Approximate Nonlinear Regulation via Identification-Based Adaptive Internal Models

Bin, Michelangelo; Bernard, Pauline; Marconi, Lorenzo

doi:10.48550/arxiv.1907.05050

Cited by 1 publication

(1 citation statement)

References 31 publications

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“…Choosing T = 1/Λ as interval of integration in (22), we thus obtain a simple estimate of ξ through a batch least-squares algorithm as follows (see [19] for the same structure in the context of output regulation):…”

Section: A Mini-batch Identifier For Enhanced Initial Convergencementioning

confidence: 99%

A Semi-global Hybrid Sensorless Observer for Permanent Magnets Synchronous Machines with Unknown Mechanical Model

Bosso,

Azzollini,

Tilli

2020

Preprint

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In this paper, we present a hybrid sensorless observer for Permanent Magnets Synchronous Machines, with no a priori knowledge of the mechanical dynamics and without the typical assumption of constant or slowly-varying speed. Instead, we impose the rotor speed to have a constant (unknown) sign and a non-zero magnitude at all times. For the design of the proposed scheme, meaningful Lie group formalism is adopted to describe the rotor position as an element of the unit circle. This choice, however, leads to a non-contractible state space, and therefore it introduces topological constraints that complicate the achievement of global/semi-global and robust results. In this respect it is shown that the proposed observer, which employs a clock to periodically reset the estimates, is semi-globally practically asymptotically stable, and thus it improves a continuous-time version designed under the same assumptions. As highlighted in the simulation results, the novel hybrid strategy leads to enhanced transient performance, notably without any modification of the gains employed in the continuous-time solution. These features motivate to augment the observer with a discrete-time identifier, leading to significantly faster rotor flux reconstruction. Keywords-Nonlinear Observers and Filter Design • Stability of Hybrid Systems • Lyapunov Methods • Input-to-State Stability * A. Bosso and A. Tilli are within the research group Advanced Control and Technologies for Enhanced Mechatronics and Automation (ACTEMA).† I. A. Azzollini is with the Center for Research on Complex Automated Systems "Giuseppe Evangelisti" (CASY).

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Section: A Mini-batch Identifier For Enhanced Initial Convergencementioning

confidence: 99%