Handout 14: Introduction to nonlinear systesm Eric feron Mar29,2004 Linear systems reminder: y(u)= main properties of linear dynamical systems
Handout 14:Introduction to nonlinear systesm Eric Feron Mar 29, 2004 Linear systems reminder: y(u) = main properties of linear dynamical systems 1Ma
rom transfer functions to ordinary differential equations: 2
From transfer functions to ordinary differential equations: 2
Differential equations and physical systems 3
Differential equations and physical systems 3
Nonlinear systems: Examples Nonlinear pendulum Chemical reactions kinetics: 4
Nonlinear systems: Examples Nonlinear Pendulum Chemical Reactions Kinetics: 4
very)nonlinear mechanical systems: Rollercoasters Case 1: Not linear at equilibrium Case II: High sensitivity to initial conditions(not like linea systems 5
(very) nonlinear mechanical systems: Rollercoasters Case 1: Not linear at equilibrium Case II: High sensitivity to initial conditions (not like linear systems) 5
hard” nonlinearities Dead zones Saturations
”hard” nonlinearities Dead zones Saturations 6
m BangBang acklash 7
”Bang Bang” Backlash 7
ress Dry Friction, Stiction, Stick-slip 8
Hysteresis Dry Friction, Stiction, Stickslip 8