Authors:
Ngoc Hoai An Nguyen
and
Sung Hyun Kim
Affiliation:
School of Electrical Engineering, University of Ulsan, Daehak-ro 93, Nam-Gu, Ulsan, 680-749 and South Korea
Keyword(s):
Asynchronous Control, Dissipative Control, Markovian Jump Systems, Transition Rates.
Related
Ontology
Subjects/Areas/Topics:
Hybrid Learning Systems
;
Informatics in Control, Automation and Robotics
;
Information-Based Models for Control
;
Intelligent Control Systems and Optimization
;
Modeling, Analysis and Control of Hybrid Dynamical Systems
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
The asynchronous control design of continuous-time Markovian jump systems with bounded time-varying transition rates is addressed in this paper. According to the framework of parameterized linear matrix inequalities (PLMIs), essential stabilization conditions are established with consideration on dissipativity performance and then transform to solvable sets of linear matrix inequalities (LMIs) under our proposed method. Especially, our technique is derived from not only time-varying system modes but also asynchronous control modes transition rates. The effectiveness of our method is then illustrated through our numerical example.