Premium
Output Feedback Controller Based on a Complete Quadratic Lyapunov–Krasovskii Functional for Time‐Delay Systems
Author(s) -
MINAGAWA DAIKI,
UCHIMURA YUTAKA
Publication year - 2015
Publication title -
electronics and communications in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.131
H-Index - 13
eISSN - 1942-9541
pISSN - 1942-9533
DOI - 10.1002/ecj.11739
Subject(s) - control theory (sociology) , mathematics , controller (irrigation) , quadratic equation , stability (learning theory) , control (management) , computer science , geometry , artificial intelligence , machine learning , agronomy , biology
SUMMARY This paper describes a stabilizing output feedback controller for a time‐delay system that is derived from a complete quadratic Lyapunov–Krasovskii functional. Because the complete quadratic Lyapunov–Krasovskii functional contains nonconstant coefficients for its decision variables, the stabilizing problem is more difficult to solve than the stability problem. Instead, this paper introduces a null term with a value of zero to convert the derivative of the Lyapunov–Krasovskii functional into a quadratic form and avoid the multiplication of decision variables. The controller design procedure is given by a stability condition based on the linear matrix inequality. The performance of the proposed controller is weighted to consider the dynamics of the controlled plant.