Development of Interconnection of 2-Dimensional Adaptive Oscillators and its Applications to Engineering Systems

• Project/Area Number: 21760324
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Control engineering
• Research Institution: Tokyo Institute of Technology
• Principal Investigator: HAYAKAWA Tomohisa Tokyo Institute of Technology, 大学院・情報理工学研究科, 准教授 (30432008)
• Project Period (FY): 2009 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000); Fiscal Year 2010: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000); Fiscal Year 2009: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
• Keywords: 同期制御 / アファインシステム / ネットワーク制御 / 制御工学 / モデル化 / 同期 / 分散制御

Research Abstract

In this proposed research, a method for analysis and synthesis of networked low-dimensional nonlinear oscillators that are synchronized on the plane is developed. Specifically, in the network of piecewise affine dynamics, bifurcation properties by changing system dynamics are investigated for nonlinear periodic orbits. It turns out that Hopf bifurcation and saddle-node bifurcation occurs by changing the affine terms of the subsystems.

Research Products

• [Journal Article] Adaptive quantized control for nonlinear uncertain systems (2009)
  • Author(s): T.Hayakawa, H.Ishii, K.Tsumura
  • Journal Title: Systems and Control Letters vol.58, no.9 Pages: 625-632
  • Peer Reviewed
• [Journal Article] LTI systems with generalized frequency variables : A unified framework for homogeneous multi-agent dynamical systems (2009)
  • Author(s): S.Hara, T.Hayakawa, H.Sugata
  • Journal Title: SICE J.Contr.Meas.Sys.Integr. vol.2, no.5 Pages: 299-306
  • NAID: 10031152654
  • Peer Reviewed
• [Journal Article] Using congestion graphs to analyze the stability of network congestion control (2009)
  • Author(s): D.Hobson-Garcia, T.Hayakawa
  • Journal Title: Int.J.Intel.Contr.Syst. vol.14, no.2 Pages: 125-133
  • Peer Reviewed
• [Journal Article] Adaptive quantized control for nonlinear uncertain systems (2009)
  • Author(s): T.Hayakawa, H.Ishii, K.Tsumura
  • Journal Title: Systems and Control Letters 58 Pages: 625-632
  • Peer Reviewed
• [Journal Article] LTI systems with generalized frequency variables : A unified framework for homogeneous multi-agent dynamical systems (2009)
  • Author(s): S.Hara, T.Hayakawa, H.Sugata
  • Journal Title: SICE J.Contr.Meas.Sys.Integr. 2 Pages: 299-306
  • NAID: 10031152654
  • Peer Reviewed
• [Journal Article] Using congestion graphs to analyze the stability of network congestion control (2009)
  • Author(s): D.Hobson-Garcia, T.Hayakawa
  • Journal Title: Int.J.Intel.Contr.Syst. 14 Pages: 125-133
  • Peer Reviewed
• [Journal Article] On equivalence of critical probabilities of dynamic gossip protocol
  • Author(s): T.Ishikawa, T.Hayakawa
  • Journal Title: SICE Journal of Control, Measurement, and System Integration (掲載決定)
  • Peer Reviewed
• [Journal Article] On Equivalence of Critical Probabilities of Dynamic Gossip Protocol
  • Author(s): T.Ishikawa, T.Hayakawa
  • Journal Title: SICE Journal of Control, Measurement, and System Integration Volume: (採録決定)
  • Peer Reviewed
• [Presentation] Gossip protocol on the ad hoc networks and its approximated saturation (2010)
  • Author(s): T.Ishikawa, T.Hayakawa
  • Organizer: Proc.IEEE Conf.Dec.Contr.pp.2638-2643
  • Place of Presentation: Atlanta, GA
  • Year and Date: 2010-12-16
• [Presentation] Adaptive quantized control for linear uncertain discrete-time systems over channels subject to packet loss (2010)
  • Author(s): M.Siami, H.Ishii, K.Tsumura, T.Hayakawa
  • Organizer: Proc.IEEE Conf.Dec.Contr.pp.4655-4660
  • Place of Presentation: Atlanta, GA
  • Year and Date: 2010-12-16
• [Presentation] Stability and stabilization of switching stochastic differential equations subject to probabilistic state jumps (2010)
