| Two research problems involving the class of linear and nonlinear time delayed systems are addressed in this thesis. The first problem concerns delay identification in time delayed systems. The second problem concerns in the design of receding horizon controllers of time delayed systems. Original solutions to both problems are provided and their efficiency is assessed with examples and applications.;The thesis demonstrates the following: (1) Development of delay identifiers which are independent of system parameter identification and robust with respect to errors in the measured trajectory and exogenous input function. (2) Development of practical delay identifiers for linear and nonlinear time delayed systems for reducing conservativeness of existing robust control designs. (3) Development of model predictive control techniques for linear and nonlinear time delayed systems. (4) Rigorous proofs of the asymptotic stability of the proposed model predictive controllers. (5) Application of on-line estimation schemes to the proposed model predictive controllers.;In this thesis, delay identification problem is tackled first. Steepest descent and generalized Newton type delay identifiers are proposed. The receding horizon control problems for delayed systems are extensively investigated next. For both of linear and nonlinear time delayed systems, asymptotically stabilizing receding control laws are delivered. Finally, to reduce the conservativeness caused by delay uncertainties, an adaptive receding horizon strategy which combines feedback control with on-line delay identification is also discussed. |
