An Overview of Emerging Trends in Nonlinear Control

Outline

• Linearization
• State Transition Matrix, Eigenvalues and Eigenvectors
  • Cayley, Hamilton Info
• Controllability and Observability
• State Variable and Output Feedback, Pole-Placement Design, General Eigenstructure Assignment problem
• Full-Order Observers and Reduced-Order Observers
• An Introduction to the Calculus of Variations
• The Minimum Principle
• Linear-Quadratic Optimal Control. Optimal Regulators and Observers.
• References
  

Arthur Cayley

(1821-1895)

English Mathematician

Lawyer by Training, Started teaching Mathematics in 1863

William Rowan Hamilton

(1805-1865)

Royal Astronomer of Ireland, Inventor of the Quaternions and

The Hamilton's Principle

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