Induction motor control based on adaptive passivity

Abstract. The problem of controlling induction motors, together with associated AC/DC rectifiers and DC/AC inverters, is addressed. The control objectives are threefold: (i) the motor speed should track any reference signal despite mechanical parameter uncertainties and variations; (ii) the DC Link voltage must be tightly regulated; (iii) the power factor correction (PFC) w.r.t. the power supply net must be performed in a satisfactory way. First, a nonlinear model of the whole controlled system is developed within the Park coordinates. Then, a multi-loop nonlinear adaptive controller is synthesized using the backstepping design technique. A formal analysis based on Lyapunov stability and average theory is made to exhibit the control system performances. In addition to closed-loop global asymptotic stability, it is proved that all control objectives (motor speed tracking, rotor flux regulation, DC link voltage regulation and unitary power factor) are asymptotically achieved, up to small but unavoidable harmonic errors (ripples).

“…7 As there are three control inputs at hand, namely 1 u , 2 u and 3 u , two more control objectives are added: …”

Section: Control Objectivesmentioning

confidence: 99%

“…Therefore, one seeks a regulator that enforces the current 1 x to tack a reference signal * 1 x of the form:…”

Section: Controlling Rectifier Input Current To Meet Pfcmentioning

confidence: 99%

“…It can be easily checked that the time-derivative 1 V  is a negative definite function of 1 z if the control input is chosen as follows: 1) The current loop undergoes the equation …”

Section: Controlling Rectifier Input Current To Meet Pfcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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This paper presents a robust control strategy for a Permanent Magnet Synchronous Machine (PMSM) based on passivity theory. Pre‐control terms ensure robustness to variation of parameters. The nominal electrical and mechanical dynamics are treated separately and a cascade structure is obtained. A comparative analysis is done in Matlab‐Simulink with a Simple Adaptive Control (SAC) strategy in terms of settling time, stationary error, time response and energy efficiency. Improvements of the proposed Passivity Based Control (PBC) strategy are shown in comparison with some other PBC controllers.

Survey on Passivity Based Control of Induction Machine

Becherif

2018

Induction machines (IM) constitute a theoretically interesting and practically important class of nonlinear systems. They are frequently used as wind generators for their power/cost ratio. They are described by a fifth-order nonlinear differential equation with two inputs and only three state variables available for measurement. The control task is further complicated by the fact that IM are subject to unknown (load) disturbances and the parameters can be of great uncertainty. One is then faced with the challenging problem of controlling a highly nonlinear system, with unknown time-varying parameters, where the regulated output, besides being unmeasurable, is perturbed by an unknown additive signal. Passivity-based control (PBC) is a well-established structure-preserving design methodology which has shown to be very powerful to design robust controllers for physical systems described by Euler-Lagrange equations of motion. PBCs provide a natural procedure to "shape" the potential energy yielding controllers with a clear physical interpretation in terms of interconnection of the system with its environment and are robust vis á vis to unmodeled dissipative effects. One recent approach of PBC is the Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) which is a very useful technique to control nonlinear systems assigning a desired (Port-Controlled Hamiltonian) structure to the closed-loop. The aim of this paper is to give a survey on different PBC of IM. The originality of this work is that the author proves that the well known field oriented control of IM is a particular case of the IDA-PBC with disturbance.