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This training provides the ability to predict and control motion with
mathematical and
computational skills
that took humankind thousands of years to develop.
These foundational analytical and modern computational skills include
trigonometry, calculus, differential equations, complex variables, Laplace transforms,
Taylor series, linear algebra, eigenanalysis, computers, and visualization.
This training demonstrates real physical systems,
modern numerical and symbolic computational tools
(MATLABŪ and
MotionGenesis), and
interactive, visually-appealing Working Model simulations
that provide conceptual insight into dynamic systems and controls.
Physical demonstrations and computer simulations include system identification, time constants, period,
coulomb/viscous friction, mass, stiffness, damping, natural frequency, damping ratio, decay ratio,
overshoot, settling time, rise time, pole location,
harmonic forcing, resonance, steady-state/transient/step response,
stability, feedback-control gains, control effort, Bode plots, root locus,
and modes.
Outcome:
Ability to model real systems,
size physical constants (motor constants, springs, dampers, mass, resistors, capacitors, inductors),
linearize and perform stability analysis,
design control systems (PID, state-space, feed-forward, on/off),
and low/high-pass filters, design for performance, and interpret results.
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