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Stability and Safety through Event-Triggered Intermittent Control with Application to Spacecraft Orbit Stabilization

Ong, Pio and Bahati, Gilbert and Ames, Aaron D. (2022) Stability and Safety through Event-Triggered Intermittent Control with Application to Spacecraft Orbit Stabilization. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20220714-194256328

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Abstract

In systems where the ability to actuate is a scarce resource, e.g., spacecrafts, it is desirable to only apply a given controller in an intermittent manner--with periods where the controller is on and periods where it is off. Motivated by the event-triggered control paradigm, where state-dependent triggers are utilized in a sample-and-hold context, we generalize this concept to include state triggers where the controller is off thereby creating a framework for intermittent control. Our approach utilizes certificates--either Lyapunov or barrier functions--to design intermittent trigger laws that guarantee stability or safety; the controller is turned on for the period for which is beneficial with regard to the certificate, and turned off until a performance threshold is reached. The main result of this paper is that the intermittent controller scheme guarantees (set) stability when Lyapunov functions are utilized, and safety (forward set invariance) in the setting of barrier functions. As a result, our trigger designs can leverage the intermittent nature of the actuator, and at the same time, achieve the task of stabilization or safety. We further demonstrate the application and benefits of intermittent control in the context of the spacecraft orbit stabilization problem.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://doi.org/10.48550/arXiv.2204.03110arXivDiscussion Paper
ORCID:
AuthorORCID
Ong, Pio0000-0002-9665-1320
Ames, Aaron D.0000-0003-0848-3177
Additional Information:Attribution 4.0 International (CC BY 4.0) This research is supported in part by Raytheon Technologies and the National Science Foundation (CPS Award #1932091). The authors would like to thank JPL for their feedback on the application of these ideas to spacecraft, and Saptarshi Bandyopadhyay in particular for discussions and providing the eighth-order harmonics gravity model used in our simulation results.
Group:Center for Autonomous Systems and Technologies (CAST)
Funders:
Funding AgencyGrant Number
Raytheon CompanyUNSPECIFIED
NSFCNS-1932091
Record Number:CaltechAUTHORS:20220714-194256328
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220714-194256328
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115561
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:15 Jul 2022 22:37
Last Modified:15 Jul 2022 22:37

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