On parameterized stabilization of networked dynamical systems

Hermans, R.M. and Lazar, M and Jokić, Andrej and Gielen, R.H. (2011) On parameterized stabilization of networked dynamical systems. = On parameterized stabilization of networked dynamical systems. In: 18th IFAC World Congress 2011, 28.08.-02.09.2011., Milano, Italija.

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Abstract

The problem of stabilizing networked dynamical systems (NDS) in a scalable fashion is addressed. As a rst contribution, an example is provided to demonstrate that the standard methods for NDS stabilization come with considerable conservatism. Then, a solution to this issue is proposed, in which the controller synthesis is decentralized via a set of parameterized local functions. The corresponding stability conditions allow for max-construction of a Lyapunov function (LF) for the full closed-loop system, while neither of the local functions is required to be a local LF. It is shown that the provided approach is non-conservative in the sense that it is able to nd a stabilizing control law for the motivating example network, whereas state-of-the-art non-centralized Lyapunov techniques fail. For input-affine NDS and quadratic parameterized local functions, the combined LF synthesis and control scheme can be formulated as a set of low-complexity semi-de nite programs that are solved on-line, in a receding horizon manner.

Item Type:	Conference or Workshop Item (Lecture)
Keywords (Croatian):	Lyapunov methods; distributed control; networked control systems; large-scale systems
Subjects:	NATURAL SCIENCES > Mathematics TECHNICAL SCIENCE > Mechanical Engineering TECHNICAL SCIENCE > Basic technical sciences
Divisions:	900 Department of Robotics and Production System Automation > 910 Chair of Engineering Automation
Indexed in Web of Science:	No
Indexed in Current Contents:	No
Date Deposited:	21 Apr 2017 13:07
Last Modified:	19 Nov 2018 15:57
URI:	http://repozitorij.fsb.hr/id/eprint/7710

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