Local Stabilization for Multiple Input-Delay Systems Subject to Saturating Actuators: The Continuous-Time Case

In this article, the local stabilization problem is dealt with for a class of continuous-time multiple input-delay systems subject to saturating actuators. Using the generalized sector conditions and the piecewise Lyapunov-Krasovskii functional, and carrying out rigorous mathematical deduction, a su...

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Published inIEEE transactions on automatic control Vol. 67; no. 6; pp. 3090 - 3097
Main Authors Chen, Yonggang, Wang, Zidong, Shen, Bo, Han, Qing-Long
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Actuators
Continuous-time systems
Control systems
Control theory
Deduction
Delay effects
Delays
Initial conditions
Linear matrix inequalities
local stabilization
Mathematical analysis
multiple input delays
Optimization
saturating actuators
Stabilization
Symmetric matrices
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Abstract In this article, the local stabilization problem is dealt with for a class of continuous-time multiple input-delay systems subject to saturating actuators. Using the generalized sector conditions and the piecewise Lyapunov-Krasovskii functional, and carrying out rigorous mathematical deduction, a sufficient condition is established under which the closed-loop dynamics is exponentially stable for admissible initial conditions. Subsequently, the explicit characterization of controller gains is obtained in terms of the solvability of linear matrix inequalities. The special cases concerning the constant and single delays are also discussed. Moreover, optimization problems are proposed to maximize the estimate of the domain of attraction. Finally, two examples are given to show the effectiveness and advantages of the obtained results.
AbstractList In this article, the local stabilization problem is dealt with for a class of continuous-time multiple input-delay systems subject to saturating actuators. Using the generalized sector conditions and the piecewise Lyapunov-Krasovskii functional, and carrying out rigorous mathematical deduction, a sufficient condition is established under which the closed-loop dynamics is exponentially stable for admissible initial conditions. Subsequently, the explicit characterization of controller gains is obtained in terms of the solvability of linear matrix inequalities. The special cases concerning the constant and single delays are also discussed. Moreover, optimization problems are proposed to maximize the estimate of the domain of attraction. Finally, two examples are given to show the effectiveness and advantages of the obtained results.
Author Shen, Bo
Han, Qing-Long
Wang, Zidong
Chen, Yonggang
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SubjectTerms Actuators
Continuous-time systems
Control systems
Control theory
Deduction
Delay effects
Delays
Initial conditions
Linear matrix inequalities
local stabilization
Mathematical analysis
multiple input delays
Optimization
saturating actuators
Stabilization
Symmetric matrices
Title Local Stabilization for Multiple Input-Delay Systems Subject to Saturating Actuators: The Continuous-Time Case
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