Frequential Analysis of Nonlinear Systems

Dynamic systems are rarely linear over their entire operating range.

• Some non-linearities cannot be approximated locally by a linear model
• For non-linear looped systems, certain phenomena cannot be explained using "classical" linear methods.

For looped dynamic systems, it is often possible to separate the non-linear element from the linearizable part.

• How to ensure stability?
• How do you predict undesirable phenomena?
• How can we take effective action to eliminate or limit these undesirable phenomena?

• Apply the circle and first harmonic methods to analyze the stability of a nonlinear loop system
• Characterize self-oscillation when it exists
• Implement solutions to ensure the overall asymptotic stability of a nonlinear loop system, or to mitigate self-oscillation phenomena
• Design an actuator desaturation method (anti-windup)

• Analyze and control linear dynamic systems
• Calculating simple integrals
• Determine the modulus and argument of a complex number
• Representing a frequency response in Nichols and Nyquist

Available on Moodle :

• Updated PDF version of course slides
• Two uncorrected yearbook subjects