Open AccessReduced‐order event‐triggered controller for a singularly perturbed system: An active suspension case
Author(s) -
Bhandari Manisha,
Fulwani Deepak,
Bandopadhyay B.,
Gupta Rajeev
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.0864
Subject(s) - control theory (sociology) , singular perturbation , active suspension , controller (irrigation) , context (archaeology) , computer science , feedback controller , perturbation (astronomy) , full state feedback , suspension (topology) , mathematics , control (management) , actuator , physics , mathematical analysis , paleontology , quantum mechanics , artificial intelligence , homotopy , pure mathematics , agronomy , biology
For two‐time scale systems, singular perturbation theory is often used for designing a controller based only on an approximate model of its slow dynamics, assuming the fast model to be stable. In this context, the authors investigate and implement a stabilising event‐triggered feedback law for a networked singularly perturbed system, based only on an approximate model of its slow dynamics. Triggering rule guarantees the stability and the existence of a positive lower bound between two consecutive transmissions. The proposed approach has been validated for a laboratory‐scale hardware setup of an active suspension system of a quarter‐car model. The presence of fast and slow modes in a vehicle suspension system is utilised to model it as a singularly perturbed system. Experimental results indicate that in spite of the simplified structure of the controller and event‐triggered feedback, its performance is comparable to that of the full‐state feedback design with continuous feedback with the significant reduction in control execution events.