A Lie Algebraic Approach to Design of Stable Feedback Control Systems with Varying Sampling Rate - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2008

A Lie Algebraic Approach to Design of Stable Feedback Control Systems with Varying Sampling Rate

Abstract

This paper addresses the design of a controller family that, given a continuous-time linear plant sampled at a varying rate, asymptotically stabilizes the closed loop. Under the assumption of having a finite and known set of allowable sampling intervals, the problem is formulated as that of stabilizing a discrete-time switched system (DTSS). The solution approach consists in choosing the controller parameters in order for the Lie algebra generated by the closed-loop DTSS-matrices to be solvable, as this property guarantees the existence of a common Lyapunov function for the control system. The results can be applied to design digital controllers sharing resources, as it is the case of networked control systems, where the need of adapting the rate of task scheduling may originate significant sampling time variations.
Fichier principal
Vignette du fichier
ifac2008_LieAlg_ff_sj.pdf (377 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00335936 , version 1 (31-10-2008)

Identifiers

  • HAL Id : inria-00335936 , version 1

Cite

Flavia Felicioni, Sergio J. Junco. A Lie Algebraic Approach to Design of Stable Feedback Control Systems with Varying Sampling Rate. 17th International Federation of Automatic Control - IFAC 2008 World Congress, Jul 2008, Seul, South Korea. ⟨inria-00335936⟩
100 View
224 Download

Share

Gmail Facebook X LinkedIn More