Sensitivity reduction by stable controllers for mIMO infinite dimensional systems via the tangential nevanlinna-Pick interpolation
IEEE Transactions on Automatic Control
1099 - 1105
Item Usage Stats
MetadataShow full item record
We study the problem of finding a stable stabilizing controller that satisfies a desired sensitivity level for an MIMO infinite dimensional system. The systems we consider have finitely many simple transmission zeros in C +, but they are allowed to possess infinitely many poles in C +. We compute both upper and lower bounds of the minimum sensitivity achievable by a stable controller via the tangential Nevanlinna-Pick interpolation. We also obtain stable controllers attaining such an upper bound. To illustrate the results, we discuss a repetitive control system as an application of the proposed method.
Keywordsinfinite dimensional systems
Control system analysis
Repetitive control system
Upper and lower bounds
Published Version (Please cite this version)http://dx.doi.org/10.1109/TAC.2013.2285788
Showing items related by title, author, creator and subject.
Tangential Nevanlinna-Pick interpolation for strong stabilization of MIMO distributed parameter systems Wakaiki, M.; Yamamoto, Y.; Özbay, Hitay (IEEE, 2012-12)We study the problem of finding stable controllers that stabilize a multi-input multi-output distributed parameter system while simultaneously reducing the sensitivity of the system. The plants we consider have finitely ...
Wakaiki, M.; Yamamoto, Y.; Özbay, H. (Elsevier, 2013)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 ...
Yücesoy, Veysel (Bilkent University, 2018-07)This thesis deals with the robust stabilization of in nite dimensional systems by stable and low order controllers. The close relation between the Nevanlinna-Pick interpolation problem and the robust stabilization is ...