Sparse event‐triggered control of linear systems. (15th July 2022)

• Record Type: Journal Article
• Authors: Banno, Ikumi; Azuma, Shun‐ichi; Ariizumi, Ryo; Asai, Toru
• Other Names: Bako Laurent guestEditor.; Mo Yilin guestEditor.; Nagahara Masaaki guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 33:Number 1(2023)
• Page Start: 134
• Page End: 158
• Publication Date: 2022-07-15
• Subjects: data‐driven control -- event‐triggered control -- Lyapunov equation -- sparsity; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.6278
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: In event‐triggered control, a situation where the control input must be sparse often arises. Therefore, in this study, we propose sparse event‐triggered control, meaning that the control input is sparse and updated in an event‐triggered manner. First, we present a model‐based method for sparse event‐triggered control of linear systems, where the event condition is defined by a Lyapunov function. The resulting control input is proven to be sparse and the control system is confirmed to be asymptotically stable. Second, we extend it to a data‐driven version, where the event condition is adaptively updated from online data on the state trajectory. Finally, we discuss the possibility of extending our framework to two cases of disturbance and nonlinear dynamics.