Lecture 7 Notes: Locus Design
What are the basic properties of a state-space
model, and how do we analyze these?
Time Domain Interpretations
System Modes
Time Response
Can develop a lot of insight into the system response and how it is
modeled by comp

Lecture 1 Notes: Intro to Aerospace Systems
16.30/31: Introduction
d
r
e
Gc(s)
u
y
Gp(s)
Goal: Design a controller Gc(s) so that the system has some desired
characteristics. Typical objectives:
Stabilize the system (Stabilization)
Regulate the system a

Lecture 6 Notes: State-Space Design Part 2
State-Space Systems
What are state-space models?
Why should we use them?
How are they related to the transfer functions
used in classical control design and how do we
develop a state-space model?
What are the

Lecture 5 Notes: State-Space Design Part 1
State-Space Systems
What are state-space models?
Why should we use them?
How are they related to the transfer functions used in
classical control design and how do we develop a statespace model?
What are the

Lecture 4 Notes: Bode Plot Design
Control Design using Bode Plots
Performance Issues
Synthesis
Lead/Lag examples
Bodes Gain Phase Relationship
Control synthesis by classical means would be very hard if we had to
consider both the magnitude and phase p

Lecture 10 Notes: Proportional Control
State-space model features
Controllability
Controllability
Denition: An LTI system is controllable if, for every x(t)
and every nite T > 0, there exists an input function u(t), 0 < t
T , such that the system stat

Lecture 8 Notes: Compensation Design Principles
System Zeros
Transfer Function Matrices for MIMO systems
Zeros in State Space Models
Roots of transfer function numerator called the system zeros.
Need to develop a similar way of dening/computing them u

Lecture 3 Notes: Frequency Responses
Frequency response methods
Analysis
Synthesis
Performance
Stability in the Frequency Domain
Nyquist Stability Theorem
FR: Introduction
Root locus methods have:
Advantages:
Good indicator of transient response;

Lecture 9 Notes: Lead and PID Compensation
State-space model features
Observability
Controllability
Minimal Realizations
State-Space Model Features
There are some key characteristics of a state-space model that we
need to identify.
Will see that the

Lecture 2 Notes: Basic Root Locus
Basic aircraft control concepts
Basic control approaches
Aircraft Longitudinal Control
Consider the short period approximate model of an 747 aircraft.
xsp = Aspxsp + Bspe
where is the elevator input, and
xsp =
q
,
Asp