Optimal control of unstable input/output time-delayed systems

Abstract

[EN] This paper deals with the design of optimal control for unstable time-delayed systems. Delays can be considered either at the output (measurement delays), the input (actuator delays) or both including transmission delays. The system could be unstable. The cost index weights the system state and the control input. Fully state accessibility is assumed, but the option of output dynamic feedback through an observer can be considered. This result can be split into a predictor followed by a state estimator if it is the case and state feedback. The main result is a general control law including a state feedback plus a feedforward of the delayed input. The control design technique is applied to control the pitch angle of a simulated (simplified) aircraft model