2024 |
Hyungbo Shim How Does a Swarm Exhibit Emergent Behavior Through Synchronization? Journal Article In: Journal of Institute of Control, Robotics and Systems, vol. 30, iss. 4, pp. 352, 2024, ISSN: 1976-5622. Abstract | Links | BibTeX | Tags: Blended dynamics, Multi-agent systems, Synchronization @article{nokey, A swarm of individuals often exhibits behaviors that are not possible for each individual. This phenomenon is called emergence, and this paper mathematically demonstrates that new dynamics can arise in swarm behavior that cannot be explained by the dynamics of individuals. In particular, we argue that emergence occurs when heterogeneity is coupled with synchronization. These two concepts may seem conflicting, as heterogeneity is the tendency to differ whereas synchronization is the tendency toward sameness. However, we show that emergent behavior arises from the interplay between the two. |
2022 |
Jin Gyu Lee / Stephan Trenn / Hyungbo Shim Synchronization with prescribed transient behavior: Heterogeneous multi-agent systems under funnel coupling Journal Article In: Automatica, vol. 141, pp. 110276, 2022, ISSN: 0005-1098. Abstract | Links | BibTeX | Tags: Funnel control, Heterogeneous multi-agents, Multi-agent systems, Synchronization @article{nokey, In this paper, we introduce a nonlinear time-varying coupling law, which can be designed in a fully decentralized manner and achieves approximate synchronization with arbitrary precision, under only mild assumptions on the individual vector fields and the underlying (undirected) graph structure. The proposed coupling law is motivated by the so-called funnel control method studied in adaptive control under the observation that arbitrary precision synchronization can be achieved for heterogeneous multi-agent systems by a high-gain coupling; consequently we call our novel synchronization method ‘(node-wise) funnel coupling.’ By adjusting the conventional proof technique in the funnel control study, we are even able to obtain asymptotic synchronization with the same funnel coupling law. Moreover, the emergent collective behavior that arises for a heterogeneous multi-agent system when enforcing arbitrary precision synchronization by the proposed funnel coupling law, is analyzed in this paper. In particular, we introduce a single scalar dynamics called ‘emergent dynamics’ which describes the emergent synchronized behavior of the multi-agent system under funnel coupling. Characterization of the emergent dynamics is important because, for instance, one can design the emergent dynamics first such that the solution trajectory behaves as desired, and then, provide a design guideline to each agent so that the constructed vector fields yield the desired emergent dynamics. We illustrate this idea via the example of a distributed median solver based on funnel coupling. |
2020 |
Seungjoon Lee / Hongkeun Kim Synchronization of Lur'e-type Nonlinear Systems using Incremental Output-feedback Passivity with Shortage of Passivity Proceedings Article In: Proc. of 20th International Conference on Control, Automation and Systems (ICCAS), IEEE, Busan, Korea, 2020. Abstract | Links | BibTeX | Tags: Multi-agent systems, Passivity, Synchronization @inproceedings{LeeKim20, This paper studies the synchronization problem of Lur’e-type nonlinear systems. For the analysis, the concept of incremental output-feedback passivity (iOFP) is introduced and generalized using the shortage of passivity. It is shown that Lur’e-type nonlinear system is iOFP and examples are presented. Using iOFP, a sufficient condition (which is in form of sector condition) is proposed for the Lur’e-type nonlinear systems to achieve the synchronization using static output diffusive couplings. Results are further extended to nonlinear coupling under fully connected network. Numerical simulations are given to demonstrate the proposed results. |
Jin Gyu Lee/ Hyungbo Shim A Tool for Analysis and Synthesis of Heterogeneous Multi-agent Systems under Rank-deficient Coupling Journal Article In: Automatica, vol. 117, pp. 108952, 2020, ISSN: 0005-1098. Abstract | Links | BibTeX | Tags: Blended dynamics, Heterogeneous multi-agents, Singular perturbation, Synchronization @article{Lee20, The behavior of heterogeneous multi-agent systems is studied when the coupling matrices are possibly all different and/or singular, that is, its rank is less than the system dimension. Rank-deficient coupling allows exchange of limited state information, which is suitable for the study of multi-agent systems under output coupling. We present a coordinate change that transforms the heterogeneous multi-agent system into a singularly perturbed form. The slow dynamics is still a reduced-order multi-agent system consisting of a weighted average of the vector fields of all agents, and some sub-dynamics of agents. The weighted average is an emergent dynamics, which we call a blended dynamics. By analyzing or synthesizing the blended dynamics, one can predict or design the behavior of a