Nonlinear Model Predictive Control for regulation of a class of Nonlinear Singularly Perturbed discrete-time systems

Yan Zhang, D. Subbaram Naidu, Chenxiao Cai, Yun Zou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, a class of discrete-time nonlinear systems having two-time-scale property is investigated. Using the theory of singular perturbations and time scales, the nonlinear system is decoupled into reduced slow and fast (boundary layer) subsystems. Then, a Nonlinear Model Predictive Control (NMPC) method is developed using the state-dependent Riccati equation for the slow and fast subsystems. It is proved that the original, closed-loop system with a composite control composed of slow and fast MPC subcontrollers, is locally asymptotically stable. Finally, an example is given to show the effectiveness of the developed method.

Original languageEnglish (US)
Title of host publication7th International Symposium on Resilient Control Systems, ISRCS 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479941872
DOIs
StatePublished - Sep 16 2014
Event7th International Symposium on Resilient Control Systems, ISRCS 2014 - Denver, United States
Duration: Aug 19 2014Aug 21 2014

Publication series

Name7th International Symposium on Resilient Control Systems, ISRCS 2014

Other

Other7th International Symposium on Resilient Control Systems, ISRCS 2014
CountryUnited States
CityDenver
Period8/19/148/21/14

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Zhang, Y., Naidu, D. S., Cai, C., & Zou, Y. (2014). Nonlinear Model Predictive Control for regulation of a class of Nonlinear Singularly Perturbed discrete-time systems. In 7th International Symposium on Resilient Control Systems, ISRCS 2014 [6900104] (7th International Symposium on Resilient Control Systems, ISRCS 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISRCS.2014.6900104