Stability Analysis and Feedback Stabilization of Discrete-Time Delay Systems
Date Issued
2010
Date
2010
Author(s)
Chen, Kun-Feng
Abstract
This dissertation studies discrete-time systems with a time-varying state delay via the linear matrix inequality approach. The research includes the developments of delay- dependent stability analysis and output feedback stabilization for discrete-time systems with a time-varying state delay, discrete-time systems with a time-varying state delay and nonlinear perturbations, and discrete-time systems with an interval time-varying state delay. The derivations are based on the Lyapunov method and formulated by the linear matrix inequalities, which are convenient to solve. In the development of stability condi- tions, new free-weighting matrices are introduced, and the least number of inequalities are utilized, with the attempt to reduce as much conservatism as possible. In the proposed novel stabilizing output feedback controller design method, the gain matrix is a direct design variable, which offers great flexibility for the design purpose. To test the derived results, many numerical examples are adopted. Comparisons with results by existing methods indeed show that the proposed method is less conservative for the examples.
Subjects
discrete-time system
time-varying state delay
linear matrix inequality
stability analysis
output-feedback
l nonlinear perturbation
Type
thesis
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