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Neurodynamic Optimization Approaches with Finite/Fixed-Time Convergence for Absolute Value Equations
Neural Networks, 2023This paper proposes three novel accelerated inverse-free neurodynamic approaches to solve absolute value equations (AVEs). The first two are finite-time converging approaches and the third one is a fixed-time converging approach. It is shown that the proposed first two neurodynamic approaches converge to the solution of the concerned AVEs in a finite ...
Xingxing Ju +3 more
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Adaptive fixed-time convergent super-twisting-like control
2016 American Control Conference (ACC), 2016This paper presents an adaptive gain algorithm for second order sliding mode control (2-SMC), specifically a super-twisting (STW)-like controller, with fixed convergence time, against perturbations with unknown bounds. The Lyapunov-based 2-SMC adaptive algorithm guarantees reduction of the adaptive gain and provides minimal gain overestimation of the ...
Michael Basin +2 more
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Nonsmooth Extremum Seeking Control With User-Prescribed Fixed-Time Convergence
IEEE Transactions on Automatic Control, 2021This paper introduces a new class of non-smooth extremum seeking controllers (ESCs) with convergence bounds given by class- $\mathcal{K}\mathcal{L}$ functions that have a uniformly bounded settling time. These ESCs are characterized by nominal average systems that render \emph{uniformly globally fixed-time stable} (UGFxTS) the set of minimizers of ...
Jorge I. Poveda, Miroslav Krstic
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Stock Management Problem: Adaptive Fixed-Time Convergent Continuous Controller Design
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020This paper presents an adaptive fixed-time convergent continuous controller designed to solve a stock management problem with the objective to drive stock and supply chain levels at the reference values, subject to loss rate disturbances whose bounds are unknown.
Michael V. Basin +2 more
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Three‐Dimensional Impact Angle Constrained Guidance Laws with Fixed‐Time Convergence
Asian Journal of Control, 2017AbstractIn this paper, three dimensional coupled engagement dynamics are firstly transformed into a state‐space form without decoupling three dimensional engagement dynamics into two mutually orthogonal planes to avoid degrading the performance of the guidance law.
Gao, Jiwei, Cai, Yuan-Li
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Observer-Based Leader-Follower Consensus Tracking with Fixed-time Convergence
2020 17th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), 2020This paper addresses the problem of consensus tracking with fixed-time convergence, for leader-follower multi-agent systems with double-integrator dynamics, where only a subset of followers has access to the state of the leader. The control scheme is divided into three steps.
Trujillo, Miguel +4 more
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Neurodynamic Network for Absolute Value Equations: A Fixed-Time Convergence Technique
IEEE Transactions on Circuits and Systems II: Express Briefs, 2022In this paper, a novel projection neurodynamic network with fixed-time convergence is proposed for solving absolute value equations. In contrast to most existing projection neurodynamic networks, a conservative convergence time of the proposed projection neurodynamic network is presented. It is shown that the solution of the proposed approach converges
Xingxing Ju +3 more
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Finite- and fixed-time convergent algorithms: Design and convergence time estimation
Annual Reviews in Control, 2019Abstract This paper presents a review of finite- and fixed-time convergent algorithms for dynamic systems of various dimensions and relative degrees, with or without disturbances. The review mainly focuses on finite- and fixed-time convergent algorithms, which provide explicit and easily computable upper estimates for the corresponding convergence ...
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Initialization-Free Distributed Fixed-Time Convergent Algorithms for Optimal Resource Allocation
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022This article considers the distributed fixed-time resource allocation problem subject to global equality and local inequality constraints. In the case that the optimal solutions are strictly feasible, a projection-gradient-based continuous-time algorithm is first proposed to minimize a team of cost functions in the fixed time. As some optimal solutions
Gang Chen, Zhijun Guo
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