This paper sets forth two approaches for a combined controller-observer design procedure for a class of uncertain time delay systems. The first procedure uses a delay-independent LMI (linear matrix inequality) formulation that sets forth sufficient conditions for the existence of appropriate feedback and observer matrices that guarantee asymptotic stability of the system-error dynamic combination. The second procedure generates a similar delay-dependent LMI. Standard toolboxes can be used to generate solutions to the LMIs when solutions exist. The observer-control design techniques are applied to an internal combustion (IC) engine idle speed control problem; simulation results demonstrate the effectiveness of the proposed techniques.
Keywords:
control system synthesis,
delay systems,
velocity control,
uncertain systems,
time-varying systems,
observers,
internal combustion engines,
linear matrix inequalities,
feedback,
asymptotic stability
Topics:
Control equipment,
Delays,
Design,
Engines,
Feedback,
Time delay systems,
Stability,
Uncertainty
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