Network Dynamics and Control
Description
Network control is composed of two closely related areas. The first one addresses various designs of controllers for networked control systems in broad sense: centralized control, decentralized control, distributed control, adaptive control, robust control, etc. The second one addresses various stability conditions for networks composed of interconnected systems. The latter is also important, because many problems of the first type (regulation, tracking, stabilization) are eventually reduced to the stability properties for the corresponding tracking error. The solutions to the problems of the second class are based on the methods of the input-to-state stability (ISS) theory, whereas the problems of the first class can be solved by the development of the methods of nonlinear control theory. In this project, we will extend and redesign the existing sufficient conditions of the ISS of complex networks and apply them to decentralized robust and adaptive control of networked control systems.
Goals
- to redesign the existing algorithms of decentralized robust and/or adaptive control for large-scale networks of interconnected nonlinear control systems with uncertainties and/or external disturbances
- to prove suitable extensions of the existing small gain theorems as a necessary prerequisite of the previous item
- to demonstrate the efficiency of the new theory in comparison with the previous results
References
Decentralized adaptive stabilization of infinite networks of switched nonlinear systems with unknown control directions
61st IEEE Conference on Decision and Control, Dec 2022
S. Pavlichkov, N.Bajcinca
A note on applications of a trajectory-based small-gain theorem to decentralized stabilization of switching networks with generalized dead zones.
J. Franklin Inst., 357, 7796–7817 (2020).
S. Pavlichkov, C. K. Pang.
Stability conditions for infinite networks of nonlinear systems and their application for stabilization.
Automatica, 112, 108643 (2020).
S. Dashkovskiy, S. Pavlichkov.
Keywords
Large-scale networks
Robust control
Adaptive control
Input-to-state stability
Contact
Dr. Svyatoslav Pavlichkov
Gottlieb-Daimler-Str. 42
67663, Kaiserslautern
Phone: +49 (0)631/205-3706
Fax: +49 (0)631/205-4201
svyatoslav.pavlichkov(at)mv.uni-kl.de
Funding
State of Rhineland-Palatinate
Time span
Since 2021