Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 26, Issue 13, Pages 2845-2863Publisher
WILEY
DOI: 10.1002/rnc.3478
Keywords
pseudo-predictor feedback; discrete-time systems; input delay; delay compensation; stabilization
Funding
- National Natural Science Foundation of China [61273028, 61322305, 61321062]
- Natural Science Foundation of Heilongjiang Province of China [F2015007]
- Foundation for the Author of National Excellent Doctoral Dissertation of China [201343]
- GRF HKU [7137/13E]
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This paper studies the problems of stabilization of discrete-time linear systems with a single input delay. By developing the methodology of pseudo-predictor feedback, which uses the (artificial) closed-loop system dynamics to predict the future state, memoryless state feedback control laws are constructed to solve the problem. Necessary and sufficient conditions are obtained to guarantee the stability of the closed-loop system in terms of the stability of a class-difference equations. It is also shown that the proposed controller achieves semi-global stabilization of the system if its actuator is subject to either magnitude saturation or energy constraints under the condition that the open-loop system is only polynomially unstable. Numerical examples have been worked out to illustrate the effectiveness of the proposed approaches. Copyright (c) 2015 John Wiley & Sons, Ltd.
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