학술논문

Asynchronous Control of 2-D Semi-Markov Jump Systems Under Actuator Saturation
Document Type
Periodical
Author
Source
IEEE Transactions on Circuits and Systems II: Express Briefs IEEE Trans. Circuits Syst. II Circuits and Systems II: Express Briefs, IEEE Transactions on. 70(11):4118-4122 Nov, 2023
Subject
Components, Circuits, Devices and Systems
Markov processes
Switches
Actuators
Linear matrix inequalities
Hidden Markov models
Estimation
Control systems
Semi-Markov jump systems
2-D systems
actuator suturation
region of attraction
Language
ISSN
1549-7747
1558-3791
Abstract
This brief investigates the asynchronous control issue of two-dimensional (2-D) semi-Markov jump systems in Roesser model. The switch of subsystems is governed by a novel mode generation approach, where the index of system mode is determined by the sum of variables of two directions. Such an approach can remove the problem of mode ambiguousness effectively. The actuator saturation and inaccessible system mode are simultaneously taken into account in the design of an asynchronous controller. The conditions are established to guarantee the almost surely exponential stability of the system. Additionally, estimation of the region of attraction is obtained by solving an optimization problem related to linear matrix inequalities. Finally, a numerical example is studied to demonstrate the availability of the designed asynchronous controller.