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

doi:10.1109/ISRCS.2014.6900104

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

Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	7th International Symposium on Resilient Control Systems, ISRCS 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781479941872
DOIs	https://doi.org/10.1109/ISRCS.2014.6900104
State	Published - Sep 16 2014
Event	7th International Symposium on Resilient Control Systems, ISRCS 2014 - Denver, United States Duration: Aug 19 2014 → Aug 21 2014

Publication series

Name	7th International Symposium on Resilient Control Systems, ISRCS 2014

Other

Other	7th International Symposium on Resilient Control Systems, ISRCS 2014
Country	United States
City	Denver
Period	8/19/14 → 8/21/14

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Cite this

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

Nonlinear Model Predictive Control for regulation of a class of Nonlinear Singularly Perturbed discrete-time systems. / Zhang, Yan; Naidu, D. Subbaram; Cai, Chenxiao; Zou, Yun.

7th International Symposium on Resilient Control Systems, ISRCS 2014. Institute of Electrical and Electronics Engineers Inc., 2014. 6900104 (7th International Symposium on Resilient Control Systems, ISRCS 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Zhang, Y, Naidu, DS, 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., 7th International Symposium on Resilient Control Systems, ISRCS 2014, Denver, United States, 8/19/14. https://doi.org/10.1109/ISRCS.2014.6900104

Zhang Y, Naidu DS, Cai C, Zou Y. 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. Institute of Electrical and Electronics Engineers Inc. 2014. 6900104. (7th International Symposium on Resilient Control Systems, ISRCS 2014). https://doi.org/10.1109/ISRCS.2014.6900104

Zhang, Yan ; Naidu, D. Subbaram ; Cai, Chenxiao ; Zou, Yun. / Nonlinear Model Predictive Control for regulation of a class of Nonlinear Singularly Perturbed discrete-time systems. 7th International Symposium on Resilient Control Systems, ISRCS 2014. Institute of Electrical and Electronics Engineers Inc., 2014. (7th International Symposium on Resilient Control Systems, ISRCS 2014).

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10.1109/ISRCS.2014.6900104