Stability and Stabilization of Aperiodic Sampled-Data Systems Subject to Control Input Saturation: A Set Invariant Approach

This article proposes a new method to deal with the stability analysis and stabilization of aperiodic sampled-data control systems subject to input saturation. An impulsive system representation is employed, with a linear flow and a nonlinear jump dynamics, such that the evolution of the system at t...

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Published inIEEE transactions on automatic control Vol. 67; no. 3; pp. 1423 - 1429
Main Authors Huff, Daniel Denardi, Fiacchini, Mirko, da Silva, Joao Manoel Gomes
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Subjects
Asymptotic stability
Automatic
Continuity (mathematics)
Control stability
Control systems
Data systems
Engineering Sciences
Input saturation
Liapunov functions
Lyapunov analysis
Nonlinear dynamical systems
Nonlinear dynamics
Power system stability
Sampled data systems
Saturation
Stability analysis
Stability criteria
Time-varying systems
Two dimensional displays
input saturation
sampled-data systems
Lyapunov analysis
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Abstract This article proposes a new method to deal with the stability analysis and stabilization of aperiodic sampled-data control systems subject to input saturation. An impulsive system representation is employed, with a linear flow and a nonlinear jump dynamics, such that the evolution of the system at the sampling instants can be modeled by a difference inclusion defined by two set-valued maps. We show that to ensure the asymptotic stability it is sufficient to verify that a Lyapunov function decreases by a certain amount only at a grid of possible values for the sampling interval, as long as the increase of the function in continuous-time is conveniently bounded. Simulation results compare our approach with other ones.
AbstractList This article proposes a new method to deal with the stability analysis and stabilization of aperiodic sampled-data control systems subject to input saturation. An impulsive system representation is employed, with a linear flow and a nonlinear jump dynamics, such that the evolution of the system at the sampling instants can be modeled by a difference inclusion defined by two set-valued maps. We show that to ensure the asymptotic stability it is sufficient to verify that a Lyapunov function decreases by a certain amount only at a grid of possible values for the sampling interval, as long as the increase of the function in continuous-time is conveniently bounded. Simulation results compare our approach with other ones.
This work proposes a new method to deal with the stability analysis and stabilization of aperiodic sampled-data control systems subject to input saturation. An impulsive system representation is employed, with a linear flow and a nonlinear jump dynamics, in such a way that the evolution of the system at the sampling instants can be modeled by a difference inclusion defined by two set-valued maps. We show that to ensure the asymptotic stability it is sufficient to verify that a Lyapunov function decreases by a certain amount only at a grid of possible values for the sampling interval, as long as the increase of the function in continuous-time is conveniently bounded. Simulation results compare our approach with other ones.
Author Fiacchini, Mirko
Huff, Daniel Denardi
da Silva, Joao Manoel Gomes
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Snippet This article proposes a new method to deal with the stability analysis and stabilization of aperiodic sampled-data control systems subject to input saturation....
This work proposes a new method to deal with the stability analysis and stabilization of aperiodic sampled-data control systems subject to input saturation. An...
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SubjectTerms Asymptotic stability
Automatic
Continuity (mathematics)
Control stability
Control systems
Data systems
Engineering Sciences
Input saturation
Liapunov functions
Lyapunov analysis
Nonlinear dynamical systems
Nonlinear dynamics
Power system stability
Sampled data systems
Saturation
Stability analysis
Stability criteria
Time-varying systems
Two dimensional displays
Title Stability and Stabilization of Aperiodic Sampled-Data Systems Subject to Control Input Saturation: A Set Invariant Approach
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