2007
DOI: 10.1109/tac.2007.908320
|View full text |Cite
|
Sign up to set email alerts
|

Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems

Abstract: In this paper, we show, for any nonlinear system that is asymptotically controllable to a compact set, that a logic-based, hybrid feedback can achieve asymptotic stabilization that is robust to small measurement noise, actuator error, and external disturbance. The construction of such a feedback hinges upon recasting a stabilizing patchy feedback in a hybrid framework by making it dynamic with a discrete state, while insisting on semicontinuity and closedness properties of the hybrid feedback and of the result… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
75
0
2

Year Published

2008
2008
2016
2016

Publication Types

Select...
5
2

Relationship

1
6

Authors

Journals

citations
Cited by 72 publications
(77 citation statements)
references
References 36 publications
0
75
0
2
Order By: Relevance
“…In order to clarify the notation, a hybrid formulation of the sampled-data system is proposed, using (Goebel et al 2012, Prieur et al 2007, Prieur, Tarbouriech and Zaccarian 2013. More precisely the sampled-data system is rewritten as where s ∈ R m represents the held value of the control input (that is implemented over the sampling interval), p ∈ R q contains additional parameters, g :…”
Section: Problem Formulationmentioning
confidence: 99%
See 3 more Smart Citations
“…In order to clarify the notation, a hybrid formulation of the sampled-data system is proposed, using (Goebel et al 2012, Prieur et al 2007, Prieur, Tarbouriech and Zaccarian 2013. More precisely the sampled-data system is rewritten as where s ∈ R m represents the held value of the control input (that is implemented over the sampling interval), p ∈ R q contains additional parameters, g :…”
Section: Problem Formulationmentioning
confidence: 99%
“…Such a regularization is useful to ensure a robustness issue of the stability that will be derived in this paper (see e.g., (Goebel et al 2012, Chapter 4) for an introduction on generalization of solutions to hybrid systems in connection with perturbations). The robustness with respect to measurement noise or actuation errors follows from general robustness results of asymptotically stable hybrid systems (see e.g., (Goebel et al 2012, Prieur et al 2007). …”
Section: Problem Formulationmentioning
confidence: 99%
See 2 more Smart Citations
“…Significant results towards stabilization of nonlinear systems by means of sampled-data feedback control have appeared in the literature (see for instance [1], [2], [4]- [8], [10]- [15], [17], [20] and relative references therein). In the recent works [22] and [23], the concept of Weak Global Asymptotic Stabilization by Sampled-Data Feedback (SDF-WGAS) is introduced for autonomous systems: This condition constitutes an extension of the well-known "Artstein-Sontag" sufficient condition for asymptotic stabilization of systems (1.2) by means of an almost smooth feedback; (see [3], [19] and [21]).…”
Section: Introductionmentioning
confidence: 99%