heterogeneous multi-agent system when the coupling gain is sufficiently large. For this result, stability of the blended dynamics is required. Since stability of the individual agent is not asked, the stability of the blended dynamics is the outcome of trading off the stability among the agents. It can be seen that, under the stability of the blended dynamics, the initial conditions of the individual agents are forgotten as time goes on, and thus, the behavior of the synthesized multi-agent system is initialization-free and is suitable for plug-and-play operation. As a showcase, we apply the proposed tool to four application problems; distributed state estimation for linear systems, practical synchronization of heterogeneous van der Pol oscillators, estimation of the number of nodes in a network, and a problem of distributed optimization. |
2019 |
Hyeonjun Yun / Hyungbo Shim / Hyo-Sung Ahn Initialization-free Privacy-guaranteed Distributed Algorithm for Economic Dispatch Problem Journal Article In: Automatica, vol. 102, pp. 86-93, 2019. Abstract | Links | BibTeX | Tags: Blended dynamics, Synchronization @article{YunShimAhn19, This paper considers the economic dispatch problem for a network of power generators and customers. In particular, our aim is to minimize the total generation cost under the power supply-demand balance and the individual generation capacity constraints. This problem is solved in a distributed manner, i.e., a dual gradient-based continuous-time distributed algorithm is proposed in which only a single dual variable is communicated with the neighbors and no private information of the node is disclosed. The proposed algorithm is simple and no specific initialization is necessary, and this in turn allows on-line change of network structure, demand, generation constraints, and even the participating nodes. The algorithm also exhibits a special behavior when the problem becomes infeasible so that each node can detect over-demand or under-demand situation of the power network. Simulation results on IEEE 118 bus system confirm robustness against variations in power grids. |
2018 |
Seungjoon Lee / Hyeonjun Yun / Hyungbo Shim Practical Synchronization of Heterogeneous Multi-agent System Using Adaptive Law for Coupling Gains Proceedings Article In: Proc. of 2018 Annual American Control Conference (ACC), IEEE, Milwaukee, WI, USA, 2018. Abstract | Links | BibTeX | Tags: Synchronization @inproceedings{LeeYunShim18, Practical synchronization of the heterogeneous multi-agent system is studied in this paper. In particular, we propose an adaptive law to adjust the coupling gains to achieve practical synchronization in a fully distributed manner without the need of any global information such as the total number of agents in the network or the algebraic connectivity of the communication topology. In addition, a distributed protocol is proposed such that the performance of practical synchronization becomes independent of any global information as well as the addition of new agent. |
2017 |
Hyeonjun Yun / Seungjoon Lee / Hyungbo Shim Consensus-based Distributed Coordination for Optimal Energy Generation of Hierarchical Systems Proceedings Article In: Proc. of 56th Annual Conference of the Society of Instrument and Control Engineers (SICE), pp. 871-876, Kanazawa, Japan, 2017. Abstract | Links | BibTeX | Tags: Distributed optimization, Multi-agent system, Power grids, Synchronization @inproceedings{YunLeeShim17, This paper considers the optimal energy generation problem for hierarchical system, which consists of multi-cluster power system. In particular, consensus-based distributed hierarchical coordination algorithm is proposed to meet the power generation/demand balance. By using Lagrangian-based approach, we show that the optimization problem for the hierarchical system can be separated into each layer's consensus problem with communication between each layer's leader agent. The convergence is proved in the sense of global practical stability by the singular perturbation theory. Simulation result shows that the solution obtained by the proposed algorithm converges to the optimal solution. |
2016 |
Jaeyong Kim / Jongwook Yang / Hyungbo Shim / Jung-Su Kim / Jin Heon Seo Robustness of Synchronization of Heterogeneous Agents by Strong Coupling and a Large Number of Agents Journal Article In: IEEE Transactions on Automatic Control, vol. 61, no. 10, pp. 3096-3102, 2016. Abstract | Links | BibTeX | Tags: Blended dynamics, Heterogeneity, Multi-agent system, Synchronization @article{KimYangShimKimSeo16, This technical note studies robustness of synchronization against heterogeneity of multi-agent systems. Here, heterogeneity also includes uncertainties and external disturbances in each agent. In order to effectively deal with the heterogeneous agents, we introduce the concept of the averaged dynamics which is the average of all agents’ dynamics, and then claim that two sources enhance the robustness of synchronized behavior against heterogeneity of agents’ dynamics. First, in spite of the heterogeneity of agents’ dynamics, we show that strong coupling among agents makes the trajectories of all agents arbitrarily close to the averaged dynamics. Second, in the averaged dynamics, the effect of variations in each agent gets smaller as the number of agents increases. Simulation results confirm the claim that a large number of agents with strong couplings have robust synchronization. |
