2017
DOI: 10.1049/iet-cta.2016.0685
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k P ‐stable regions in the space of PID controller coefficients

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Cited by 15 publications
(8 citation statements)
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“…The PID controller and the parameters involved with this controller are discussed in many research papers in the literature [43][44][45]. Many methods provide PID controller tuning in [46,47].…”
Section: Controllers Validation and Implementationmentioning
confidence: 99%
“…The PID controller and the parameters involved with this controller are discussed in many research papers in the literature [43][44][45]. Many methods provide PID controller tuning in [46,47].…”
Section: Controllers Validation and Implementationmentioning
confidence: 99%
“…23 The popularity of this controller is due to several factors like its simple structure, robustness to system's inertia matrix, understandable principles, simple implementation, specific physical meaning and adjustable frequency response measure such as the gain margin, phase margin and bandwidth frequencies. Moreover, multiple simple and complicated tuning algorithms have been proposed to design the optimal PID controller, 24 or to improve the closed loop performance of the system such as the Ziegler-Nichols 25 and Åström-Hägglund phase margin 26 methods. However, implementing such tuning algorithms may not lead to an acceptable closed-loop response, particularly for dynamical systems with time varying coefficients.…”
Section: Pid Controllermentioning
confidence: 99%
“…The computation of all stabilizing PI(D) controllers by using the Kronecker summation method was presented in [10]. A Nyquist plotbased technique for calculation of KP-stable regions was developed in [11] (for time delay and PI controller parameters) and [12] (for PID controller parameters). A Lyapunov equation-based stability mapping approach can be found in [13], [14].…”
Section: Introductionmentioning
confidence: 99%