Course

Unit 1

Introduction to analog computer, direct versus indirect analogies, A short history of analog computing, Characteristics of analog computers, Computing elements – machine units, summer, integrators, free elements, potentiometers, function generators, multiplication, comparators and switches, Input/Output devices.

Unit 2

Analog computer operation, basic programming – radioactive decay, analytical solutions, using an analog computer, scaling, harmonic functions, sweep, Mathematical pendulum, Straight forward implementation, variants, Mass-spring-damper system, analytical solution, using an analog computer, RLC-circuit

Unit 3

Inverse functions, square root, division, power and polynomials, low pass filter, triangle/square wave generator, Ideal diode, absolute value, limiters, dead space, hysteresis, Bang-bang, Minimum/Maximum holding circuits, sample and hold, time derivative, time delay, historic approaches to delay, digitization, sample and hold circuits, analog delay network.

Unit 4

Inverse Chemical kinetics, damped pendulum with external force, MATHIEU’S equation, Introduction, Scaling and programming, VANDER POL’s equation, Programming, Solving the one dimensional SCHRODINGER equation, Ballistic trajectory, Charged particle in a magnetic field, RUTHERFORD scattering, Celestial mechanics, Bouncing ball, Zombie apocalypse, ROSSLER attractor, LORENZ attractor, another Lorenz attractor, CHAU attractor, Nonliner chaos, AIZAWA attractor, NOSE-HOOVER oscillator, rotating spiral, flow around an airfoil, Heat transfer, Two dimensional heat transfer, systems of linear equations, Human-in-the-loop, Inverted pendulum, Double pendulum

Unit 5

Hybrid computing – Hybrid controllers, Basic operations, shell trajectory, data gathering, training an AI with analog computer.

Evaluation Pattern

Textbooks / References

Analog and Hybrid computer programming, Bernd Ulmann, CPI books GmbH, Leck