Adaptive sliding mode backstepping control - based maximum torque per ampere control of permanent magnet-assisted synchronous reluctance motor via nonlinear disturbance observer

Yang Yu,Xiaojiang Zheng,Da Chang,Xiaoming Zheng,Chenjun Sun,Zengqiang Mi

doi:10.1177/1687814018788750

Abstract

Combined with two approaches of sliding mode control and backstepping control, an adaptive sliding mode–based backstepping control scenario on the basis of nonlinear disturbance observer is proposed to complete maximum torque per ampere control for permanent magnet–assisted synchronous reluctance motor. The constraint relation of permanent magnet–assisted synchronous reluctance motor under maximum torque per ampere control is built, and the design of the controller is elaborated in detail. The uncertainties of modeling errors considering unmatched items are estimated through a presented nonlinear disturbance observer. The adaptive law reflecting the modeling error of the system is constructed. Globally asymptotic stability and convergence of the tracking error for the system are validated through Lyapunov stability criterion. Simulation and experimental results illustrate that external disturbances and uncertainties are observed correctly by nonlinear disturbance observer; the close-loop system controlled by the proposed controller can track the references rapidly and precisely, and the designed controller has a good robust ability.

Highlights

In the past decades, direct current (DC) motor drive has been gradually replaced by alternating current (AC) motor drive
In allusion to maximum torque per ampere (MTPA) control of PMa-SynRM below base speed and considering model parameter uncertainties and external disturbances with mismatching items, a composite nonlinear disturbance observer (NDO)-based adaptive sliding mode control (SMC) Backstepping control (BC) algorithm is proposed by integrating the theories of adaptive BC and SMC
The control problem in the article can be described as: for a PMa-SynRM with comprehensive interferences produced by the uncertainties of modeling errors, NDO in equation (10) is designed to estimate the comprehensive interferences; speed backstepping controller in equation (19), and current backstepping controller in equation (36) are proposed based on MTPA control in equation (6) and adaptive law in equation (34) to regulate the speed and d–q axis currents to track respective references rapidly

Summary

Introduction

Direct current (DC) motor drive has been gradually replaced by alternating current (AC) motor drive. Finite element method (FEM) as a popular method is used to optimize the currents[11] and considers the effect of saturation.[12] For various types of PMa-SynRM, optimization control through FEM needs considerably complex modeling and analysis in spite of simpleness and effectiveness.[13] due to the parameters of PMa-SynRM such as stator resistance, flux linkage vary with temperature.[14] Niazi et al.[15] proposes a parameter estimation based robust MTPA control strategy via the technology of multiple reference frame, and sliding mode control (SMC) is utilized to construct robust MTPA controller by Chakali et al.[16] and Foo and Rahman.[17]. In allusion to MTPA control of PMa-SynRM below base speed and considering model parameter uncertainties and external disturbances with mismatching items, a composite NDO-based adaptive SMC BC algorithm is proposed by integrating the theories of adaptive BC and SMC.

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Lq usq

Conclusion