The student should be made:
To understand the concept behind feedback and continuum in various systems and subsystems.
To analyse the systems in time and frequency domain and to understand the concept of stability
To apply mathematical modelling principles in understanding the various fundamental biological systems
To analyse biological system models using MATLAB
UNIT I INTRODUCTION 12
Open and Closed loop Systems, Modeling and Block Diagrams, Block diagram and signal flow graph representation of systems, reduction of block diagram and signal flow graph, Introduction to Physiological control systems- Illustration, Linear models of physiological systems, Difference between engineering and physiological control system.
UNIT II TIME RESPONSE ANALYSIS 12
Step and impulse responses of first order and second order systems, time domain specifications of first and second order systems, steady state error constants, Definition of stability, Routh- Hurwitz criteria of stability, root locus technique, construction of root locus and study of stability.
UNIT III FREQUENCY RESPONSE ANALYSIS 12
Frequency domain specifications – Polar plots, Bode plots, Nyquist plot, Nyquist stability criterion, closed loop stability, Constant M and N circles, Nichol‘s chart.
UNIT IV BIOLOGICAL SYSTEM MODELS 12
Distributed parameter versus lumped parameter models, Model development of Cardiovascular system- Heart model-circulatory model, Pulmonary mechanics- Lung tissue visco-elastance-chest wall- airways, Interaction of Pulmonary and Cardiovascular models, Static analysis of physiological systems – Regulation of cardiac output, Regulation of ventilation.
UNIT V BIOLOGICAL CONTROL SYSTEM ANALYSIS 12
Simple models of muscle stretch reflex action, Study of steady state analysis of muscle stretch reflex action, Study of transient response analysis of neuromuscular reflex model action, Study of frequency response of circulatory control model, Stability analysis of Pupillary light reflex.
TOTAL: 60 PERIODS
OUTCOMES: Upon completion of this subject, the student will be able to:
Understand the need for mathematical modeling of various systems, representation of systems in block diagrams and signal flow graphs and are introduced to biological control systems
Analyze the time response of various systems and discuss the concept of system stability
Analyze the frequency response characteristics of various systems using different charts
Understand the concept of modeling basic physiological systems
Comprehend the application aspects of time and frequency response analysis in physiological control systems.
- I.J. Nagarath and M. Gopal ―Control Systems Engineering”, Fifth Edition, Anshan Publishers, 2008.(UNIT
- Michael C K Khoo, ―Physiological Control Systems‖, IEEE Press, Prentice Hall of India, 2005
- Benjamin C. Kuo, ―Automatic Control Systems‖, Prentice Hall of India, 1995.
- John Enderle Susan Blanchard, Joseph Bronzino ―Introduction to Biomedical Engineering‖, second edition, Academic Press, 2005.
- Richard C. Dorf, Robert H. Bishop, ―Modern control systems‖, Pearson, 2004.