Produkt
KlappentextThis book demonstrates how delay differential equations (DDEs) can be used to compliment the laboratory investigation of human balancing tasks. This approach is made accessible to non-specialists by comparing mathematical predictions and experimental observations. For example, the observation that a longer pole is easier to balance on a fingertip than a shorter one demonstrates the essential role played by a time delay in the balance control mechanism. Another balancing task considered is postural sway during quiet standing.
With the inverted pendulum as the driver and the feedback control depending on state variables or on an internal model, the feedback can be identified by determining a critical pendulum length and/or a critical delay. This approach is used to identify the nature of the feedback for the pole balancing and postural sway examples. Motivated by the question of how the nervous system deals with these feedback control challenges, there is a discussion of ''microchaotic'' fluctuations in balance control and how robust control can be achieved in the face of uncertainties in the estimation of control parameters. The final chapter suggests some topics for future research.
Each chapter includes an abstract and a point-by-point summary of the main concepts that have been established. A particularly useful numerical integration method for the DDEs that arise in balance control is semi-discretization. This method is described and a MATLAB template is provided.
This book will be a useful source for anyone studying balance in humans, other bipedal organisms and humanoid robots. Much of the material has been used by the authors to teach senior undergraduates in computational neuroscience and students in bio-systems, biomedical, mechanical and neural engineering.
Tamas Insperger is a professor and chairperson of the Department of Applied Mechanics at the Budapest University of Technology and Economics and the group leader of the MTA-BME Lendület Human Balancing Research group. He is an author with Gabor Stepan of the book 'Semi-discretization for time-delay systems'.
John Milton is a professor of computational neuroscience at The Claremont Colleges. He has authored three books: 'Mathematics as a Laboratory tool: Dynamics, delays and noise' with Toru Ohira, 'Epilepsy as a dynamic disease' with Peter Jung and 'Dynamics of small neural populations'.
With the inverted pendulum as the driver and the feedback control depending on state variables or on an internal model, the feedback can be identified by determining a critical pendulum length and/or a critical delay. This approach is used to identify the nature of the feedback for the pole balancing and postural sway examples. Motivated by the question of how the nervous system deals with these feedback control challenges, there is a discussion of ''microchaotic'' fluctuations in balance control and how robust control can be achieved in the face of uncertainties in the estimation of control parameters. The final chapter suggests some topics for future research.
Each chapter includes an abstract and a point-by-point summary of the main concepts that have been established. A particularly useful numerical integration method for the DDEs that arise in balance control is semi-discretization. This method is described and a MATLAB template is provided.
This book will be a useful source for anyone studying balance in humans, other bipedal organisms and humanoid robots. Much of the material has been used by the authors to teach senior undergraduates in computational neuroscience and students in bio-systems, biomedical, mechanical and neural engineering.
Tamas Insperger is a professor and chairperson of the Department of Applied Mechanics at the Budapest University of Technology and Economics and the group leader of the MTA-BME Lendület Human Balancing Research group. He is an author with Gabor Stepan of the book 'Semi-discretization for time-delay systems'.
John Milton is a professor of computational neuroscience at The Claremont Colleges. He has authored three books: 'Mathematics as a Laboratory tool: Dynamics, delays and noise' with Toru Ohira, 'Epilepsy as a dynamic disease' with Peter Jung and 'Dynamics of small neural populations'.
Details
Weitere ISBN/GTIN9783030845827
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2021
Erscheinungsdatum18.10.2021
Auflage1st ed. 2021
Seiten157 Seiten
SpracheEnglisch
Dateigrösse5551 Kbytes
IllustrationenXIII, 157 p.
Artikel-Nr.8198712
Rubriken
Genre9200