Optimal Control:
This course studies basic principles of optimal control.
Target students include those interested in the areas of
optimization and control of various dynamic systems
such as energy systems, robots, vehicles, communication networks,
socioeconomic systems and biological systems.
In this course,
we will use linear quadratic methods for the design of control systems.
We will explore linear optimal control theory
from an engineering viewpoint,
with step-by-step explanations
that show clearly how to make practical use of the material.
The lectures will include:
(A)
The linear regulators/trackers.
The Hamilton-Jacobi equation.
(B)
The engineering properties of the regulator:
degree of stability.,
phase and gain margin,
tolerance of time delay,
effect of nonlinearities,
asymptotic properties,
various sensitivity problems.
(C)
State estimation and robust controller design
using state-estimate feedback.