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Power-constrained intermittent control
Authors:Peter Gawthrop  David Wagg  Simon Neild  Liuping Wang
Affiliation:1. Department of Electrical and Electronic Engineering , The University of Melbourne , VIC 3010, Melbourne , Australia Peter.Gawthrop@unimelb.edu.au;3. Department of Mechanical Engineering , University of Bristol , Bristol BS8 1TR , UK;4. Discipline of Electrical Energy and Control Systems, School of Electrical and Computer Engineering , RMIT University , Melbourne , VIC 3000 , Australia
Abstract:In this article, input power, as opposed to the usual input amplitude, constraints are introduced in the context of intermittent control. They are shown to result in a combination of quadratic optimisation and quadratic constraints. The main motivation for considering input power constraints is its similarity with semi-active control. Such methods are commonly used to provide damping in mechanical systems and structures. It is shown that semi-active control can be re-expressed and generalised as control with power constraints and can thus be implemented as power-constrained intermittent control. The method is illustrated using simulations of resonant mechanical systems and the constrained nature of the power flow is represented using power-phase-plane plots. We believe the approach we present will be useful for the control design of both semi-active and low-power vibration suppression systems.
Keywords:intermittent control  hybrid control  vibration control  semi-active damping  power phase-plane
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