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http://dx.doi.org/10.5302/J.ICROS.2005.11.2.093

Controller Design and Stability Analysis of Affine System with Dead-Time  

Yang Hai-Won (한양대학교 전자컴퓨터공학부)
Byun Hwang-Woo (한양대학교 전기공학과)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.11, no.2, 2005 , pp. 93-102 More about this Journal
Abstract
The Nyquist robust stability margin is proposed as a measure of robust stability for systems with Affine TFM(Transfer Function Matrix) parametric uncertainty. The parametric uncertainty is modeled through a Affine TFM MIMO (Multi-Input Multi-Output) description with dead-time, and the unstructured uncertainty through a bounded perturbation of Affine polynomials. Gershgorin's theorem and concepts of diagonal dominance and GB(Gershgorin Bands) are extended to include model uncertainty. Multiloop PI/PID controllers can be tuned by using a modified version of the Ziegler-Nichols (ZN) relations. Consequently, this paper provides sufficient conditions for the robustness of Affine TFM MIMO uncertain systems with dead-time based on Rosenbrock's DNA. Simulation examples show the performance and efficiency of the proposed multiloop design method for Affine uncertain systems with dead-time.
Keywords
stability margin; robustness; dead-time; GBM(gershgorin band method); affine TFM MIMO system; RM-PI/PID (robust multiloop-PI/PID);
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Times Cited By KSCI : 1  (Citation Analysis)
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