Syllabus Fall 2010<title></head> <body bgcolor="#FFFFAA"><pre> <a href="./602_home.htm">Biosystems Home</a> <a href="./bioass10.htm">Assignments F2010</a> date topics Aug 24 Introduction: systems modelling, feedback control: donkey tail, standing 26 Open and closed loop control, CV, setpoint, blocks, block diagram algebra 31 Canonic form, disturbance input, superposition, characteristic poly' & eq'n Sep 2 Feedback terminology and definitions; deviation, compensation, and loop gain; Nonuniqueness of block diagram representation; positive and negative feedback; <a href="http://www.howstuffworks.com/toilet1.htm>toilet mechanics</a> 7 Bainbridge reflex, sinus arrhythmia, Starling's law of the heart; Toilet control; gamma efferent--muscle spindle; 9 positive feedback, vicious cycle, cutout or limit needed 14 Redundant physiolocical system structure (nested, parallel) The Laplace Transform definition, inverse, one- v. two-sided 16 Partial Fraction Expansion; proper fraction; Laplace transform properties: of derivative, of integral, initial and final values, time shifting. 21 Causal system, causality; differentiator and integrator gain blocks, solution of differential equation systems; P, PI, PD, PID, ID controllers 23 Graphical Convolution 28 review 30 Test I Oct 5 Laplace tricks; opening the loop, loop gain; Stability: absolute, BIBO 7 Routh Criterion stability test 12 small signal multiplier; SSS and Bode plot construction. 14 Fall Break 19 Bode plot construction: magnitude plot, max amplitude error 21 Bode plot construction: phase plot, max phase error 26 Bode Plot construdtion: fixes for small damping; plot of pure delay 28 Finding the transfer function from frequency response data, Bode stability criterion, gain margin, phase margin Nov 2 Time response from S-land transfer funtion; Nyquist plot 4 Nyquist and Nichols plots for gain and phase margin 9 Stability examples: A300 tail loss, drum brakes, Cheyne-Stokes respiration 11 Extensive and intensive variables; compartments, getting the differential eq'n 16 Getting the equations, initial and final values, boundary conditions 18 Indicator dilution techniques for determining volume and flow 23 Thermodilution and multiple indicator techniques, Review 25 TNX holiday 30 Test II Dec 2 Review; Anticipators (feed forward) as control system elements. 9 No final exam </pre></body></html>