On decentralized stabilization of discrete-time nonlinear systems

Authors:
A. Jokic;M. Lazar
Affiliations:
Department of Electrical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands;Department of Electrical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 4
Cited 0

Convex Optimization

Convex Optimization
On the Robustness of $\mathcalKL$-stability for Difference Inclusions: Smooth Discrete-Time Lyapunov Functions

SIAM Journal on Control and Optimization
Survey A survey of computational complexity results in systems and control

Automatica (Journal of IFAC)
Input-to-state stability for discrete-time nonlinear systems

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper deals with stabilization of interconnected discrete-time nonlinear systems under given, arbitrary information constraints on the controller structure. As a prominent example, the considered information constraints on the controller structure include decentralized and distributed control over a given communication network. The main contribution of this paper is twofold. Firstly, we introduce the notion of structured control Lyapunov functions (CLFs) as a suitable tool for stabilizing controller synthesis under information constraints. This includes the relaxation of Lyapunov conditions at the local level. Secondly, we present a method for constructing structured CLFs and we show that the controller synthesis problem using structured CLFs can be formulated as a convex optimization problem. Possible solutions for solving this problem efficiently under several different types of information constraints are also indicated.