Title
A linear matrix inequality approach to optimal reset control design for a class of nonlinear systems
Author
Shahbazzadeh, Majid (Babol Noshirvani University of Technology)
Sadati, S. Jalil (Babol Noshirvani University of Technology)
Hassan HosseinNia, S. (TU Delft Mechatronic Systems Design) 
Date
2024
Abstract
In this article, the problem of the optimal reset control design for Lipschitz nonlinear systems is addressed. The reset controller includes a base linear controller and a reset law that enforces resets to the controller states. The reset law design is strongly dependent on the appropriate design of the base controller. For this reason, in this article, the base controller and reset law are simultaneously designed. More precisely, an optimal dynamic output feedback is considered as the base controller which minimizes the upper bound of a quadratic performance index, and a reset law is used to improve the transient response of the closed-loop system. This design is done in a full offline procedure. The problem is transformed into a set of linear matrix inequalities (LMIs), and the reset controller is obtained by solving an offline LMI optimization problem. Finally, two examples are presented to illustrate the effectiveness and validity of the proposed method.
Subject
dynamic output feedback
linear matrix inequalities
Lipschitz condition
reset control systems
reset law
To reference this document use:
http://resolver.tudelft.nl/uuid:17ed518d-20f2-4147-81e8-557a9f51efd0
DOI
https://doi.org/10.1002/rnc.7248
Embargo date
2024-07-19
ISSN
1049-8923
Source
International Journal of Robust and Nonlinear Control, 34 (8), 5049-5062
Part of collection
Institutional Repository
Document type
journal article
Rights
© 2024 Majid Shahbazzadeh, S. Jalil Sadati, S. Hassan HosseinNia