On decentralized stabilization of discrete-time nonlinear systems

A. Jokic; M. Lazar

doi:10.1109/ACC.2009.5160424

On decentralized stabilization of discrete-time nonlinear systems

A. Jokic, M. Lazar

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

32 Citations (Scopus)

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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.

Original language	English
Title of host publication	Proceedings of the 28th American Control Conference, (ACC '09) 10 - 12 June 2009, St. Louis, MO, USA
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers
Pages	5777-5782
ISBN (Print)	978-978-1-424-44523-3
DOIs	https://doi.org/10.1109/ACC.2009.5160424
Publication status	Published - 2009

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title = "On decentralized stabilization of discrete-time nonlinear systems",

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.",

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On decentralized stabilization of discrete-time nonlinear systems. / Jokic, A.; Lazar, M.
Proceedings of the 28th American Control Conference, (ACC '09) 10 - 12 June 2009, St. Louis, MO, USA. Piscataway, NJ: Institute of Electrical and Electronics Engineers, 2009. p. 5777-5782.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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On decentralized stabilization of discrete-time nonlinear systems

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