Abstract
This study employs the free-weighting matrix approach to investigate the output feedback control of a linear discrete-time system with an interval time-varying delay. First, the delay-dependent stability is analyzed using a new method of estimating the upper bound on the difference of a Lyapunov function without ignoring any terms; and based on the results, a design criterion for a static output feedback (SOF) controller is derived. Since the conditions thus obtained for the existence of admissible controllers are not expressed strictly in terms of linear matrix inequalities, a modified cone complementarity linearization algorithm is employed to solve the nonconvex feasibility SOF control problem. Furthermore, the problem of designing a dynamic output feedback controller is formulated as one of designing an SOF controller. Numerical examples demonstrate the effectiveness of the method and its advantage over existing methods.
Original language | English |
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Pages (from-to) | 2372 - 2377 |
Number of pages | 5 |
Journal | IEEE Transactions on Automatic Control |
Volume | 53 |
Issue number | 10 |
DOIs | |
Publication status | Published - 10 Nov 2008 |
Keywords
- time-varying delay
- Discrete-time systems
- linear matrix inequality (LMI)
- output feedback
- stabilization