Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
Volume 32, Issue 5, Pages 2040-2053Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2020.2996094
Keywords
Actuator saturations; discrete-time networks; dynamical networks; mixed delays; switching topology; synchronization control
Categories
Funding
- National Natural Science Foundation of China [61773156, 61873148, 61673141, 61933007]
- Program for Science and Technology Innovation Talents in the Universities of Henan Province of China [19HASTIT028]
- Research Fund for the Taishan Scholar Project of Shandong Province of China
- Royal Society of the U.K.
- Alexander von Humboldt Foundation of Germany
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This article addresses the synchronization control problem for discrete-time dynamical networks with mixed delays and switching topology. It specifically considers the saturation phenomenon of physical actuators and establishes conditions ensuring the stability of error dynamics and existence of desired controller gains. Three convex optimization problems are formulated for disturbance tolerance, performance constraints, and initial conditions. Two simulation examples demonstrate the effectiveness and merits of the proposed results.
This article is concerned with the synchronization control problem for a class of discrete-time dynamical networks with mixed delays and switching topology. The saturation phenomenon of physical actuators is specifically considered in designing feedback controllers. By exploring the mixed-delay-dependent sector conditions in combination with the piecewise Lyapunov-like functional and the average-dwell-time switching, a sufficient condition is first established under which all trajectories of the error dynamics are bounded for admissible initial conditions and nonzero external disturbances, while the l(2)-l(infinity) performance constraint is satisfied. Furthermore, the exponential stability of the error dynamics is ensured for admissible initial conditions in the absence of disturbances. Second, by using some congruence transformations, the explicit condition guaranteeing the existence of desired controller gains is obtained in terms of the feasibility of a set of linear matrix inequalities. Then, three convex optimization problems are formulated regarding the disturbance tolerance, the l(2)-l(infinity) performance, and the initial condition set, respectively. Finally, two simulation examples are given to show the effectiveness and merits of the proposed results.
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