1. CONTROL INTRO & OVERVIEW
What really is Control Systems
System Modelling and Model Verification
System Analysis Techniques
Controllers for Performance Improvement
Feedback based
Classical control
Stability, disturbances, noise,

2. State Space Techniques
Key Points
Concept of state
State equation from differential equations
State equations from transfer functions

3. CONTROL SYSTEMS II Classic Control Limitations
Generally SISO Systems
Generally Linear
Generally Time Invariant Systems
State-Space Techniques Advantages
MIMO systems
Non-linear and time-invariant systems
A variety of alternative controller designs
e.g state-feedback, LQR, LQG, H2, H∞, μ-synthesis

4. Terms and Definitions State x
set of variables for which x(t0) and u(t) fully define system for t>t0
State-space is the n dimensional space for n states
State trajectory is the state path within the state space
Phase plane special state space when one state is a derivative of the other

5. State Vectors & Differential equations

6. State equations from Transfer Functions
U(s)
Y(s)

7. Controllable Canonical State Equation

8. State Solutions I

9. State Solutions II

10. State Solution III

11. State Space Techniques
Key Points
Concept of state
State equation from differential equations
State equations from transfer functions
State equation solutions
D.E model equations to state equations Ex 8.1-3
State transformations
A look into the future
Control of multivariable systems