NDLI: Event-triggered control of positive switched systems based on linear programming

Content Provider	IET Digital Library
Author	Liu, Laiyou Zhang, Junfeng Shao, Yu Deng, Xuanjin
Abstract	This study focuses on the problem of event-triggered control for positive switched systems without/with input saturation in both continuous-time and discrete-time contexts. First, a 1-norm based event-triggering mechanism is established for continuous-time positive switched systems. By means of the matrix decomposition technique, an event-triggered controller for the systems is designed by decomposing controller gain matrix into non-positive and non-negative components. Under the designed controller, the resulting closed-loop systems are positive and stable. For the systems with input saturation, the saturation term is transformed into interval form under the event-triggering condition. Then, an event-triggered controller gain matrix and a cone domain of attraction gain matrix are designed for the corresponding interval systems in terms of linear programming, respectively. Furthermore, the presented approaches are extend to discrete-time positive switched systems without/with input saturation. Compared with existing results on positive switched systems, the designed event-triggered controller can reduce sampling frequency and save resources. Finally, two numerical examples are provided to verify the effectiveness of the obtained results.
Starting Page	145
Ending Page	155
Page Count	11
ISSN	17518644
Volume Number	14
e-ISSN	17518652
Issue Number	Issue 1, Jan (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/14/1
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2019.0606
Journal	IET Control Theory & Applications
Publisher Date	2019-10-02
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	1-norm Based Event-triggering Mechanism Algebra Attraction Gain Matrix Closed Loop System Closed-loop System Continuous Time System Continuous-time Positive Switched System Control Nonlinearities Control System Analysis Control System Synthesis Discrete Control System Discrete Time System Discrete-time Positive Switched System Event-triggered Controller Gain Matrix Event-triggering Condition Input Saturation Interval System Linear Programming Matrix Decomposition Nonnegative Component Nonpositive Component Optimisation Technique Resource Saving Sampling Frequency Reduction Sampling Method Stability Stability in Control Theory Statistics Switching System (control) Synthesis Method Time Varying Control System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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