Lasso-mpc – Predictive Control With ℓ1-regularised Least Squares

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    Lasso-MPC – Predictive Control with ℓ1-Regularised Least Squares
    By: Marco Gallieri
    Publisher:
    Springer
    Print ISBN: 9783319279619, 3319279610
    eText ISBN: 9783319279633, 3319279637
    Copyright year: 2016
    Format: PDF
    Available from $ 149.00 USD
    SKU 9783319279633
    This thesis proposes a novel Model Predictive Control (MPC) strategy, which modifies the usual MPC cost function in order to achieve a desirable sparse actuation. It features an ℓ1-regularised least squares loss function, in which the control error variance competes with the sum of input channels magnitude (or slew rate) over the whole horizon length. While standard control techniques lead to continuous movements of all actuators, this approach enables a selected subset of actuators to be used, the others being brought into play in exceptional circumstances. The same approach can also be used to obtain asynchronous actuator interventions, so that control actions are only taken in response to large disturbances. This thesis presents a straightforward and systematic approach to achieving these practical properties, which are ignored by mainstream control theory.
     

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