An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities
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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/786351 |
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| author | P. Bumroongsri |
| author_facet | P. Bumroongsri |
| author_sort | P. Bumroongsri |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-97669877a06a432fb198f6c5944ac8e5 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-97669877a06a432fb198f6c5944ac8e52025-02-03T06:10:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/786351786351An Offline Formulation of MPC for LPV Systems Using Linear Matrix InequalitiesP. Bumroongsri0Department of Chemical Engineering, Faculty of Engineering, Mahidol University, Phuttamonthon 4 Road, Salaya, Nakhon Pathom 73170, ThailandAn 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.http://dx.doi.org/10.1155/2014/786351 |
| spellingShingle | P. Bumroongsri An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities Journal of Applied Mathematics |
| title | An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities |
| title_full | An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities |
| title_fullStr | An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities |
| title_full_unstemmed | An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities |
| title_short | An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities |
| title_sort | offline formulation of mpc for lpv systems using linear matrix inequalities |
| url | http://dx.doi.org/10.1155/2014/786351 |
| work_keys_str_mv | AT pbumroongsri anofflineformulationofmpcforlpvsystemsusinglinearmatrixinequalities AT pbumroongsri offlineformulationofmpcforlpvsystemsusinglinearmatrixinequalities |