Hongkeun Kim / Seongjun Kim / Juhoon Back / Hyungbo Shim / Jin Heon Seo Design of Stable Parallel Feedforward Compensator and its Application to Synchronization Problem Journal Article In: Automatica, vol. 64, pp. 208-216, 2016. Abstract | Links | BibTeX | Tags: Multi-agent system, Non-minimum phase, Parallel feedforward compensator, Synchronization @article{KimKimBackShimSeo16, This paper addresses the design problem of a stable parallel feedforward compensator V for a given SISO LTI plant P (possibly being of non-minimum phase and/or having relative degree greater than one). The objective of the problem is that their parallel interconnection P+V becomes minimum phase having relative degree one. Based on the classical results of simultaneous stabilization, a necessary and sufficient condition for solving the problem is presented as well as a design procedure for constructing such a compensator. The proposed feedforward compensator allows the control system to have the three useful features: (1) the ability that assigns the zeros of P+V to a region of complex numbers having arbitrary negative real parts, (2) infinite gain margin property of P+V controlled by a static output feedback, and (3) block diagonal structure of P+V. These features are extensively exploited in the synchronization problem of multi-agent systems to achieve arbitrary fast convergence rate and to have the synchronized trajectory independent of the initial conditions and parameters of the involved dynamic controllers. |
2015 |
Jaeyong Kim / Hyungbo Shim Robust Synchronization for High-Order Heterogeneous Multi-Agent Systems Proceedings Article In: Proc. of SWARM 2015: The First International Symposium on Swarm Behavior and Bio-Inspired Robotics, pp. 293-294, Kyoto, Japan, 2015. Abstract | BibTeX | Tags: Blended dynamics, Multi-agent system, Synchronization @inproceedings{KimShim15b, This paper studies robustness of synchronization for high-order heterogeneous multi-agent systems. Using the concept of the averaged dynamics, it is claimed that two sources enhance the robustness of synchronized behavior against heterogeneity of agents’ dynamics. First, strongly coupled network makes each behavior of heterogeneous agent close to that of the averaged dynamics. Second, we observe that the averaged dynamics becomes more robust against individual variation as the number of agents increases. Simulation result confirms our claim that a large number of agents with strong coupling have robust synchronization. |
List of English Publication
2024 |
How Does a Swarm Exhibit Emergent Behavior Through Synchronization? Journal Article In: Journal of Institute of Control, Robotics and Systems, vol. 30, iss. 4, pp. 352, 2024, ISSN: 1976-5622. |
2022 |
Synchronization with prescribed transient behavior: Heterogeneous multi-agent systems under funnel coupling Journal Article In: Automatica, vol. 141, pp. 110276, 2022, ISSN: 0005-1098. |
2020 |
Synchronization of Lur'e-type Nonlinear Systems using Incremental Output-feedback Passivity with Shortage of Passivity Proceedings Article In: Proc. of 20th International Conference on Control, Automation and Systems (ICCAS), IEEE, Busan, Korea, 2020. |
A Tool for Analysis and Synthesis of Heterogeneous Multi-agent Systems under Rank-deficient Coupling Journal Article In: Automatica, vol. 117, pp. 108952, 2020, ISSN: 0005-1098. |
2019 |
Initialization-free Privacy-guaranteed Distributed Algorithm for Economic Dispatch Problem Journal Article In: Automatica, vol. 102, pp. 86-93, 2019. |
2018 |
Practical Synchronization of Heterogeneous Multi-agent System Using Adaptive Law for Coupling Gains Proceedings Article In: Proc. of 2018 Annual American Control Conference (ACC), IEEE, Milwaukee, WI, USA, 2018. |
2017 |
Consensus-based Distributed Coordination for Optimal Energy Generation of Hierarchical Systems Proceedings Article In: Proc. of 56th Annual Conference of the Society of Instrument and Control Engineers (SICE), pp. 871-876, Kanazawa, Japan, 2017. |
2016 |
Robustness of Synchronization of Heterogeneous Agents by Strong Coupling and a Large Number of Agents Journal Article In: IEEE Transactions on Automatic Control, vol. 61, no. 10, pp. 3096-3102, 2016. |
Design of Stable Parallel Feedforward Compensator and its Application to Synchronization Problem Journal Article In: Automatica, vol. 64, pp. 208-216, 2016. |
2015 |
Robust Synchronization for High-Order Heterogeneous Multi-Agent Systems Proceedings Article In: Proc. of SWARM 2015: The First International Symposium on Swarm Behavior and Bio-Inspired Robotics, pp. 293-294, Kyoto, Japan, 2015. |