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Observer-Based Tracking design using H∞ criteria: Application to eco-driving in a tramway system

Abstract : This paper investigates an H∞ Observer-Based Controller design for tracking a tramway system eco-driving trajectory. The model of the tramway system is given in state space form, and the poor manoeuvres of the of the driver when following a reference trajectory are modeled as disturbances with finite energy that affect the system dynamics. To minimize the impact of poor driver manoeuvres, an H∞ Observer-Based Tracking Controller (H∞-OBTC) was designed and its conditions of existence are given. In addition, to ensure the robust convergence of the estimation and the tracking errors simultaneously, a new sufficient condition was obtained based on the Bounded Real Lemma. Two algorithms are presented to solve the robust stability condition obtained. The first one is based on a two-step procedure. Then a linearization approach was used to present the robust stability condition of the errors as a convex optimization problem with a Linear Matrix Inequality (LMI) constraint. The gain matrices of the H∞-OBTC can be computed by solving the LMI given, subject to a minimization constraint.
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Submitted on : Friday, April 15, 2022 - 4:32:10 PM
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Yassine Boukal, Simon Enjalbert. Observer-Based Tracking design using H∞ criteria: Application to eco-driving in a tramway system. European Journal of Control, Elsevier, 2019, 45, pp.65-73. ⟨10.1016/j.ejcon.2018.09.019⟩. ⟨hal-03643378⟩

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