CUED Publications database

Relay-based hybrid control of minimal-order mechanical systems with applications

Bisoffi, A and Forni, F and Da Lio, M and Zaccarian, L (2018) Relay-based hybrid control of minimal-order mechanical systems with applications. Automatica, 97. pp. 104-114. ISSN 0005-1098

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This work explores the potential of relay-based control on a one-degree-of-freedom nonlinear mechanical system, in the contexts of both sustaining and damping oscillations. For both cases we state our main results building upon a simple reset formulation (relay feedback) and providing intuitive basic equations from classical mechanics. With a more rigorous description following a hybrid system formalism, we establish then the global asymptotic stability of the corresponding (compact-set) attractors through hybrid Lyapunov tools. The aspects of sustaining and damping oscillation are seen as complementary, because they reduce to a suitable mirroring of the reset surface. Finally, we discuss two applications of our results to the case of a hopping mass and an automotive suspension.

Item Type: Article
Divisions: Div F > Control
Depositing User: Unnamed user with email
Date Deposited: 25 Jun 2018 20:10
Last Modified: 09 Sep 2021 03:05
DOI: 10.1016/j.automatica.2018.07.033