Applied Nonlinear Control and Analysis

Instructor(s)

Description

This course covers analysis methods for nonlinear dynamical systems with the primary applications to feedback control. It is particularly designed for control engineers who are facing challenges due to more tightly integrated systems and systems governed by controllers with switching behavior or logic. The nonlinear control applications covered are overviews of describing functions, the direct Lyapunov method, the Lur’e problem and circle criterion, the small gain theorem, adaptive control, feedback linearization (dynamic inversion) and hybrid systems. The theoretical content, which is the basis for understanding the control applications, consists of identifying nonlinear phenomena, the process and theory of linearization, Lyapunov stability, boundedness, center manifold theory and bifurcations. The supplied CD contains Matlab programs that can be used as the basis for hands-on exercises.

Target Audience

This course would be appropriate for managers and engineers who work in the analysis and design of modern control systems.

Fee Includes

Includes instruction, course notebook, CD-ROM, refreshments, and five lunches.
The course notes are for participants only and not for sale.
The instructor suggests that you bring a laptop with MATLAB installed if possible.

Fees: See fee information for individual classes in the registration column on the right side of this page.

Class Time

35 hours • 3.5 CEUs

Course Outline

Day One

Identifying nonlinear phenomena such as multiple equilibria, bifurcations, chaos, nonunique and multiple solutions, limit cycles, finite escape time, sub- and super-harmonic response
Nomenclature and definitions
The theory and process of linearization
The method of harmonic balance
Introduction to describing functions

Day Two

Describing functions examples
Nonlinear stability and Lyapunov functions
Control and the direct Lyapunov method
Methods for determining Lyapunov functions

Day Three

The Lur’e problem, circle criterion and Popov criterion
The small gain theorem and applications
Stability of nonlinear nonautonomous systems and boundedness

Day Four

Feedback linearization
Center manifold theory and stability
Bifurcation theory

Day Five

Introduction to hybrid (switching) systems
Stability of hybrid systems under arbitrary switching
Stability of hybrid systems under controlled switching
Stability of hybrid systems under state-dependent switching

Dates and Locations

For Course Information

Contact Kim Hunsinger
at 785-864-4758
or use the button below:

On-Site Course Information

Find out how courses
can be tailored to
your company’s needs.
Contact Soma Chakrabarti
at 785-864-7855
or use the button below:

Registration Information

Mail
Aerospace Short Courses
The University of Kansas
Continuing Education
Registrations
1515 St. Andrews Drive
Lawrence, KS 66047-1625

Phone
Toll-free 877-404-5823
or 785-864-5823
Fax
785-864-4871
TDD
800-766-3777
E-mail
kuce@ku.edu