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BRIEF DESCRIPTION

• Characteristics of nonlinear behaviour, linearized models.
• Phase-plane methods; approximate construction of state trajectories.
• Describing functions; use in predicting oscillations.
• Stability theory, Lyapunov functions; methods of construction and use K-Y lemma; circle criteria.
• Compensation for nonlinearities; feedback linearization.
• Integrator backstepping and iterative backstepping design.
• Model reference control and model reference adaptive control of linear systems; adaptive laws and stability analysis.
• Robust issues in adaptive control, dead-zoon and sigma modifications in adaptive laws.
• Adaptive control of nonlinear systems and adaptive backstepping.

Students taking EEEN40252 in Semester 2 must study EEEN40221 Linear Systems Theory in Semester 1

The course unit unit aims to:

• Enable the stability and performance analysis and design of nonlinear systems and controllers.
• Enable the use of control schemes which adapt to unknown and/or slowly varying systems

On successful completion of the course, a student will be able to:

ILO 1: Demonstrate knowledge of the principal structures used for adaptive control systems.

ILO 2: Design adaptive controllers, for linear and nonlinear systems.

ILO 3: Use backstepping design for control of nonlinear systems.

ILO 4: Apply the describing function method to nonlinear feedback systems.

ILO 5: Use the relevant simulation tools, and apply parameter estimation methods, in other areas.

ILO 6: Obtain locally linearized models for nonlinear dynamic systems.

ILO 7: Demonstrate knowledge of the effects of non-linearities on the operation of control systems.

ILO 8: Show an understanding of methods for reducing nonlinear effects in control systems.

ILO 9: Implement adaptive control schemes for engineering systems.

ILO 10: Simulate nonlinear control systems using Matlab and Simulink.

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