Brief Stability preserving interpolation methods for the synthesis of gain scheduled controllers

  • Authors:
  • Daniel J. Stilwell;Wilson J. Rugh

  • Affiliations:
  • Systems Engineering Department, U.S. Naval Academy, Annapolis, MD 21402-5025, USA;Department of Electrical & Computer Engineering, Johns Hopkins University, Baltimore, MD 21218, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2000

Quantified Score

Hi-index 22.15

Visualization

Abstract

Synthesis of gain scheduled controllers for nonlinear plants often requires that a parameter-varying controller be generated from a finite set of linear time-invariant controllers. We propose interpolation methods for this task with the property that stability of the linearized closed-loop system is preserved for all values of the scheduling parameter. In addition, slow-variation arguments are presented that establish local stability of the nonlinear closed-loop system with gain scheduled controller.