Quadratic Stability for Hybrid Systems With Nested Saturations

The problems of characterizing quadratic stability and computing an estimation of the domain of attraction for saturated hybrid systems are addressed. Hybrid systems presenting saturations and nested saturations on signals involved in both the continuous-time and the discrete-time dynamics are consi...

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Published inIEEE transactions on automatic control Vol. 57; no. 7; pp. 1832 - 1838
Main Authors Fiacchini, M., Tarbouriech, S., Prieur, C.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.07.2012
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Applied sciences
Asymptotic stability
Attraction
Automatic
Automatic control
Computation
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Domain of attraction
Dynamical systems
Dynamics
Ellipsoids
Engineering Sciences
Estimation
Exact sciences and technology
Hybrid systems
Lyapunov methods
nested saturations
Saturation
Stability
Stability criteria
Trajectory
hybrid systems
Discrete time
Continuous time
Input saturation
Domain of attraction
Quadratic system
Local effect
nested saturations
stability
Global local method
Hybrid system
Online AccessGet full text
ISSN0018-9286
1558-2523
2334-3303
1558-2523
DOI10.1109/TAC.2011.2178651

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Abstract The problems of characterizing quadratic stability and computing an estimation of the domain of attraction for saturated hybrid systems are addressed. Hybrid systems presenting saturations and nested saturations on signals involved in both the continuous-time and the discrete-time dynamics are considered. Geometrical characterizations of local and global quadratic stability are provided. Computation oriented conditions for quadratic stability are given in form of convex constraints.
AbstractList The problems of characterizing quadratic stability and computing an estimation of the domain of attraction for saturated hybrid systems are addressed. Hybrid systems presenting saturations and nested saturations on signals involved in both the continuous-time and the discrete-time dynamics are considered. Geometrical characterizations of local and global quadratic stability are provided. Computation oriented conditions for quadratic stability are given in form of convex constraints.
Author Fiacchini, M.
Prieur, C.
Tarbouriech, S.
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  fullname: Prieur, C.
  email: christophe.prieur@gipsa-lab.grenoble-inp.fr
  organization: Dept. of Autom. Control, Domaine Univ., Grenoble, France
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Issue 7
Keywords hybrid systems
Discrete time
Continuous time
Input saturation
Domain of attraction
Quadratic system
Local effect
nested saturations
stability
Global local method
Hybrid system
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StartPage 1832
SubjectTerms Applied sciences
Asymptotic stability
Attraction
Automatic
Automatic control
Computation
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Domain of attraction
Dynamical systems
Dynamics
Ellipsoids
Engineering Sciences
Estimation
Exact sciences and technology
Hybrid systems
Lyapunov methods
nested saturations
Saturation
Stability
Stability criteria
Trajectory
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