Analysis and simulation of adaptive control strategies for uncertain bio-inspired sensor systems

We consider mechanical systems, that are not known precisely. In detail, we assume that the system parameters are unknown (uncertainty of system). Moreover, we allow for uncertaintieswith respect to perturbations from the environment (ground excitations). Such (non-linearly perturbed) systems need adaptive controllers which achieve a pre-defined control objective. Almost allknown controllers offer the same drawback: (possibly unboundedly) monotonically increasing gain parameters. For application it is necessary to design improved adaptation laws. We present numericalsimulations of several models primarily in application to a bio-inspired sensor model.

[1]  Carsten Behn Modeling, Analysis and Control of Mechanoreceptors with Adaptive Features , 2015 .

[2]  Friedrich G Barth,et al.  Spider mechanoreceptors , 2004, Current Opinion in Neurobiology.

[3]  A. Ilchmann,et al.  Adaptive regulation of a Biogas Tower Reactor , 1997, 1997 European Control Conference (ECC).

[4]  Frank Allgöwer,et al.  High-gain adaptive λ-tracking for nonlinear systems , 1997, Autom..

[5]  Achim Ilchmann,et al.  Output feedback stabilisation of minimum phase systems by delays , 2004, Syst. Control. Lett..

[6]  Carsten Behn Adaptive λ-tracking-control for relative degree two systems with application to bio-inspired sensors , 2007 .

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

[8]  Carsten Behn Modeling the Adjustment of Receptor Cells via Adaptive λ-Stabilizing Control , 2014 .

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

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

[11]  J. Polderman,et al.  Asymptotic Dynamics in Adaptive Gain Control , 1999 .

[12]  Eric Bullinger,et al.  Adaptive λ-tracking for systems with higher relative degree , 2000 .

[13]  Stuart Townley,et al.  Input Constrained Adaptive Tracking with Applications to Exothermic Chemical Reaction Models , 2004, SIAM J. Control. Optim..

[14]  Achim Ilchmann,et al.  Non-Identifier-Based High-Gain Adaptive Control , 1993 .