Discretization and stabilization of energy-based controller for period switching control and flexible scheduling

Tafrishi, Seyed Amir ORCID: https://orcid.org/0000-0001-9829-3144, Dai, Xiaotian, Hirata, Yasuhisa and Burns, Alan 2022. Discretization and stabilization of energy-based controller for period switching control and flexible scheduling. Presented at: 2022 American Control Conference (ACC), Atlanta, USA, 08-10 June 2022. 2022 American Control Conference (ACC). 2022 AMERICAN CONTROL CONFERENCE (ACC). IEEE, pp. 844-849. 10.23919/ACC53348.2022.9867252

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Abstract

Emerging advanced control applications, with increased complexity in software but limited computing resources, suggest that real-time controllers should have adaptable designs. These control strategies also should be designed with consideration of the run-time behavior of the system. One of such research attempts is to design the controller along with the task scheduler, known as control-scheduling co-design, for more predictable timing behavior as well as surviving system overloads. Unlike traditional controller designs, which have equal-distance sampling periods, the co-design approach increases the system flexibility and resilience by explicitly considering timing properties, for example using an event-based controller or with multiple sampling times (non-uniform sampling and control). Within this context, we introduce the first work on the discretization of an energy-based controller that can switch arbitrarily between multiple periods and adjust the control parameters accordingly without destabilizing the system. A digital controller design based on this paradigm for a DC motor with an elastic load as an example is introduced and the stability condition is given based on the proposed Lyapunov function. The method is evaluated with various computer-based simulations which demonstrate its effectiveness.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Published Online
Status:	Published
Schools:	Schools > Engineering
Publisher:	IEEE
ISBN:	978-1-6654-5196-3
Last Modified:	24 Jan 2023 02:08
URI:	https://orca.cardiff.ac.uk/id/eprint/155875

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