Angle-Based Analysis Approach for Distributed Constrained Optimization

Lin, Peng; Xu, Jiahao; Ren, Wei; Yang, Chunhua; Gui, Weihua

doi:10.1109/tac.2021.3054072

Cited by 13 publications

(4 citation statements)

References 20 publications

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“…In Ref. [17], nonuniform stepsizes are considered, whereas the stepsizes are given in the form of square root which is a special case of ours. Second, the communication graphs considered are jointly strongly connected.…”

Section: Main Theoremmentioning

confidence: 99%

Distributed optimization for discrete-time multiagent systems with nonconvex control input constraints and switching topologies*

2021

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This paper addresses the distributed optimization problem of discrete-time multiagent systems with nonconvex control input constraints and switching topologies. We introduce a novel distributed optimization algorithm with a switching mechanism to guarantee that all agents eventually converge to an optimal solution point, while their control inputs are constrained in their own nonconvex region. It is worth noting that the mechanism is performed to tackle the coexistence of the nonconvex constraint operator and the optimization gradient term. Based on the dynamic transformation technique, the original nonlinear dynamic system is transformed into an equivalent one with a nonlinear error term. By utilizing the nonnegative matrix theory, it is shown that the optimization problem can be solved when the union of switching communication graphs is jointly strongly connected. Finally, a numerical simulation example is used to demonstrate the acquired theoretical results.

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Section: Main Theoremmentioning

confidence: 99%

Distributed optimization for discrete-time multiagent systems with nonconvex control input constraints and switching topologies*

2021

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“…Convex or nonconvex‐constrained systems have been addressed in References 23–26,30,34–37. For example, Reference 23 dealt with the input‐constrained consensus problem for double‐integrator dynamics by constructing the auxiliary system and exploiting the properties of undirected graph.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time consensus for multi‐agent systems with directed dynamically changing topologies

Yang

2023

Intl J Robust & Nonlinear

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Due to the complexity of communication topologies, only a few works addressed the issues of finite‐time convergence for multi‐agent systems with directed switching topologies, whose analyses might be unclear and some assumptions seem to be a bit strong. In this study, finite‐time consensus of continuous‐time nonconvex‐constrained multi‐agent systems with directed dynamically changing topologies is addressed. Firstly, a distributed finite‐time consensus algorithm is introduced for continuous‐time multi‐agent systems. It is proved that agents will achieve consensus in finite time as long as the graphs have a joint spanning tree. Subsequently, we consider a constrained system whose control inputs are subjected to nonconvex sets and give a distributed nonsmooth finite‐time consensus algorithm. It is proved that consensus can be achieved in finite time while keeping agents' control inputs staying in the constraint sets. Furthermore, the distributed consensus algorithm is extended to the case with disturbances and the sufficient conditions are given to guarantee the achievement of consensus in finite time. Finally, numerical examples are included to demonstrate the effectiveness of theoretical conclusions.

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“…Article 10 proposed a delay-dependent robust H ∞ control criterion for the velocity tracking control of high-speed trains based on Lyapunov stability theory. In contrast to the above studies, where the centralized control scheme is adopted, some researchers have begun to study the distributed cooperative mechanism among multiple trains [12][13][14][15][16][17][18][19][20][21][22][23][24][25] . For example, article 16 built the model of high-speed trains as a cascade of point masses connected by flexible couplers and proposed a distributed control mechanism to guarantee all the trains to track a desired velocity while keeping a safe distance between neighboring trains.…”

Section: Introductionmentioning

confidence: 99%

“…Article 20 proposed a novel scaling factor method to solve the problem of consensus of second-order multiagent systems with velocity constraints. Based on 20 , articles 21,22 studied the distributed velocity and control input constrained tracking control problem of high-speed train system.…”

Section: Introductionmentioning

confidence: 99%

Cooperative control for multiple high‐speed trains with constraints and acceleration zone under moving block system

Tian

Lin

2022

Intl J Robust & Nonlinear

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This article investigates a cooperative control problem with acceleration zone and constraints for multiple high-speed trains under moving block system. A distributed cooperative control algorithm is proposed where a switching mechanism and acceleration zone are introduced to reduce the cost of the operation adjustment and the communication between trains. Based on the properties of stochastic matrices, by selecting proper control parameters and applying the approach of model transformation and convex analysis, it is shown that the cooperative control problem can be solved if the communication topology has directed spanning trees. Finally, a numerical example is included to illustrate the obtained results.

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Angle-Based Analysis Approach for Distributed Constrained Optimization

Cited by 13 publications

References 20 publications

Distributed optimization for discrete-time multiagent systems with nonconvex control input constraints and switching topologies*

Distributed optimization for discrete-time multiagent systems with nonconvex control input constraints and switching topologies*

Finite‐time consensus for multi‐agent systems with directed dynamically changing topologies

Cooperative control for multiple high‐speed trains with constraints and acceleration zone under moving block system

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