Abstract
Steering mobile robots is the first application of extremum seeking in the book. Employing the approach developed for single-input systems, steering is conducted in concentration fields with an unknown spatial distribution, and without position (GPS) measurements available. The vehicle is driven to approach a small neighborhood of the source in a manner that seems partly random, but is provably convergent in a suitable probabilistic sense. The study presented in the chapter offers an interpretation for the chemotaxis motion of bacteria, which are stochastically driven and employ only local concentration measurements and no position measurements.
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References
Ariyur KB, Krstic M (2003) Real-time optimization by extremum seeking control. Wiley, Hoboken
Berg H (2003) E. coli in motion. Springer, New York
Berg H, Brown DA (1972) Chemotaxis in E. coli analyzed by three-dimensional tracking. Nature 239(5374):500–504
Cochran J, Krstic M (2009) Nonholonomic source seeking with tuning of angular velocity. IEEE Trans Autom Control 54(4):717–731
Cochran J, Ghods N, Siranosian A, Krstic M (2009) 3D source seeking for underactuated vehicles without position measurement. IEEE Trans Robot 25:117–129
Cochran J, Kanso E, Kelly SD, Xiong H, Krstic M (2009) Source seeking for two nonholonomic models of fish locomotion. IEEE Trans Robot 25:1166–1176
Ghods N, Krstic M (2010) Speed regulation in steering-based source seeking. Automatica 46:452–459
Mesquita AR, Hespanha JP, Åström K (2008) Optimotaxis: a stochastic multi-agent optimization procedure with point measurements. In: Egerstedt M, Mishra B (eds) Hybrid systems: computation and control. Lecture notes in computer science, vol. 4981. Springer, Berlin, pp 358–371
Zhang C, Arnold D, Ghods N, Siranosian A, Krstic M (2007) Source seeking with nonholonomic unicycle without position measurement and with tuning of forward velocity. Syst Control Lett 56:245–252
Zhang C, Siranosian A, Krstic M (2007) Extremum seeking for moderately unstable systems and for autonomous vehicle target tracking without position measurements. Automatica 43:1832–1839
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© 2012 Springer-Verlag London
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Liu, SJ., Krstic, M. (2012). Stochastic Source Seeking for Nonholonomic Vehicles. In: Stochastic Averaging and Stochastic Extremum Seeking. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-4087-0_6
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DOI: https://doi.org/10.1007/978-1-4471-4087-0_6
Publisher Name: Springer, London
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