The polynomial approximation of the explicit solution of model-based predictive controller for drive applications

Ameen, N. Al-Sheakh; Galal, B. S.; Kennel, Ralph; Kanchan, R.S.

doi:10.1109/precede.2011.6078733

Cited by 5 publications

(8 citation statements)

References 10 publications

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“…Therefore, only the explicit control law κ LSF in (8) will be implemented. Here, it is important to highlight that this approach is limited to converters that can be (locally) modeled as linear systems, i.e., f in (1) follows the linear model presented in (5).…”

Section: B Basic Control Laws: Fcs-mpc and Explicit Mpcmentioning

confidence: 99%

“…3. The upper threshold J H should be chosen small enough for the local model (5) to be accurate and also to allow timely detection of transient operation. Its size is limited by the necessity to avoid false-triggering due to noise and switching effects inherent to steady-state operation.…”

Section: Mode Switchingmentioning

confidence: 99%

“…The proposed switched MPC algorithm can be applied to a variety of converter topologies, provided they can be locally described by a linear model of the form (5).…”

Section: Case Study: Flying Capacitor Convertermentioning

confidence: 99%

“…Some suboptimal solutions have been proposed to govern nonlinear systems. Nevertheless, the optimization problem needs, in general, to be solved online, which normally requires a high computational burden, see, e.g., [4][5][6] Some efforts have been made in order to obtain fast predictive controller with constant switching frequency. One of the first one is the, so-called, Predictive-Direct Power Control (P-DPC) [7,8].…”

Section: Introductionmentioning

confidence: 99%

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Switched Model Predictive Control for Improved Transient and Steady-State Performance

Aguilera

Lezana

Quevedo

2015

IEEE Trans. Ind. Inf.

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This work presents a novel switched Model Predictive Control (MPC) formulation for power converters. During transients, the proposed method uses horizon-one non-linear Finite Control Set MPC to drive the system towards the desired reference. When the converter state is close to the reference, the controller switches to linear operation, using an approximate converter model and a PWM modulator. As an illustrative example, the proposed switched MPC is applied to a Flying Capacitor Converter. As evidenced by experimental results, the proposed control strategy provides quick disturbance compensation, whilst at the same time, giving excellent steady-state performance.

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Section: B Basic Control Laws: Fcs-mpc and Explicit Mpcmentioning

confidence: 99%

Section: Mode Switchingmentioning

confidence: 99%

“…The proposed switched MPC algorithm can be applied to a variety of converter topologies, provided they can be locally described by a linear model of the form (5).…”

Section: Case Study: Flying Capacitor Convertermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Switched Model Predictive Control for Improved Transient and Steady-State Performance

Aguilera

Lezana

Quevedo

2015

IEEE Trans. Ind. Inf.

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“…Methodology of systematic design of appropriate cost functions is still an open problem of the MPC approach, as well as its extension for longer prediction horizons [18]. Approaches based on dynamic optimization [23] or polynomial approximations [24] has been investigated. In this paper, we investigate the use of the lookahead technique of approximate dynamic programming [25] to address both issues.…”

Section: Model Predictive Controlmentioning

confidence: 99%

Improved Stability of DC Catenary Fed Traction Drives Using Two-Stage Predictive Control

Šmı́dl

Janouš

Peroutka

2015

IEEE Trans. Ind. Electron.

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Control of the main propulsion drive of a traction vehicle must secure excellent drive dynamics, but it also has to consider properties of the dc catenary. Specifically, the catenary voltage is subject to short circuits, fast changes, harmonics and other disturbances which can vary in a wide range. Therefore, the drive is equipped by the catenary input LC filter. The filter is almost undamped by design in order to achieve maximum efficiency and the control strategy needs to secure active damping of the filter to guarantee stability of the drive. Existing solutions for active damping usually introduce some drawback in dynamic properties of the drive. In this paper, we study the use of two stage predictive control. Damping of the filter will be solved on a long horizon using linear controller. Dynamic properties of the drive will be guaranteed by optimization on a short horizon using the finite control set model predictive control (FCS-MPC). These two approaches can be elegantly combined via approximate dynamic programming. The resulting algorithm can be interpreted as a standard FCS-MPC with a model-based designed cost function. Performance of the resulting controller was verified in simulations on a prototype of a main PMSM drive of a tram and experimentally on a developed laboratory prototype of 10.7 kW.

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The explicit solution of model-based predictive control by considering the nonlinearities in drive applications

Ameen

Galal

Kennel³

et al. 2012

2012 15th International Power Electronics and Motion Control Conference (EPE/PEMC)

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The main contribution of this work is reflected in the way of dealing with non-linear terms, appearing in AC machine models. Consideration of these nonlinearities in formulating the model predictive control (MPC) problem with offline optimization are normally ignored, considered as an additive disturbance, or linearized around some operating points. In this work, nonlinear terms are considered without linearization and compensated either inner or outer the MPC controller structure in different configurations. The cross-coupling and nonlinearities between state variables in the fundamental model of AC machines arise in term of induced voltages. The effect of these voltages on the MPC current controller increases proportionally by accelerating the machine. Therefore, an unloaded induction machine is introduced in this paper as a case study. Furthermore, a comparative analysis concerning the compensation procedure of these terms is introduced between the proposed methods and other ones in conventional scalar and complex PI-controllers.

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The polynomial approximation of the explicit solution of model-based predictive controller for drive applications

Cited by 5 publications

References 10 publications

Switched Model Predictive Control for Improved Transient and Steady-State Performance

Switched Model Predictive Control for Improved Transient and Steady-State Performance

Improved Stability of DC Catenary Fed Traction Drives Using Two-Stage Predictive Control

The explicit solution of model-based predictive control by considering the nonlinearities in drive applications

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