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Original Articles

Distributed tracking control of networked chained systems

Pages 2159-2174 | Received 13 Sep 2012, Accepted 03 May 2013, Published online: 20 Jun 2013

References

  • Arcak, M. (2007). Passivity as a design tool for group coordination. IEEE Transactions on Automatic Control, 52, 1380–1390.
  • Astolfi, A. (1996). Discontinuous control of nonholonomic systems. Systems and Control Letters, 27, 37–45.
  • Balch, T., & Arkin, R.C. (1998). Behavior-based formation control for multirobot teams. IEEE Transactions on Robotics and Automation, 14, 926–939.
  • Beard, R.W., Lawton, J., & Hadaegh, F.Y. (2001). A coordination architecture for spacecraft formation control. IEEE Transactions on Control Systems Technology, 9, 777–790.
  • Brockett, R. (1983). Asymptotic stability and feedback stabilization. Boston, MA: Birkhauser.
  • Cao, Y., & Ren, W. (2010a). Distributed coordinated tracking via a variable structure approach – Part I: Consensus tracking. American Control Conference (pp. 4744–4749). Baltimore, Maryland, USA.
  • Cao, Y., & Ren, W. (2010b). Distributed coordinated tracking via a variable structure approach - Part II: Swarm tracking. American Control Conference (pp. 4750–4755). Baltimore, Maryland, USA.
  • Cheng, L., Houa, Z.G., Tan, M., Lin, Y., & Zhang, W. (2010). Neural-network-based adaptive leader-following control for multi-agent systems with uncertainties. IEEE Transactions on Neural Networks, 21, 1351–1358.
  • Das, A., & Lewis, F. (2010). Distributed adaptive control for synchronization of unknown nonlinear networked systems. Automatica, 46, 2014–2021.
  • Desai, J.P., Ostrowski, J.P., & Kumar, V. (2001). Modeling and control of formations of nonholonomic mobile robots. IEEE Transactions on Robotics and Automation, 17, 905–908.
  • Dong, W. (2012a). Adaptive consensus seeking of multiple nonlinear systems. International Journal of Adaptive Control and Signal Processing, 26, 419–434.
  • Dong, W. (2012b). Tracking control of multiple wheeled mobile robots with limited information of A desired trajectory. IEEE Transactions on Robotics, 28, 262–268.
  • Dong, W., & Farrell, J.A. (2008). Cooperative control of multiple nonholonomic mobile agents. IEEE Transactions on Automatic Control, 53, 1434–1448.
  • Fax, J.A., & Murray, R.M. (2004). Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control, 49, 1465–1476.
  • Hong, Y., Chen, G.R., & Bushnell, L. (2008). Distributed observers design for leader-following control of multi-agent. Automatica, 44, 846–850.
  • Hong, Y., Hu, J., & Gao, L. (2006). Tracking control for multi-agent consensus with an active leader and variable topology. Automatica, 42, 1177–1182.
  • Hurwitz, A. (1895). Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reelen Theilen besitzt [On the conditions under which an equation has only roots with negative real parts]. Mathematische Annalen, 46, 273–284.
  • Jadbabaie, A., Lin, J., & Morse, A.S. (2003). Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control, 48, 988–1001.
  • Jiang, Z.P. (2000). Robust exponential regulation of nonholonomic systems with uncertainties. Automatica, 36, 189–200.
  • Jiang, Z.P., & Nijmeijer, N. (1999). A recursive technique for tracking control of nonholonomic systems in chained form. IEEE Transactions on Automatic Control, 44, 265–279.
  • Jonathan, R.T., Lawton, J., Beard, R.W., & Young, B.J. (2003). A decentralized approach to formation maneuvers. IEEE Transactions on Robotics and Automation, 19, 933–941.
  • Kolmanovsky, I., & McClamroch, N.H. (1996). Hybrid feedback laws for a class of cascade nonlinear control systems. IEEE Transactions on Automatic Control, 41, 1271–1282.
  • Lafferriere, G., Williams, A., Caughman, J., & Veermany, J.J.P. (2005). Decentralized control of vehicle formations. Systems and Control Letters, 53, 899–910.
  • Lefeber, E., Robertsson, A., & Nijmeijer, H. (2000). Linear controllers for exponnential tracking of systems in chained-form. International Journal of Robust Nonlinear Control, 10, 243–263.
  • Leonard, N.E., & Fiorelli, E. (2001). Virtual leaders, artificial potentials and coordinated control of groups. Proceedings of the IEEE Conference on Decision and Control (pp. 2968–2973). Orlando, Florida, USA.
  • Lin, Z., Francis, B., & Maggiore, M. (2005). Necessary and sufficient graphical conditions for formation control of unicycles. IEEE Transactions on Automatic Control, 50, 121–127.
