Introduction to linear system theory and feedback control. Topics include state space representation, coordinate transformation and canonical forms, controllability and observability, realization of transfer functions, Lyapunov stability theory and Lyapunov functions, bounded real and positive real theory, and linear feedback control.
1. State space representation
2. Coordinate transformation and canonical forms
3. Controllability and observability
4. Realization of transfer functions
5. Lyapunov stability theory and Lyapunov functions
6. Positive real and bounded real theory
7. Linear feedback control
1. Linear Systems Theory and Designシ靴.-T. Chen, Oxford University Press, 1999
2. Linear Systems, T. Kailathシ訓rentice-Hallシ1979
Nonlinear and Adaptive Control
Assignments (30%); Final exam (70%).
Students are expected to check the utility of theoretic results given in
this course.
Comprehensive understanding of the material is evaluated through the
final exam.
Description:
Introduction to linear systems theory and feedback control.
This course provides a foundation of modern control theory and also covers
several advanced topics in linear dynamical systems.
Basic Principles Covered:
Linear dynamical systems theory, modern control theory, feedback control