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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
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Examples
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Engineering Mathematics | Computer
Aided Design | Advanced Process Control | Advanced Gas Transmission
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in Control | CAD of Control Systems | Nonlinear Control Systems