  • Loria, A., & Panteley, E. (2002). Uniform exponential stability of linear time-varying systems: Revisited. Systems & Control Letters, 47, 13–24.
  • Loria, A., Panteley, E., & Melhem, K. (2002). UGAS of skew-symmetric time-varying systems: Application to stabilization of chanied form systems. Europen Journal of Control, 8, 1–12.
  • Mei, J., Ren, W., & Ma, G. (2011). Distributed coordinated tracking with a dynamic leader for multiple Euler-Lagrange systems. IEEE Transactions on Automatic Control, 56, 1415–1421.
  • Moreau, L. (2005). Stability of multiagent systems with time-dependent communication links. IEEE Transactions on Automatic Control, 50, 169–182.
  • Ogren, P., Fiorelli, E., & Leonard, N.E. (2004). Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment. IEEE Transactions on Automatic Control, 40, 1292–1302.
  • Olfati-Saber, R. (2006). Flocking for multi-agent dynamic systems: Algorithms and theory. IEEE Transactions on Automatic Control, 51, 401–420.
  • Olfati-Saber, R., Fax, J.A., & Murray, R.M. (2007). Consensus and cooperation in networked multi-agent systems. Procedings of the IEEE, 97, 215–233.
  • Olfati-Saber, R., & Murray, R.M. (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49, 101–115.
  • Panteley, E., Lefebery, E., Loria, A., & Nijmeijer, H. (1998). Exponential tracking control of a mobile car using a cascaded approach. Proceedings of the IFAC Workshop on Motion Control (pp. 221–226). Grenoble, France: Pergamon.
  • Park, P.C. (1962). A new proof of the Routh-Hurwitz stability criterion using the second method of Liapunov. Proceedings of the Cambridge Philosophical Society, 58, 694–702.
  • Prieur, C., & Astolfi, A. (2003). Robust stabilization of chained systems via hybrid control. IEEE Transactions on Automatic Control, 48, 1768–1772.
  • Qu, Z. (2009). Cooperative control of dynamical systems: Applications to autonomous vehicles. London: Springer Verlag.
  • Ren, W., & Beard, R.W. (2004). Formation feedback control for multiple spacecraft via virtual structures. IEEE Proceedings - Control Theory and Applications, 151, 357–368.
  • Ren, W., & Beard, R.W. (2005). Consensus seeking in multi-agent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 50, 655–661.
  • Ren, W., Beard, R.W., & Atkins, E.M. (2007). Information consensus in multivehicle cooperative control. IEEE Control Systems Magazine, 27, 71–82.
  • Rugh, W.J. (1996). Linear system theory. New Jersey: Prentice Hall.
  • Rugh, W.J. (1996). Linear system theory (2nd ed.). New Jersey: Prentice Hall.
  • Samson, C. (1995). Control of chained systems: application to path following and time-varying point-stabilization of mobile robots. IEEE Transactions on Automatic Control, 40, 64–77.
  • Samson, C., & Ait-Abderrahim, K. (1991). Feedback control of a nonholonomic wheeled mobile cart in cartesian space. Proceedings of IEEE Conference on Robotics and Automation (pp. 1136–1141). Sacramento, California, USA.
  • Shi, H., Wang, L., Chu, T., & Xu, M. (2007). Tracking control for groups of mobile agents. Proceedings of American Control Conference (pp. 3265–3270). New York City, USA.
  • Su, H., Wang, X., & Lin, Z. (2009). Flocking of multi-agents with a virtual leader. IEEE Transactions on Automatic control, 54, 293–307.
  • Tanner, H.G., Jadbabaie, A., & Pappas, G.J. (2007). Flocking in fixed and switching networks. IEEE Transactions on Automatic Control, 52, 863–868.
  • Tanner, H.G., Pappas, G.J., & Kumar, V. (2004). Leader-to-formation stability. IEEE Transactions on Robotics and Automation, 20, 443–455.
  • Teel, A.R., Murray, R.M., & Walsh, G.C. (1995). Nonholonomic control systems: From steering to stabilization with sinusoids. International Journal of Control, 62, 849–870.
  • Vicsek, T., Czirok, A., Jacob, E.B., Cohen, I., & Schochet, O. (1995). Novel type of phase transitions in a system of self-driven particles. Physical Review Letters, 75, 1226–1229.
  • Wang, W., & Slotine, J.J.E. (2006). Contraction analysis of time-delayed communications and group cooperation. IEEE Transactions on Automatic Control, 51, 712–717.
  • Zhang, H., & Lewis, F.L. (2010). Synchronization of networked high-order nonlinear systems with unknown dynamics. Proceedings of IEEE Conference on Decision and Control (pp. 7129–7134). Atlanta, Georgia, USA.

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