Handout 14: Introduction to nonlinear systesm Eric Feron Mar29,2004 Linear systems reminder:

Handout 19: More about Dual-input describing functions- Limit cycle stability analysis Eric Feron April 16, 2004 Dual-input describing functions for Toggle switch Another servo-motor application

Handout 15: Describing functions, Introduction Eric Feron March 31, 2004 General Philosophy General reponse of arbitrary nonlinear systems is somewhat complicated. We usually know the systems we work with. Work with finite families of 'most likely

Handout 18: Dual-input describing functions Eric Feron April 5,2004 Dual-input describing functions are for mixed signals(sinusoid small constant signal) Approximating non-constant signals with constant ones

Handout 16: Describing functions, More Eric Feron April 7, 2004 Continuing on the switch nonlinearity

Handout 13: More about plants with right half-plane zeros Eric Feron March 15, 2004 Right half-plane zeros and sensor/actuator design Influence of sensor position on system dynamics: Star Market

Handout 10: Notch compensation Eric Feron March 5.2004 Notch Compensation goals: Kill nasty frequencies(eg resonant fre Canonical Notch element

Handout 10: Notch compensation Eric Feron March 8, 2004 Notch Compensation goals: Kill nasty frequencies (eg resonant fre- quencies). Canonical Notch element:

Handout 12: Plants with right half-plane zeros Eric Feron March 15, 2004 The worst of all (but they exist)! Example: The Star Market vs. Home Depot dilemma Star Market cart: Casters mounted under cart front. used to steer cart rear deviation y from reference lane

Handout 8: Lead compensation Eric Feron March 3, 2004 Lead Compensation goals: Raise phase (and gain) at high frequen- cies while not touching low-frequency system's characteristics: Can extend bandwidth of system Canonical lead element: