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Decentralized cooperative control of multiple nonholonomic dynamic systems with uncertainty. (English) Zbl 1166.93302
Summary: This paper considers feedback control of a group of nonholonomic dynamic systems with uncertainty. Decentralized cooperative controllers are proposed with the aid of Lyapunov techniques, results of graph theory, and backstepping techniques. Robustness of the control laws with respect to communication delays is analyzed. An application of the proposed results is discussed. Simulation results show the effectiveness of the proposed controllers.

MSC:
93A14 Decentralized systems
93B52 Feedback control
93C41 Control/observation systems with incomplete information
93C85 Automated systems (robots, etc.) in control theory
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[1] Beard, R.W.; Lawton, J.; Hadaegh, F.Y., A coordination architecture for spacecraft formation control, IEEE transactions on control systems technology, 9, 6, 777-790, (2001)
[2] Desai, J.P.; Ostrowski, J.P.; Kumar, V., Modeling and control of formations of nonholonomic mobile robots, IEEE transactions on robotics and automation, 17, 905-908, (2001)
[3] Dong, W.; Farrell, J.A., Cooperative control of multiple nonholonomic mobile agents, IEEE transactions on automatic control, 53, 7, (2008) · Zbl 1367.93226
[4] Dong, W.; Huo, W., Adaptive stabilization of uncertain dynamic nonholonomic systems, International journal of control, 72, 18, 1689-1700, (1999) · Zbl 0954.93028
[5] Fax, J.A.; Murray, R.M., Information flow and cooperative control of vehicle formations, IEEE transactions on automatic control, 49, 1465-1476, (2004) · Zbl 1365.90056
[6] Jadbabaie, A.; Lin, J.; Morse, A.S., Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE transactions on automatic control, 48, 988-1001, (2003) · Zbl 1364.93514
[7] Justh, E.W.; Krishnaprasad, P.S., Equilibrium and steering laws for planar formations, System and control letters, 52, 25-38, (2004) · Zbl 1157.93406
[8] Lawton, J.R.T.; Beard, R.W.; Young, B., A decentralized approach to formation maneuvers, IEEE transactions on robotics and automation, 19, 6, 933-941, (2003)
[9] Leonard, N.E., & Fiorelli, E. (2001). Virtual leaders, artificial potentials and coordinated control of groups. In Proc. of the IEEE conf. on decision and control (pp. 2968-2973)
[10] Lin, Z.; Francis, B.; Maggiore, M., Necessary and sufficient graphical conditions for formation control of unicycles, IEEE transactions on automatic control, 50, 1, 121-127, (2005) · Zbl 1365.93324
[11] Murray, R.M.; Sastry, S.S., Nonholonomic motion planning: steering using sinusoids, IEEE transactions on automatic control, 38, 5, 700-716, (1993) · Zbl 0800.93840
[12] Olfati-Saber, R.; Murray, R.M., Consensus problems in networks of agents with switching topology and time-delays, IEEE transactions on automatic control, 49, 101-115, (2004)
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