Event-Triggered Quantized Communication-Based Distributed Convex Optimization
A NOVEL distributed algorithm based on multiple agents with continuous-time dynamics is proposed for a convex optimization problem where the objective function is the summation of local objective functions and the state of each agent is subject to a convex constraint set. Considering the limited ban...
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| Veröffentlicht in: | IEEE transactions on control of network systems Jg. 5; H. 1; S. 167 - 178 |
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| Sprache: | Englisch |
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01.03.2018
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| ISSN: | 2325-5870, 2372-2533 |
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| Abstract | A NOVEL distributed algorithm based on multiple agents with continuous-time dynamics is proposed for a convex optimization problem where the objective function is the summation of local objective functions and the state of each agent is subject to a convex constraint set. Considering the limited bandwidth of the communication channels, we introduce a dynamic quantizer for each agent. To further save on communication costs, we develop an event-based broadcasting scheme for each agent. In comparison with algorithms that rely on continuous communication, the proposed algorithm serves to save communication expenditure by exploiting temporal and spatial aspects. Though a joint design of dynamic quantizers and event-trigger functions are under mild conditions, the states of the agents asymptotically approach the global optimal point with an adjustable error bound without incurring Zeno behavior. |
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| AbstractList | A NOVEL distributed algorithm based on multiple agents with continuous-time dynamics is proposed for a convex optimization problem where the objective function is the summation of local objective functions and the state of each agent is subject to a convex constraint set. Considering the limited bandwidth of the communication channels, we introduce a dynamic quantizer for each agent. To further save on communication costs, we develop an event-based broadcasting scheme for each agent. In comparison with algorithms that rely on continuous communication, the proposed algorithm serves to save communication expenditure by exploiting temporal and spatial aspects. Though a joint design of dynamic quantizers and event-trigger functions are under mild conditions, the states of the agents asymptotically approach the global optimal point with an adjustable error bound without incurring Zeno behavior. |
| Author | Shuai Liu Quevedo, Daniel E. Lihua Xie |
| Author_xml | – sequence: 1 surname: Shuai Liu fullname: Shuai Liu email: lius0025@ntu.edu.sg organization: Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China – sequence: 2 surname: Lihua Xie fullname: Lihua Xie email: elhxie@ntu.edu.sg organization: Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore – sequence: 3 givenname: Daniel E. surname: Quevedo fullname: Quevedo, Daniel E. email: dquevedo@ieee.org organization: Dept. of Electr. Eng. (EIM-E), Paderborn Univ., Paderborn, Germany |
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| SubjectTerms | Algorithm design and analysis Broadcasting Communication networks Convex functions Distributed algorithms distributed algorithms/control event trigger Heuristic algorithms Optimization quantization Quantization (signal) |
| Title | Event-Triggered Quantized Communication-Based Distributed Convex Optimization |
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