1. Thabiso M. Maupong Dr. Paolo Rapisarda University of Southampton
DATA-DRIVEN CONTROL
Thabiso M. Maupong
Dr. Paolo Rapisarda
University of Southampton
UKACC PhD Presentation Showcase

2. Introduction: Controller Design
Data-driven control - controller design directly form data
- NO explicit use of mathematical models
- data not used to infer system models
Data-driven approaches – optimal control inputs, falsify control laws.
Find the controller representation
Given data from the system and
some performance specification
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3. Introduction: Control as Interconnection
Behavioral approach to dynamical system
Set of trajectories called the behavior
c - control variable
w - to be-controlled variables
Desired behavior
Controller
behavior
System full behavior
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4. Current Results: Problem
Assume:
c is observable from w
desired behavior ⊂ system behavior
Given:
“Sufficiently informative” - (w,c) of the system full behaviour.
- wd example trajectory of the desire behaviour.
Finding a controller representation.
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5. Current Results: Solution
Under suitable Conditions
Verify desired behavior ⊂ system behavior.
Compute an observability map O.
Using O compute control variable trajectory cd corresponding to wd .
Identify the controller representation using cd .
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6. UKACC PhD Presentation Showcase
Future Work
Current Work
Feedback control
Noisy data
State space case
Future Work
N-dimensional systems
UKACC PhD Presentation Showcase