Modeling, Analysis and Control of Mechanoreceptors with Adaptive Features

This work—the development of new control strategies and sensor models—is motivated by the open question which occurred during analysis of the functional morphology of vibrissal sensor systems. The reception of vibrations is a special sense of touch, important for many insects and vertebrates. The latter realize this reception by means of hair-shaped vibrissae, to acquire tactile information about their environments. The vibrissa receptors are in a permanent state of adaption to filter the perception of tactile stimuli. This behavior now may be mimicked by an artificial sensor system. The sensor system is modeled as a spring-mass-damper system with relative degree two and the system parameters are supposed to be unknown, due to the complexity of biological systems. Using a simple linear model of a sensory system adaptive controllers are considered which compensate unknown permanent ground excitations. The working principle of each controller (feedback law including adaptor) is shown in numerical simulations which prove that these controllers in fact work successfully and effectively. Moreover, practical implementation of these controllers to a demonstrator in form of an electrical oscillating circuit results in various successful experiments which confirm the theoretical results.

[1]  Petia Georgieva,et al.  Adaptive ?-tracking control of activated sludge processes , 2001 .

[2]  Achim Ilchmann,et al.  Non-identifier-based adaptive control of dynamical systems: a survey , 1991 .

[3]  Eduardo D. Sontag,et al.  Mathematical Control Theory: Deterministic Finite Dimensional Systems , 1990 .

[4]  Daniel E. Miller,et al.  An adaptive controller which provides an arbitrarily good transient and steady-state response , 1991 .

[5]  Carsten Behn,et al.  Adaptive control of straight worms without derivative measurement , 2011 .

[6]  B. Munger,et al.  A comparative light microscopic analysis of the sensory innervation of the mystacial pad. I. Innervation of vibrissal follicle‐sinus complexes , 1986, The Journal of comparative neurology.

[7]  F. Rice,et al.  Similarities and differences in the innervation of mystacial vibrissal follicle–sinus complexes in the rat and cat: A confocal microscopic study , 2002, The Journal of comparative neurology.

[8]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[9]  Joachim Steigenberger,et al.  Improved Adaptive Controllers for Sensory Systems — First Attempts , 2009 .

[10]  H. Witte,et al.  Structural Characterization of the Whisker System of the Rat , 2012, IEEE Sensors Journal.

[11]  Klaus Zimmermann,et al.  Adaptive lambda-tracking for locomotion systems , 2006, Robotics Auton. Syst..

[12]  E. Eguchi,et al.  Atlas of arthropod sensory receptors : dynamic morphology in relation to function , 1999 .

[13]  C. U. Smith Biology of Sensory Systems , 2000 .