Publication: An offline formulation of MPC for LPV systems using linear matrix inequalities
Issued Date
2014-01-01
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ISSN
16870042
1110757X
1110757X
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2-s2.0-84900993079
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Mahidol University
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SCOPUS
Bibliographic Citation
Journal of Applied Mathematics. Vol.2014, (2014)
Suggested Citation
P. Bumroongsri An offline formulation of MPC for LPV systems using linear matrix inequalities. Journal of Applied Mathematics. Vol.2014, (2014). doi:10.1155/2014/786351 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/34131
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Title
An offline formulation of MPC for LPV systems using linear matrix inequalities
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Abstract
An offline model predictive control (MPC) algorithm for linear parameter varying (LPV) systems is presented. The main contribution is to develop an offline MPC algorithm for LPV systems that can deal with both time-varying scheduling parameter and persistent disturbance. The norm-bounding technique is used to derive an offline MPC algorithm based on the parameter-dependent state feedback control law and the parameter-dependent Lyapunov functions. The online computational time is reduced by solving offline the linear matrix inequality (LMI) optimization problems to find the sequences of explicit state feedback control laws. At each sampling instant, a parameter-dependent state feedback control law is computed by linear interpolation between the precomputed state feedback control laws. The algorithm is illustrated with two examples. The results show that robust stability can be ensured in the presence of both time-varying scheduling parameter and persistent disturbance. © 2014 P. Bumroongsri.