Tuning of PID controllers by the non-symmetrical optimum method

Loron, Luc

doi:10.1016/s0005-1098(96)00135-5

Cited by 40 publications

(11 citation statements)

References 6 publications

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“…In this section, we presents a tuning method for the IP controller of a sensorless speed loop. In [13], we have shown that the PI or IP controller can be tuned efficiently by the Non Symmetrical Optimum Method (NSOM) which is an improvement of the Symmetrical Optimum Method [14] and allows the setting of the closed-loop peak factor. This method only requires a second order approximation of the process given by:…”

Section: A Speed Loop Identification and Tuningmentioning

confidence: 99%

“…At t = 0, a large step change is applied to the speed reference and the controller output is saturated during 0.23 s. K Q and T Q can be deduced from the slope and delay of the speed estimation asymptote. Then the parameters of the IP controller can easily be calculated by using the tuning rules of the NSOM [14]. TABLE I summarizes the model and controller parameters.…”

Section: A Speed Loop Identification and Tuningmentioning

confidence: 99%

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Sensorless control of a PMSM using an improved implementation of MATSUI’s method

Ane

Loron

2008

MELECON 2008 - The 14th IEEE Mediterranean Electrotechnical Conference

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This paper deals with the control of permanent magnet synchronous motors (PMSM) without position sensor. Our control scheme is based on an improvement of the second Matsui's estimation method and relies on two second-order observers (one for each axis of the electrical model). An efficient methodology is presented for the tuning of the loop controllers and especially for the speed loop controller. Simulation and experimental results on a 4.4 kW motor are presented and analyzed. They show the effectiveness of the proposed approach. Index Terms-PMSM, sensorless control, vector control, Luenberger observer and controller tuning methodology. I. NOMENCLATURE i d , i q Stator d and q axes currents v d , v q Stator d and q axes voltages r s , Ψ M Stator resistance, Rotor magnet flux linkage L d , L q Stator d and q axes inductances J m , Ω Rotor inertia and Motor speed θ m Mechanical angular position ω e , θ e Electrical pulsation and angular position T e , T r Electromagnetic and load torques n pp Number of pole pairs

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Section: A Speed Loop Identification and Tuningmentioning

confidence: 99%

Section: A Speed Loop Identification and Tuningmentioning

confidence: 99%

Sensorless control of a PMSM using an improved implementation of MATSUI’s method

Ane

Loron

2008

MELECON 2008 - The 14th IEEE Mediterranean Electrotechnical Conference

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“…The most important one is to define the class of plants of interest in an effective manner. It is a common and widely-accepted by-product of the SOM to approximate many high-order processes, e.g., thermal and electromechanical systems (see [9,26]) by an integration plus a first-order model. More precisely, let the plant be represented by…”

Section: The Models Of the Plant And Of The Pi α Controllermentioning

confidence: 99%

“…The dead time L, the time constants τ j and τ i may be gathered into an equivalent time constant T E as follows (see [8,9]):…”

Section: The Models Of the Plant And Of The Pi α Controllermentioning

confidence: 99%

New tuning rules for fractional PIα controllers

Maione

Lino

2006

Nonlinear Dyn

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This paper describes a new tuning method for fractional PI α controllers. The main theoretical contribution of the paper is the analytical solution of a nonlinear function minimization problem, which plays a central role in deriving the tuning formulae. These formulae take advantage of the fractional order α to offer an excellent tradeoff between dynamic performances and stability robustness. Finally, a position control is implemented to compare laboratory experiments with computer simulations. The comparison results show the good performance of the tuning formulae.

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“…With the help of the Nichols chart, the maximum peak resonance and the gain and phase margins were used to tune the PID controller [15]. A similar technique to that used in [15] for the tuning of a PID controller with an integral and a first-order stable plant without time-delay was presented in [13]. This non-symmetrical optimum method is based on the specification of the closed-loop resonant peak and the gain optimum condition.…”

Section: Introductionmentioning

confidence: 99%

Pid And Pid‐Like Controller Design By Pole Assignment Within D‐Stable Regions

Wang

Schinkel

Schmitt-Hartmann

et al. 2002

Asian Journal of Control

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This paper presents a new PID and PID-like controller design method that permits the designer to control the desired dynamic performance of a closed-loop system by first specifying a set of desired D-stable regions in the complex plane and then running a numerical optimisation algorithm to find the controller parameters such that all the roots of the closed-loop system are within the specified regions. This method can be used for stable and unstable plants with high order degree, for plants with time delay, for controller with more than three design parameters, and for various controller configurations. It also allows a unified treatment of the controller design for both continuous and discrete systems. Examples and comparative simulation results are provided to illustrate its merit.

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Tuning of PID controllers by the non-symmetrical optimum method

Cited by 40 publications

References 6 publications

Sensorless control of a PMSM using an improved implementation of MATSUI’s method

Sensorless control of a PMSM using an improved implementation of MATSUI’s method

New tuning rules for fractional PIα controllers

Pid And Pid‐Like Controller Design By Pole Assignment Within D‐Stable Regions

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