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Home > Courses Taught  > Graduate > Nonlinear Control Systems

Nonlinear Control Systems

Syllabus

·        Introduction to Nonlinear Systems

·        Part I: Nonlinear Systems Analysis

o   Phase Plane Analysis

§  Concepts of phase planes analysis

§  Constructing phase portraits

§  Phase plane analysis of linear and nonlinear systems

o   Fundamentals of Lyapunov Theory

§  Nonlinear systems and equilibrium points

§  Concepts of stability

§  Linearization and local stability

§  Lyapunov’s direct method

§  System analysis based on Lyapunov’s direct method

o   Advanced Stability Theory

§  Concepts of stability for non-autonomous systems

§  Lyapunov analysis of non-autonomous systems

§  Positive linear systems

§  The passivity formalism

o   Describing Function Analysis

§  Describing function fundamentals

§  Common nonlinearities in control systems and their describing functions

§  Describing function analysis of nonlinear systems

·        Part II: Nonlinear Control Systems Design

o   Feedback Linearization

§  Concepts

§  Mathematical tools

§  Input-state linearization of SISO systems

§  Input-output linearization of SISO systems

o   Sliding Control

§  Sliding surfaces

§  Continuous approximations of switching control laws

§  The modeling/performance trade-offs

 

 

 

Marking Scheme



Reference Books

1.      J. E. Slotine and W. Li, Applied nonlinear control, Prentice-Hall, 1991. (textbook)

2.      K. M. Hangos, J. Bokor and G. Szederkenyi, Analysis and control of nonlinear process systems, Springer, 2004.

 

Homework

File Name

Format

Size

Hwork1_NC

pdf

54 kB

Hwork2_NC

pdf

45 kB

Hwork3_NC

pdf

65 kB

Hwork4_NC

pdf

106 kB

Hwork5_NC

pdf

94 kB

Hwork6_NC

pdf

138 kB

 

Examples

File Name

Format

Size

Chapter 2_Examples 2 & 6

ZIP

354 kB

Chapter 3 Example 15

ZIP

216 kB

 

 

 

 

 

 

 


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