Stable controllers for robust stabilization of systems with infinitely many unstable poles
Systems and Control Letters
511 - 516
Item Usage Stats
MetadataShow full item record
This paper studies the problem of robust stabilization by a stable controller for a linear time-invariant single-input single-output infinite dimensional system. We consider a class of plants having finitely many simple unstable zeros but possibly infinitely many unstable poles. First we show that the problem can be reduced to an interpolation-minimization by a unit element. Next, by the modified Nevanlinna-Pick interpolation, we obtain both lower and upper bounds on the multiplicative perturbation under which the plant can be stabilized by a stable controller. In addition, we find stable controllers to provide robust stability. We also present a numerical example to illustrate the results and apply the proposed method to a repetitive control system.
Infinite dimensional systems
Lower and upper bounds
Repetitive control system
Single input single output
Control system analysis
Robustness (control systems)
Published Version (Please cite this version)http://dx.doi.org/10.1016/j.sysconle.2013.02.005
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. (World Scientific Publishing Co. Pte. Ltd., 2010)In this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. For simplicity we consider only one dimensional case. We propose a novel periodic feedback controller law ...
Morgül, O. (2005)We propose two periodic feedback schemes for the stabilization of periodic orbits for one dimensional discrete time chaotic systems. These schemes can be generalized to higher dimensional systems in a straightforward way. ...