Distributed Robust Continuous-Time Optimization Algorithms for Time-Varying Constrained Cost Functions

This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and constraints in multi-agent systems, particularly those subject to disturbances. By incorporating tools such as log-barrier penalty functions to address...

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Published in:International Conference on Control, Mechatronics and Automation (Online) pp. 7 - 13
Main Authors: Ebrahimi, Zeinab, Deghat, Mohammad
Format: Conference Proceeding
Language:English
Published: IEEE 11.11.2024
Subjects:
Convergence
Cost function
Distributed time-varying optimization
disturbances
Heuristic algorithms
Mechatronics
Multi-agent systems
Numerical simulation
Prevention and mitigation
Robustness
Sliding mode control
time-varying constraints
Time-varying systems
ISSN:2837-5149
Online Access:Get full text
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Abstract This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and constraints in multi-agent systems, particularly those subject to disturbances. By incorporating tools such as log-barrier penalty functions to address inequality constraints, an integral sliding mode control for disturbance mitigation is proposed. The algorithm ensures asymptotic tracking of the optimal solution, achieving a tracking error of zero. The convergence of the introduced algorithms is demonstrated through Lyapunov analysis and nonsmooth techniques. Furthermore, the framework's effectiveness is validated through numerical simulations considering two scenarios for the communication networks.
AbstractList This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and constraints in multi-agent systems, particularly those subject to disturbances. By incorporating tools such as log-barrier penalty functions to address inequality constraints, an integral sliding mode control for disturbance mitigation is proposed. The algorithm ensures asymptotic tracking of the optimal solution, achieving a tracking error of zero. The convergence of the introduced algorithms is demonstrated through Lyapunov analysis and nonsmooth techniques. Furthermore, the framework's effectiveness is validated through numerical simulations considering two scenarios for the communication networks.
Author Ebrahimi, Zeinab
Deghat, Mohammad
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  givenname: Mohammad
  surname: Deghat
  fullname: Deghat, Mohammad
  email: m.deghat@unsw.edu.au
  organization: University of New South Wales,School of Mechanical and Manufacturing Engineering,Sydney,Australia
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Snippet This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and...
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StartPage 7
SubjectTerms Convergence
Cost function
Distributed time-varying optimization
disturbances
Heuristic algorithms
Mechatronics
Multi-agent systems
Numerical simulation
Prevention and mitigation
Robustness
Sliding mode control
time-varying constraints
Time-varying systems
Title Distributed Robust Continuous-Time Optimization Algorithms for Time-Varying Constrained Cost Functions
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