Abstract
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.
Original language | English |
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Pages (from-to) | 50-58 |
Number of pages | 9 |
Journal | Electronics and Communications in Japan |
Volume | 98 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2015 May 1 |
Keywords
- Lyapunov-Krasovskii functional
- linear matrix inequality
- output feedback
- performance weight
- time-delay systems
ASJC Scopus subject areas
- Signal Processing
- Physics and Astronomy(all)
- Computer Networks and Communications
- Electrical and Electronic Engineering
- Applied Mathematics