Journal
ISA TRANSACTIONS
Volume 73, Issue -, Pages 11-21Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2018.01.005
Keywords
Augmented error system; Preview control; Uncertain discrete-time system; Time-varying delay; Scaled small gain theorem
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Funding
- National Key R&D Program of China [2017YFF0207401]
- Oriented Award Foundation for Science and Technological Innovation, Inner Mongolia Autonomous Region, China [2012]
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This paper proposes a concept of robust preview tracking control for uncertain discrete-time systems with time-varying delay. Firstly, a model transformation is employed for an uncertain discrete system with time-varying delay. Then, the auxiliary variables related to the system state and input are introduced to derive an augmented error system that includes future information on the reference signal. This leads to the tracking problem being transformed into a regulator problem. Finally, for the augmented error system, a sufficient condition of asymptotic stability is derived and the preview controller design method is proposed based on the scaled small gain theorem and linear matrix inequality (LMI) technique. The method proposed in this paper not only solves the difficulty problem of applying the difference operator to the time-varying matrices but also simplifies the structure of the augmented error system. The numerical simulation example also illustrates the effectiveness of the results presented in the paper. (C) 2018 ISA. Published by Elsevier Ltd. All rights reserved.
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