Internal models and intermittency: A theoretical account of human tracking behavior

This paper concerns the use of tracking studies to test a theoretical account of the information processing performed by the human CNS during control of movement. The theory provides a bridge between studies of reaction time and continuous tracking. It is proposed that the human CNS includes neuronal circuitry to compute inverse internal models of the multiple input, multiple output, dynamic, nonlinear relationships between outgoing motor commands and their resulting perceptual consequences. The inverse internal models are employed during movement execution to transform preplanned trajectories of desired perceptual consequences into appropriate outgoing motor commands to achieve them. A finite interval of time is required by the CNS to preplan the desired perceptual consequences of a movement and it does not commence planning a new movement until planning of the old one has been completed. This behavior introduces intermittency into the planning of movements. In this paper we show that the gain and phase frequency response characteristics of the human operator in a visual pursuit tracking task can be derived theoretically from these assumptions. By incorporating the effects of internal model inaccuracy and of speed-accuracy trade-off in performance, it is shown that various aspects of experimentally measured tracking behavior can be accounted for.

[1]  D Gopher,et al.  Different difficulty manipulations interact differently with task emphasis: evidence for multiple resources. , 1982, Journal of experimental psychology. Human perception and performance.

[2]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[3]  Stephen Monsell,et al.  The Latency and Duration of Rapid Movement Sequences: Comparisons of Speech and Typewriting , 1978 .

[4]  P. Neilson Speed of response or bandwidth of voluntary system controlling elbow position in intact man , 1972, Medical and biological engineering.

[5]  H. Freund Motor unit and muscle activity in voluntary motor control. , 1983, Physiological reviews.

[6]  R. W. Pew,et al.  Human perceptual-motor performance , 1974 .

[7]  M. Fujita,et al.  Adaptive filter model of the cerebellum , 1982, Biological Cybernetics.

[8]  J. Rawson,et al.  Climbing fibre modification of cerebellar Purkinje cell responses to parallel fibre inputs , 1982, Brain Research.

[9]  Elliot Saltzman,et al.  Levels of sensorimotor representation , 1979 .

[10]  A. T. Welford,et al.  Evidence of a Single-Channel Decision Mechanism Limiting Performance in a Serial Reaction Task* , 1959 .

[11]  Tomaso Poggio,et al.  From Understanding Computation to Understanding Neural Circuitry , 1976 .

[12]  Lawrence A. Stark,et al.  Neurological Control Systems: Studies in Bioengineering , 1995 .

[13]  K. J. Craik THEORY OF THE HUMAN OPERATOR IN CONTROL SYSTEMS , 1948 .

[14]  George E. P. Box,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[15]  C. I. Howarth,et al.  The relationship between speed and accuracy of movement aimed at a target , 1971 .

[16]  Duane T. McRuer,et al.  Human dynamics in man-machine systems , 1980, Autom..

[17]  R. Schmidt The Schema as a Solution to Some Persistent Problems in Motor Learning Theory , 1976 .

[18]  Andries F. Sanders,et al.  S-Oh-R: Oh Stages! Oh Resources! , 1984 .

[19]  M. Minsky The Society of Mind , 1986 .

[20]  S. T. Klapp,et al.  Motor programming within a sequence of responses. , 1976, Journal of motor behavior.

[21]  K. J. Craik Theory of the human operator in control systems; man as an element in a control system. , 1948, British Journal of Psychology General Section.

[22]  W. E. Hick The Discontinuous Functioning of the Human Operator in Pursuit Tasks 1 , 1948 .

[23]  E. R. Crossman,et al.  Feedback Control of Hand-Movement and Fitts' Law , 1983, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[24]  L. Karlin,et al.  Effects of Number of Alternatives on the Psychological Refractory Period , 1968, The Quarterly journal of experimental psychology.

[25]  K. J. W. Craik Theory of the human operator in control systems; the operator as an engineering system. , 1947 .

[26]  D. Kleinman,et al.  An optimal control model of human response part II: Prediction of human performance in a complex task , 1970 .

[27]  Lawrence Stark,et al.  Neurological Control Systems: Studies in Bioengineering , 1995 .

[28]  C R Kelley,et al.  Manual and Automatic Control , 1968 .

[29]  Geoffrey E. Hinton,et al.  Parallel computations for controlling an arm. , 1984, Journal of motor behavior.

[30]  M. H. Raibert,et al.  A model for sensorimotor control and learning , 1978, Biological Cybernetics.

[31]  Barry H. Kantowitz,et al.  The psychological refractory period effect: Only half the double-stimulation story? , 1970 .

[32]  P. Fitts The information capacity of the human motor system in controlling the amplitude of movement. , 1954, Journal of experimental psychology.

[33]  Peter McLeod,et al.  Parallel processing and the psychological refractory period , 1977 .

[34]  D. Chaffin,et al.  An investigation of fitts' law using a wide range of movement amplitudes. , 1976, Journal of motor behavior.

[35]  M. Vince The intermittency of control movements and the psychological refractory period. , 1948, The British journal of psychology. General section.

[36]  H. Freund,et al.  The relationship between speed and amplitude of the fastest voluntary contractions of human arm muscles , 1978, Experimental Brain Research.

[37]  W D Beggs,et al.  The accuracy of aiming at a target. Some further evidence for a theory of intermittent control. , 1972, Acta psychologica.

[38]  A. Welford THE ‘PSYCHOLOGICAL REFRACTORY PERIOD’ AND THE TIMING OF HIGH‐SPEED PERFORMANCE—A REVIEW AND A THEORY , 1952 .

[39]  James L. McClelland On the time relations of mental processes: An examination of systems of processes in cascade. , 1979 .

[40]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[41]  Ezra S. Krendel,et al.  Mathematical Models of Human Pilot Behavior , 1974 .

[42]  J. Miller Discrete versus continuous stage models of human information processing: in search of partial output. , 1982, Journal of experimental psychology. Human perception and performance.

[43]  P. H. Greene,et al.  Why is it easy to control your arms ? , 1982, Journal of motor behavior.

[44]  Daniel G Bobrow,et al.  On data-limited and resource-limited processes , 1975, Cognitive Psychology.

[45]  Steven W. Keele,et al.  Movement control in skilled motor performance. , 1968 .

[46]  E. Donchin,et al.  Performance of concurrent tasks: a psychophysiological analysis of the reciprocity of information-processing resources. , 1983, Science.

[47]  David L. Kleinman,et al.  An optimal control model of human response part I: Theory and validation , 1970 .

[48]  Ezra S. Krendel,et al.  The human operator as a servo system element , 1959 .

[49]  P. Fitts,et al.  INFORMATION CAPACITY OF DISCRETE MOTOR RESPONSES. , 1964, Journal of experimental psychology.

[50]  Hick We,et al.  Man as an element in a control system. , 1951 .

[51]  Daniel Gopher,et al.  On the Economy of the Human Processing System: A Model of Multiple Capacity. , 1977 .