Synthesis of Adaptive Gain Controllers with Adjustable Parameters for a Class of Uncertain Linear Systems via Piecewise Lyapunov Functions

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  • OYA Hidetoshi
    Department of Electrical and Electronic Engineering, Shonan Institute of Technology
  • HAGINO Kojiro
    Department of Systems Engineering, The University of Electro-Communications
  • KAYO Soseki
    Department of Systems Engineering, The University of Electro-Communications

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  • 区分的リヤプノブ関数を用いた不確かさを含む線形システムに対する適応ゲインコントローラの構成法

Abstract

This paper discusses a design problem of robust control systems with adaptive gain controllers for a class of uncertain linear systems. The uncertainties under consideration which are composed of matched part and unmatched one are bounded, but its upper bounds are unknown, and the proposed controller consists of a fixed gain controller and a variable gain controller. In this paper, on the basis of piecewise Lyapunov functions, we show sufficient conditions for the existence of the proposed robust control system with the adaptive gain controller. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed controller.

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