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Diagnosis and FTC by Prof. Blanke [pdf] - NTNU

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5<br />

6<br />

Structure of Plant + Controller<br />

The st<strong>and</strong>ard<br />

control problem<br />

A system with control is a hybrid entity. The system can be<br />

changed <strong>by</strong> events, some of which are faults. We may change<br />

the controller <strong>and</strong>/or the system <strong>by</strong> action of a supervisor.<br />

A Hybrid System<br />

A bathtub is a hybrid system.<br />

Dynamic relation between<br />

input flow q, height h <strong>and</strong> area A( h)<br />

are<br />

1<br />

ht ()<br />

= qt ()<br />

Ah ( )<br />

Holds only until<br />

the edge is reached:<br />

ht (<br />

) = 0 for h= hedge<br />

Mogens <strong>Blanke</strong> – Spring 2006<br />

q(t)<br />

h(t)<br />

Mogens <strong>Blanke</strong> – Spring 2006<br />

3

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