Input-Feedforward-Passivity-Based Distributed Optimization Over Jointly Connected Balanced Digraphs
Li, Mengmou1; Chesi, Graziano1; Hong, Yiguang2,3
AbstractIn this article, a distributed optimization problem is investigated via input feedforward passivity. First, an input-feedforward-passivity-based continuous-time distributed algorithm is proposed. It is shown that the error system of the proposed algorithm can be decomposed into a group of individual input feedforward passive (IFP) systems that interact with each other using output feedback information. Based on this IFP framework, convergence conditions of a suitable coupling gain are derived over weight-balanced and uniformly jointly strongly connected topologies. It is also shown that the IFP-based algorithm converges exponentially when the topology is strongly connected. Second, a novel distributed derivative feedback algorithm is proposed based on the passivation of IFP systems. While most works on directed topologies require knowledge of eigenvalues of the graph Laplacian, the derivative feedback algorithm is fully distributed, namely, it is robust against randomly changing weight-balanced digraphs with any positive coupling gain and without knowing any global information. Finally, numerical examples are presented to illustrate the proposed distributed algorithms.
KeywordTopology Distributed algorithms Optimization Feedforward systems Output feedback Convergence Couplings Continuous-time algorithms derivative feedback input feedforward passivity uniformly jointly strongly connected (UJSC) topologies weight-balanced digraphs
Indexed BySCI
Funding ProjectNational Natural Science Foundation of China[61733018]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000690441100019
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Document Type期刊论文
Corresponding AuthorLi, Mengmou
Affiliation1.Univ Hong Kong, Dept Elect & Elect Engn, Hong Kong, Peoples R China
2.Tongji Univ, Dept Control Sci & Engn, Shanghai 201804, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Li, Mengmou,Chesi, Graziano,Hong, Yiguang. Input-Feedforward-Passivity-Based Distributed Optimization Over Jointly Connected Balanced Digraphs[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2021,66(9):4117-4131.
APA Li, Mengmou,Chesi, Graziano,&Hong, Yiguang.(2021).Input-Feedforward-Passivity-Based Distributed Optimization Over Jointly Connected Balanced Digraphs.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,66(9),4117-4131.
MLA Li, Mengmou,et al."Input-Feedforward-Passivity-Based Distributed Optimization Over Jointly Connected Balanced Digraphs".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 66.9(2021):4117-4131.
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