Expanded proximate time‐optimal servo control of permanent magnet synchronous motor

Lü, Tao; Cheng, Guangming

doi:10.1002/oca.2193

Cited by 8 publications

(11 citation statements)

References 37 publications

(36 reference statements)

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“…The determination of parameters

k_{1}

and

k_{2}

using

v_{l}

as the unique tuning parameter has been reported in [7]. Here, we aim to achieve more flexibility in tuning the control performance.…”

Section: Expanded Ptos Controlmentioning

confidence: 99%

“…For such kind of systems, the model in (1) should be replaced by the following:

({, \begin{matrix} 1em4pt \\ \dot{y} = v \\ \begin{matrix} 1em4pt \\ \dot{v} = a \cdot v + b \cdot false(sat false(u false) + d false) \end{matrix} \end{matrix})

where d represents the lump sum disturbance including the plant certainty. To reject the adverse impact induced by disturbance, some kind of compensation needs to be embedded in the controller (see e.g., [1, 6, 7]). Assuming a piecewise constant disturbance and augmenting the plant model, we can design a reduced‐order ESO for simultaneous estimation of the un‐measured speed and unknown disturbance:

({, \begin{matrix} 1em4pt \\ \begin{matrix} 1em4pt \\ \dot{λ} = (][, \begin{matrix} 1em4pt \\ - \sqrt{2} ω_{0} & b \\ - \frac{ω_{0}^{2}}{b} & 0 \end{matrix}) \cdot λ + (][, \begin{matrix} 1em4pt \\ b & - ω_{0}^{2} - \sqrt{2} a ω_{0} \\ 0 & - \frac{false(a + \sqrt{2} ω_{0} false) ω_{0}^{2}}{b} \end{matrix}) \cdot ()(, \begin{matrix} 1em4pt \\ sat false(u false) \\ y \end{matrix}), \\ ()(, \begin{matrix} 1em4pt \\ \overset{false^}{v} \\ \overset{false^}{d} \end{matrix}) = λ + (][, \begin{matrix} 1em4pt \\ a + \sqrt{2} ω_{0} \\ \frac{ω_{0}^{2}}{b} \end{matrix}) \cdot y \end{matrix} \end{matrix})

where

λ

is the observer state, while

\overset{false^}{v}

and

\overset{false^}{d}

, respectively, are the estimated values of speed v and disturbance d .…”

Section: Expanded Ptos Controlmentioning

confidence: 99%

“…For such cases, the PTOS philosophy needs to be extended. Indeed, such an attempt has been made in a recent work [7], which proposed an expanded PTOS (EPTOS) design using a velocity-related transition strategy to replace the position-related counterpart of PTOS. To be specific, the EPTOS also utilises a TOC control signal for the fastest acceleration or deceleration at the beginning, but then it turns into linear regulation for settling down once the motion speed falls below a specified value.…”

mentioning

confidence: 99%

“…where d represents the lump sum disturbance including the plant certainty. To reject the adverse impact induced by disturbance, some kind of compensation needs to be embedded in the controller (see e. g., [1,6,7]). Assuming a piecewise constant disturbance and augmenting the plant model, we can design a reduced-order ESO for simultaneous estimation of the un-measured speed and unknown disturbance:…”

mentioning

confidence: 99%

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Parameterised design of robust point‐to‐point fast motion controller

Cheng

2017

Electron. lett.

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A dual-parameter design of expanded proximate time-optimal controller is proposed for fast point-to-point motion in typical electromechanical servo systems with a damping element. The controller initially resorts to a saturated control signal for the fastest acceleration or braking if possible and then seamlessly gives way to a linear control strategy once the motion slows down. The damping ratio and natural frequency of the linear control law are chosen as the design parameters to allow for a better tuning of the control performance. An extendedstate observer is also included for simultaneous estimation of system speed and disturbance. Experimental verification is conducted on a DC motor position servo system using a TMS320F28335 board, and the effectiveness of the proposed design is demonstrated.

show abstract

“…The determination of parameters

k_{1}

and

k_{2}

using

v_{l}

as the unique tuning parameter has been reported in [7]. Here, we aim to achieve more flexibility in tuning the control performance.…”

Section: Expanded Ptos Controlmentioning

confidence: 99%

“…For such kind of systems, the model in (1) should be replaced by the following:

({, \begin{matrix} 1em4pt \\ \dot{y} = v \\ \begin{matrix} 1em4pt \\ \dot{v} = a \cdot v + b \cdot false(sat false(u false) + d false) \end{matrix} \end{matrix})

({, \begin{matrix} 1em4pt \\ \begin{matrix} 1em4pt \\ \dot{λ} = (][, \begin{matrix} 1em4pt \\ - \sqrt{2} ω_{0} & b \\ - \frac{ω_{0}^{2}}{b} & 0 \end{matrix}) \cdot λ + (][, \begin{matrix} 1em4pt \\ b & - ω_{0}^{2} - \sqrt{2} a ω_{0} \\ 0 & - \frac{false(a + \sqrt{2} ω_{0} false) ω_{0}^{2}}{b} \end{matrix}) \cdot ()(, \begin{matrix} 1em4pt \\ sat false(u false) \\ y \end{matrix}), \\ ()(, \begin{matrix} 1em4pt \\ \overset{false^}{v} \\ \overset{false^}{d} \end{matrix}) = λ + (][, \begin{matrix} 1em4pt \\ a + \sqrt{2} ω_{0} \\ \frac{ω_{0}^{2}}{b} \end{matrix}) \cdot y \end{matrix} \end{matrix})

where

λ

is the observer state, while

\overset{false^}{v}

and

\overset{false^}{d}

, respectively, are the estimated values of speed v and disturbance d .…”

Section: Expanded Ptos Controlmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Parameterised design of robust point‐to‐point fast motion controller

Cheng

2017

Electron. lett.

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“…In particular, Workman [28] pioneers a proximate time‐optimal (PTO) scheme for motion system. This seminal work is later extended in several directions and various appealing PTO controls have been proposed by the authors of [29–32]. The other efforts on the composite non‐linear feedback methodology for accurate control of motion systems with actuator constraint can be found in [33–36] and the references therein.…”

Section: Introductionmentioning

confidence: 99%