A nonlinear control scheme for discrete time chaotic systems
IFAC Proceedings Volumes (IFAC-PapersOnline)
249 - 254
Item Usage Stats
MetadataShow full item record
In this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. We consider both one dimensional and higher dimensional cases. We propose a nonlinear feedback law and present some stability results. These results show that for period 1 all hyperbolic periodic orbits can be stabilized with the proposed method. By restricting the gain matrix to a special form we obtain some novel stability results. The stability proofs also give the possible feedback gains which achieve stabilization. We also present some simulation results. © 2012 IFAC.
Delayed feedback system
Discrete-time chaotic systems
Non linear control
Unstable periodic orbits
Convergence of numerical methods
Published Version (Please cite this version)https://doi.org/10.3182/20120620-3-MX-3012.00004
Showing items related by title, author, creator and subject.
Abidi, K.; Yildiz, Y. (IFAC Secretariat, 2015)In this paper, we present the discrete version of the Adaptive Posicast Controller (APC) that deals with parametric uncertainties in systems with input time-delays. The continuous-time APC is based on the Smith Predictor ...
Morgül, Ö. (Institute of Electrical and Electronics Engineers Inc., 2003)We will consider model based anticontrol of chaotic systems. We consider both continuous and discrete time cases. We first assume that the systems to be controlled are linear and time invariant. Under controllability ...
Özbay H.; Gündeş, A.N. (2006)Recently (Gündeş et al., 2006) obtained stabilizing PID controllers for a class of MIMO unstable plants with time delays in the input and output channels (I/O delays). Using this approach, for plants with one unstable pole, ...