Terminal sliding mode observer based parameter estimation method for permanent magnet synchronous motor control system

Journal of Dynamic Systems, Measurement, and Control

Kruszewski

Belkoura

2019

This paper deals with the robust stabilization of a class of linear parameter varying (LPV) systems in the sampled data control case. Instead of using a state observer or searching for a dynamic output feedback, the considered controller is based on output derivatives estimation. This allows the stabilization of the plant with very large parameter variations or uncertainties. The proof of stability is based on the polytopic representation of the closed-loop under Lyapunov conditions and system transformations. The result is a control structure with only one parameter tuned via very simple conditions. Finally, the effectiveness of the proposed method is verified via a numerical example of a second-order LPV system.

Section: The Controller/derivative Conceptionmentioning

confidence: 99%

Derivative-Based Sampled Data Control for Continuous Linear Parameter Varying System With Unknown Parameters

Journal of Dynamic Systems, Measurement, and Control

Kruszewski

Belkoura

2019

“…It provides the successive estimations z i (t) of y (i) . Remark 2: In the literature, many approaches were proposed: one can consider sliding mode estimation [19], [20], [21], [22], Luenberger observer based estimation and algebraic estimation [18].…”

Section: Derivative Estimationmentioning

confidence: 99%

“…any stable transfer function with a stable denominator and a pure differentiators for the numerator. Other possibilities consist in the use of algebraic differentiators [18], [14], Luenberger unknown input observer or sliding mode observers [19], [20], [21], [22].…”

Section: Introductionmentioning

confidence: 99%

Derivative based control for LPV system with unknown parameters: An application on a Permanent Magnet Synchronous Motors

2014 IEEE 11th International Multi-Conference on Systems, Signals &Amp; Devices (SSD14)

Kruszewski

Delpoux³

et al. 2014

“…In this part, the problem of estimation of f (t) and the successive derivatives of y(t) are considered. In the literature, many approaches were proposed : one can consider sliding mode estimation, [6], [7], [8], [9], Luenberger observer based estimation and algebraic estimation [5]. In order to get a simple solution, we consider a simple filtered derivative approach :…”

Section: Derivative Estimationmentioning

confidence: 99%

“…any stable transfer function with a pure differentiator for the numerator. Other possibilities consist in the use of algebraic differentiators [5] , [4], unknown input Luenberger observer or sliding mode observers [6], [7], [8], [9].…”

Section: Introductionmentioning

confidence: 99%

Derivative based control for LTV system with unknown parameters

2013 European Control Conference (ECC)

Kruszewki

Belkoura

2013

This paper deals with the robust stabilization of a class of linear time varying systems. Instead of using a state observer or having dynamic structure, the controller is based on output derivative estimation. This allows the stabilization of linear time varying systems with very large parameter variation and a small number of controller parameters. The proof of stability is based on the polytopic representation of the closed loop and Lyapunov conditions. The result is proposed in a Linear Matrix Inequality (LMI) form. The validity of this approach is illustrated by a second order system case of study.