Sliding-mode-based robust predefined-time optimization for single-integrator systems

In this article, a novel class of fully distributed practical predefined-time algorithms (FDPPTAs) is developed for three types of convex optimization problems of single-integrator systems with bounded disturbances. The task of this work is to reach an optimal state that minimizes the global cost fu...

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Vydáno v:	Nonlinear dynamics Ročník 112; číslo 23; s. 21241 - 21255
Hlavní autoři:	Chen, Siyu, Jiang, Haijun, Yu, Zhiyong, Zhao, Fengyang
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Dordrecht Springer Netherlands 01.12.2024 Springer Nature B.V
Témata:	Algorithms Automotive Engineering Classical Mechanics Constraints Control Convexity Cost function Dynamical Systems Engineering Integrators Linear functions Mechanical Engineering Optimization Original Paper Penalty function Robustness (mathematics) Sliding mode control Vibration Bounded disturbances Integral sliding mode control Fully distributed practical predefined-time algorithm Optimization Initialization-free
ISSN:	0924-090X, 1573-269X
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Abstract	In this article, a novel class of fully distributed practical predefined-time algorithms (FDPPTAs) is developed for three types of convex optimization problems of single-integrator systems with bounded disturbances. The task of this work is to reach an optimal state that minimizes the global cost function expressed by the sum of all convex local cost functions. Firstly, a two-stage robust FDPPTA, combined with two time-varying functions, zero-gradient-sum and integral sliding mode control, is constructed to solve the unconstrained optimization problem. Secondly, a two-stage robust FDPPTA is applied to the case with linear equality constraint by introducing auxiliary variables. On this basis, the exact penalty function is further introduced to deal with the difficulties caused by linear inequality constraint. Unlike the existing optimization algorithms, the developed FDPPTA, which does not rely on any global information, shows excellent performance from the three aspects of robustness, initialization-free and predefined-time. Finally, four cases are given to verify the effectiveness and superiority of proposed algorithms.
AbstractList	In this article, a novel class of fully distributed practical predefined-time algorithms (FDPPTAs) is developed for three types of convex optimization problems of single-integrator systems with bounded disturbances. The task of this work is to reach an optimal state that minimizes the global cost function expressed by the sum of all convex local cost functions. Firstly, a two-stage robust FDPPTA, combined with two time-varying functions, zero-gradient-sum and integral sliding mode control, is constructed to solve the unconstrained optimization problem. Secondly, a two-stage robust FDPPTA is applied to the case with linear equality constraint by introducing auxiliary variables. On this basis, the exact penalty function is further introduced to deal with the difficulties caused by linear inequality constraint. Unlike the existing optimization algorithms, the developed FDPPTA, which does not rely on any global information, shows excellent performance from the three aspects of robustness, initialization-free and predefined-time. Finally, four cases are given to verify the effectiveness and superiority of proposed algorithms.
Author	Jiang, Haijun Zhao, Fengyang Chen, Siyu Yu, Zhiyong
Author_xml	– sequence: 1 givenname: Siyu surname: Chen fullname: Chen, Siyu organization: College of Mathematics and System Sciences, Xinjiang University – sequence: 2 givenname: Haijun orcidid: 0000-0002-0310-6842 surname: Jiang fullname: Jiang, Haijun email: jianghaijunxju@163.com, jianghai@xju.edu.cn, jianghaijunxj@sina.com organization: College of Mathematics and System Sciences, Xinjiang University, School of Mathematics and Statistics at Yili Normal University – sequence: 3 givenname: Zhiyong surname: Yu fullname: Yu, Zhiyong organization: College of Mathematics and System Sciences, Xinjiang University – sequence: 4 givenname: Fengyang surname: Zhao fullname: Zhao, Fengyang organization: College of Mathematics and System Sciences, Xinjiang University
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Snippet	In this article, a novel class of fully distributed practical predefined-time algorithms (FDPPTAs) is developed for three types of convex optimization problems...
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SubjectTerms	Algorithms Automotive Engineering Classical Mechanics Constraints Control Convexity Cost function Dynamical Systems Engineering Integrators Linear functions Mechanical Engineering Optimization Original Paper Penalty function Robustness (mathematics) Sliding mode control Vibration
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Title	Sliding-mode-based robust predefined-time optimization for single-integrator systems
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