning approach for FOC with primary re
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Abstract Fractional-order controllers (FOC) can be more adequate to control systems with complex dynamics than integer-order controllers; however, how to obtain FOC is still being explored vigorously. This paper deals with a tuning approach for FOC with primary requirements of simplicity in technique and robustness. A simple analytical method to tune fractional-order proportionalintegral (FOPI) controller for known system transfer functions is proposed. Study shows the simplicity and efficiency of the presented design method over some previously published approaches. Keywords Fractional-order PI controller Optimal tuning
Robustness Time delay systems
1 Introduction There are many techniques for PID tuning, classical rules, optimization programs, model-based tuning, and many other tested in industry so far [1]. Even though the PID is simple, many challenge to tune the controller parameters practically. Recently, real-order PID controller design shows considerable interest in academic research and industry [2–8]. This is mainly due to the fact that real-order transfer for controller can better represent the various systems of engineering and sciences [1]. In general, real-order transfer function considered for PID is called the U. Mehta (&) V. Lechappe School of Engineering and Physics, The University of the South Pacific, Suva, Fiji e-mail: [email protected] V. Lechappe e-mail: [email protected] O.P. Singh Department of Electronics and Communication Engineering, Sikkim Manipal Institute of Technology, Majitar, Sikkim, India e-mail: [email protected] © Springer Nature Singapore Pte Ltd. 2018 A. Konkani et al. (eds.), Advances in Systems, Control and Automation, Lecture Notes in Electrical Engineering 442, https://doi.org/10.1007/978-981-10-4762-6_44
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fractional-order PID (FOPID) controller. Moreover, it is evident from significant research that FOC have additional merits of handling complex system dynamics compared to conventional PID. After inducing the concept of FOPID controller in [1], a stabilization problem of fractional systems using FOPID controllers was also studied by Hamamci [9]. Especially, due to the computational tool such as FOMCON toolbox [10] available, design verification of real-order transfer function is possible in Simulink study. Literature study shows that number of design approaches have been reported to suggest good FOPID parameter values. Some methods were applied successfully in many practical non-integer examples such as control of hard disk drive servo systems, control of power electronic converters, velocity control of a servo system, control of composite hydraulic cylinders, and control of head flow. All previous techniques experience certain limitations, such as to solve simultaneously two or more nonlinear algebraic relations to calculate the unknown parameters of FOPID. However, in this way, there is a possibility to place the non-optimum solution if pitiable guess of initial values is used. In this work, an effort is made to develop explic
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