ECE 528 - Analysis of Nonlinear Systems

Semesters Offered

Official Description

Nonlinear dynamics, vector fields and flows, Lyapunov stability theory, regular and singular perturbations, averaging, integral manifolds, input-output and input-to-state stability, and various design applications in control systems and robotics. Course Information: Same as GE 520 and ME 546. Prerequisite: ECE 515 and MATH 444 or MATH 447.

Prerequisites

Credit in ECE 515
Credit in MATH 285

Subject Area

Control Systems

Course Directors

Description

Nonlinear dynamic systems; phase plane and nonlinear phenomena; stability; invariance theory; asymptotic methods; feedback design.

Notes

Same as: ME 546; GE 520

Topics

  • Basic definitions; review of basic theory of differential equations; phase plane analysis and nonlinear phenomena
  • Stability definitions; Lyapunov's stability; region of attraction; stability of perturbed systems; input-to-state and input-output stability
  • Asymptotic methods, including averaging and singular perturbations; time scale separation.
  • Selected topics on analysis and design of feedback systems, with applications

Detailed Description and Outline

Topics:

  • Basic definitions; review of basic theory of differential equations; phase plane analysis and nonlinear phenomena
  • Stability definitions; Lyapunov's stability; region of attraction; stability of perturbed systems; input-to-state and input-output stability
  • Asymptotic methods, including averaging and singular perturbations; time scale separation.
  • Selected topics on analysis and design of feedback systems, with applications

Same as: ME 546; GE 520

Texts

H.K. Khalil, Nonlinear Systems Analysis, 2nd ed., Prentice-Hall, 1996.

Last updated

1/11/2015