Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator Dynamics
We investigate the problem of fuzzy constrained predictive optimal control of high speed train considering the effect of actuator dynamics. The dynamics feature of the high speed train is modeled as a cascade of cars connected by flexible couplers, and the formulation is mathematically transformed i...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/5704743 |
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| author | Xi Wang Yan Zhao Tao Tang |
| author_facet | Xi Wang Yan Zhao Tao Tang |
| author_sort | Xi Wang |
| collection | DOAJ |
| description | We investigate the problem of fuzzy constrained predictive optimal control of high speed train considering the effect of actuator dynamics. The dynamics feature of the high speed train is modeled as a cascade of cars connected by flexible couplers, and the formulation is mathematically transformed into a Takagi-Sugeno (T-S) fuzzy model. The goal of this study is to design a state feedback control law at each decision step to enhance safety, comfort, and energy efficiency of high speed train subject to safety constraints on the control input. Based on Lyapunov stability theory, the problem of optimizing an upper bound on the cruise control cost function subject to input constraints is reduced to a convex optimization problem involving linear matrix inequalities (LMIs). Furthermore, we analyze the influences of second-order actuator dynamics on the fuzzy constrained predictive controller, which shows risk of potentially deteriorating the overall system. Employing backstepping method, an actuator compensator is proposed to accommodate for the influence of the actuator dynamics. The experimental results show that with the proposed approach high speed train can track the desired speed, the relative coupler displacement between the neighbouring cars is stable at the equilibrium state, and the influence of actuator dynamics is reduced, which demonstrate the validity and effectiveness of the proposed approaches. |
| format | Article |
| id | doaj-art-0024c16f98744cdfb8c59223f7819cf4 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0024c16f98744cdfb8c59223f7819cf42025-02-03T05:52:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/57047435704743Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator DynamicsXi Wang0Yan Zhao1Tao Tang2National Engineering Research Center of Rail Transportation Operation and Control System, Beijing Jiaotong University, Beijing, ChinaAdvanced Control Systems Lab of the School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing, ChinaState Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, ChinaWe investigate the problem of fuzzy constrained predictive optimal control of high speed train considering the effect of actuator dynamics. The dynamics feature of the high speed train is modeled as a cascade of cars connected by flexible couplers, and the formulation is mathematically transformed into a Takagi-Sugeno (T-S) fuzzy model. The goal of this study is to design a state feedback control law at each decision step to enhance safety, comfort, and energy efficiency of high speed train subject to safety constraints on the control input. Based on Lyapunov stability theory, the problem of optimizing an upper bound on the cruise control cost function subject to input constraints is reduced to a convex optimization problem involving linear matrix inequalities (LMIs). Furthermore, we analyze the influences of second-order actuator dynamics on the fuzzy constrained predictive controller, which shows risk of potentially deteriorating the overall system. Employing backstepping method, an actuator compensator is proposed to accommodate for the influence of the actuator dynamics. The experimental results show that with the proposed approach high speed train can track the desired speed, the relative coupler displacement between the neighbouring cars is stable at the equilibrium state, and the influence of actuator dynamics is reduced, which demonstrate the validity and effectiveness of the proposed approaches.http://dx.doi.org/10.1155/2016/5704743 |
| spellingShingle | Xi Wang Yan Zhao Tao Tang Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator Dynamics Discrete Dynamics in Nature and Society |
| title | Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator Dynamics |
| title_full | Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator Dynamics |
| title_fullStr | Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator Dynamics |
| title_full_unstemmed | Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator Dynamics |
| title_short | Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator Dynamics |
| title_sort | fuzzy constrained predictive optimal control of high speed train with actuator dynamics |
| url | http://dx.doi.org/10.1155/2016/5704743 |
| work_keys_str_mv | AT xiwang fuzzyconstrainedpredictiveoptimalcontrolofhighspeedtrainwithactuatordynamics AT yanzhao fuzzyconstrainedpredictiveoptimalcontrolofhighspeedtrainwithactuatordynamics AT taotang fuzzyconstrainedpredictiveoptimalcontrolofhighspeedtrainwithactuatordynamics |