Distributed Continuous-time Resource Allocation with Time-varying Resources under Quadratic Cost Functions

Bai, Liang; Sun, Chao; Feng, Zhi; Hu, Guoqiang

doi:10.1109/cdc.2018.8619295

Cited by 24 publications

(16 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is known that the most current works about the distributed resource allocation problem are based on discrete‐time multi‐agent systems. However, with the development of cyber‐physical systems and the well‐developed continuous‐time control techniques, the continuous‐time distributed optimization algorithms have attracted much attention recently [20–27]. Moreover, the continuous‐time multi‐agent systems correspond to the steepest descent direction of the local cost function.…”

Section: Introductionmentioning

confidence: 99%

An exponentially convergent distributed algorithm for resource allocation problem

Shi

Zheng

Lin

et al. 2020

Asian Journal of Control

View full text Add to dashboard Cite

In this paper, the distributed resource allocation problem over undirected networks, considering box constraints and demand–supply constraints, is studied. Furthermore, each agent has one private cost function that is only known by itself. The aim is to minimize the sum of all local cost functions in a distributed manner while meeting the constraints. To solve the dispatch problem, a continuous‐time distributed algorithm with fixed step‐size is proposed. After that, a modified distributed algorithm of discrete‐time multi‐agent system is provided. Moreover, the proposed algorithms obtain the global optimal solution with an exponential convergence speed by the conventional Lyapunov methods. Finally, several simulations of IEEE‐14 bus are presented to validate and illustrate the proposed designed algorithm.

show abstract

Section: Introductionmentioning

confidence: 99%

An exponentially convergent distributed algorithm for resource allocation problem

Shi

Zheng

Lin

et al. 2020

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

“…Nonetheless, the results in the above literature focus on the time-invariant loads, but the time-varying loads are commonly encountered in many practical applications. There are few results on time-varying loads [22][23][24]. The authors of [22] presented a distributed coordination algorithm which was able to track time-varying loads.…”

Section: Introductionmentioning

confidence: 99%

Distributed economic dispatch for power generation with time‐varying loads and external disturbances

Huang

Cui

Meng

et al. 2020

IET Control Theory & Appl

View full text Add to dashboard Cite

The distributed economic dispatch problem for power generation in electricity grids is studies. A simple centralised algorithm is designed to obtain the solution of the dispatch problem without the external disturbances. Inspired by the centralised algorithm, a distributed algorithm is presented using the distributed average tracking algorithm. As far as we know, the proposed algorithm is the first one that is capable of time‐varying loads and external disturbances while the tracking errors are asymptotic convergent. Simulations on the IEEE 14‐BUS system are provided to validate the theoretical results.

show abstract

“…Penalty functions are often used to deal with inequality constraints by incorporating the inequality constraints into the objective function. To deal with the local allocation feasibility constraint and gain access to the gradient based minimization techniques, a smooth penalty function p i : R → R is used to punish the violation on the constraint y ≤ 0 [136]…”

Section: With Local Allocation Feasibility Constraint Under Strongly Convex Objective Functionsmentioning

confidence: 99%

“…Since the problem in (5.1) is convex and the constraints are linear, the optimal values of the Lagrange multipliers are bounded [15]. If κ > max{α * i , β * i } for i = 1, ..., n and t ≥ 0, the following condition hold [136] f…”

Section: Distributed Ra With Time-varying Resourcesmentioning

confidence: 99%

See 1 more Smart Citation

Distributed resource allocation algorithm design and its application to economic dispatch in smart grids

Bai¹

Self Cite

View full text Add to dashboard Cite

2019my supervisor, Prof. Guoqiang Hu, for his invaluable guidance and continuous support throughout my Ph.D study. His insightful suggestions and generous help have enlightened my research journey. Under his guidance, my thinking towards problems becomes deeper and broader. I also learned a lot from his high standard and rigorous attitude toward research, which will benefit me in all my life.My sincere thanks to my lab mates for their friendship, helpful discussions, and encouragement. Thanks to my friends who play badminton and do sports together with me at NTU. They made my study and life more meaningful and enjoyable.Last but not least, special thanks to my beloved parents and sister, for their endless love, encouragement, and support all the time.

show abstract

Distributed Continuous-time Resource Allocation with Time-varying Resources under Quadratic Cost Functions

Cited by 24 publications

References 17 publications

An exponentially convergent distributed algorithm for resource allocation problem

An exponentially convergent distributed algorithm for resource allocation problem

Distributed economic dispatch for power generation with time‐varying loads and external disturbances

Distributed resource allocation algorithm design and its application to economic dispatch in smart grids

Contact Info

Product

Resources

About