  • Author(s): A.Cetinkaya, K.Kashima, T.Hayakawa
  • Organizer: IEEE Conference on Decision and Control
  • Place of Presentation: 米国・アトランタ
  • Year and Date: 2010-12-16
• [Presentation] Stability and stabilization of switching stochastic differential equations subject to probabilistic state jumps (2010)
  • Author(s): A.Cetinkaya, K.Kashima, T.Hayakawa
  • Organizer: Proc.IEEE Conf.Dec.Contr.pp.2378-2383
  • Place of Presentation: Atlanta, GA
  • Year and Date: 2010-12-15
• [Presentation] A new variable time-gap policy for circular highways (2010)
  • Author(s): M.Terada, T.Hayakawa, K.Aihara
  • Organizer: Proc.Int.IEEE Conf.Intel.Transp.Syst.pp.1730-1734
  • Place of Presentation: Madeira Island, Portugal
  • Year and Date: 2010-09-22
• [Presentation] Impulsive transfer of elliptical orbits for consensus of two spacecraft with conservation of system areal velocity (2010)
  • Author(s): K.Furusawa, T.Hayakawa
  • Organizer: Proc.Math.Theory Netw.Syst.pp.1743-1748
  • Place of Presentation: Budapest, Hungary
  • Year and Date: 2010-07-08
• [Presentation] Coarseness in quantization for stabilization of linear systems over networks (2010)
  • Author(s): H.Ishii, K.Tsumura, T.Hayakawa
  • Organizer: Proc.Math.Theory Netw.Syst.pp.1211-1218
  • Place of Presentation: Budapest, Hungary
  • Year and Date: 2010-07-06
• [Presentation] Stability analysis for interconnected piecewise linear planar systems (2010)
  • Author(s): S.Nishiyama, T.Hayakawa
  • Organizer: Proc.Amer.Contr.Conf.pp.4827-4832
  • Place of Presentation: Baltimore, MD
  • Year and Date: 2010-07-02
• [Presentation] Orbital formation control of multiple spacecraft (2010)
  • Author(s): T.D.Le, K.Furusawa, T.Hayakawa
  • Organizer: Proc.Amer.Contr.Conf.pp.3636-3641
  • Place of Presentation: Baltimore, MD
  • Year and Date: 2010-07-01
• [Presentation] Stability of stochastic systems with probabilistic mode switchings and state jumps (2010)
  • Author(s): A.Cetinkaya, K.Kashima, T.Hayakawa
  • Organizer: Proc.Amer.Contr.Conf.pp.4046-4051
  • Place of Presentation: Baltimore, MD
  • Year and Date: 2010-07-01
• [Presentation] Adaptive reduced-order dynamic compensation for nonlinear uncertain dynamical systems (2010)
  • Author(s): W.M.Haddad, T.Hayakawa, T.Yucelen
  • Organizer: Proc.Amer.Contr.Conf.pp.1689-1694
  • Place of Presentation: Baltimore, MD
  • Year and Date: 2010-06-30
• [Presentation] Partial asymptotic stabilization of the synchronization of two underactuated spacecraft (2009)
  • Author(s): M.Hutagalung, T.Hayakawa
  • Organizer: Proc.IEEE Conf.Dec.Contr.pp.1776-1781
  • Place of Presentation: Shanghai, China
  • Year and Date: 2009-12-16
• [Presentation] Partial asymptotic stabilization of the synchronization of two underactuated spacecraft (2009)
  • Author(s): M.Hutagalung, T.Hayakawa
  • Organizer: IEEE Conf.Dec.Contr.
  • Place of Presentation: 中国・上海
  • Year and Date: 2009-12-16
• [Presentation] Adaptive synchronization control of spacecraft with fixed rotational axis (2009)
  • Author(s): T.Hayakawa
  • Organizer: Proc.ICCAS-SICE Int.Joint Conf.pp.4092-4096
  • Place of Presentation: Fukuoka, Japan
  • Year and Date: 2009-08-21
• [Presentation] Stability analysis for 2-dimensional switched linear systems (2009)
  • Author(s): S.Nishiyama, T.Hayakawa
  • Organizer: Proc.Amer.Contr.Conf.pp.1771-1777
  • Place of Presentation: St.Louis, MO
  • Year and Date: 2009-06-10
• [Presentation] Using congestion graphs to analyze the stability of network congestion control (2009)
  • Author(s): D.Hobson-Garcia, T.Hayakawa
  • Organizer: Proc.IEEE Int.Conf.Networking Sensing Contr.pp.559-564
  • Place of Presentation: Okayama, Japan
  • Year and Date: 2009-03-28