TY - GEN
T1 - Nonlinear Model Predictive Control for regulation of a class of Nonlinear Singularly Perturbed discrete-time systems
AU - Zhang, Yan
AU - Naidu, D. Subbaram
AU - Cai, Chenxiao
AU - Zou, Yun
PY - 2014/9/16
Y1 - 2014/9/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84908679523&partnerID=8YFLogxK
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U2 - 10.1109/ISRCS.2014.6900104
DO - 10.1109/ISRCS.2014.6900104
M3 - Conference contribution
AN - SCOPUS:84908679523
T3 - 7th International Symposium on Resilient Control Systems, ISRCS 2014
BT - 7th International Symposium on Resilient Control Systems, ISRCS 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 7th International Symposium on Resilient Control Systems, ISRCS 2014
Y2 - 19 August 2014 through 21 August 2014
ER -