A stability result for delayed feedback controllers
Proceedings of the 42nd IEEE International Conference on Decision and Control, IEEE 2003
1889 - 1894
Item Usage Stats
We consider the delayed feedback control (DFC) scheme for one dimensional discrete time systems. To analyze the stability, we construct a map whose fixed points correspond to the periodic orbits of the system to be controlled. Then the stability of the DFC is equivalent to the stability of the corresponding equilibrium point of the constructed map. We obtain a formula for the characteristic polynomial of the Jacobian of this map. Then the Schur stability of this polynomial could be used to analyze the stability of DFC. We also present some simulation results.
Delayed feedback system
Discrete time control systems
Delayed feedback control (DFC)
Published Version (Please cite this version)https://www.doi.org/10.1109/CDC.2003.1272890
Showing items related by title, author, creator and subject.
Gündeş, A. N.; Özbay, Hitay (Taylor & Francis, 2010-03)Reliable decentralised proportional-integral-derivative controller synthesis methods are presented for closed-loop stabilisation of linear time-invariant plants with two multi-input, multi-output (MIMO) channels subject ...
Berk, E.; Toy, A. Ö. (John Wiley & Sons, Inc., 2009)We consider design of control charts in the presence of machine stoppages that are exogenously imposed (as under jidoka practices). Each stoppage creates an opportunity for inspection/repair at reduced cost. We first model ...
Concurrent design of energy management and vehicle traction supervisory control algorithms for parallel hybrid electric vehicles Dokuyucu, H. I.; Cakmakci, M. (Institute of Electrical and Electronics Engineers Inc., 2016)In this paper, concurrent design of energy management (EM) and traction control algorithms for a vehicle equipped with a parallel hybrid powertrain is studied. This paper focuses on designing the two control algorithms ...