- Title
- A BMI approach to guaranteed cost control of discrete-time uncertain system with both state and input delays
- Creator
- Zhou, Xiaojun; Dong, Tianxue; Tang, Xiaolin; Yang, Chunhua; Gui, Weihua
- Date
- 2015
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100055
- Identifier
- vital:10469
- Identifier
-
https://doi.org/10.1002/oca.2138
- Identifier
- ISSN:0143-2087
- Abstract
- In this study, the guaranteed cost control of discrete time uncertain system with both state and input delays is considered. Sufficient conditions for the existence of a memoryless state feedback guaranteed cost control law are given in the bilinear matrix inequality form, which needs much less auxiliary matrix variables and storage space. Furthermore, the design of guaranteed cost controller is reformulated as an optimization problem with a linear objective function, bilinear, and linear matrix inequalities constraints. A nonlinear semi-definite optimization solver - PENLAB is used as a solution technique. A numerical example is given to demonstrate the effectiveness of the proposed method. Copyright © 2014 John Wiley & Sons, Ltd.
- Publisher
- John Wiley and Sons Ltd
- Relation
- Optimal Control Applications and Methods Vol. 36, no. 6 (2015), p. 844-852
- Rights
- Copyright © 2014 John Wiley & Sons, Ltd.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0906 Electrical and Electronic Engineering; Bilinear matrix inequality; Guaranteed cost control; PENLAB; State and input delays; Uncertain system
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