Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled Dynamics
The problem of finite-time tracking control is discussed for a class of uncertain nonstrict-feedback time-varying state delay nonlinear systems with full-state constraints and unmodeled dynamics. Different from traditional finite-control methods, a C1 smooth finite-time adaptive control framework is...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8887925 |
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| _version_ | 1832560100162666496 |
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| author | Yangang Yao Jieqing Tan Jian Wu |
| author_facet | Yangang Yao Jieqing Tan Jian Wu |
| author_sort | Yangang Yao |
| collection | DOAJ |
| description | The problem of finite-time tracking control is discussed for a class of uncertain nonstrict-feedback time-varying state delay nonlinear systems with full-state constraints and unmodeled dynamics. Different from traditional finite-control methods, a C1 smooth finite-time adaptive control framework is introduced by employing a smooth switch between the fractional and cubic form state feedback, so that the desired fast finite-time control performance can be guaranteed. By constructing appropriate Lyapunov-Krasovskii functionals, the uncertain terms produced by time-varying state delays are compensated for and unmodeled dynamics is coped with by introducing a dynamical signal. In order to avoid the inherent problem of “complexity of explosion” in the backstepping-design process, the DSC technology with a novel nonlinear filter is introduced to simplify the structure of the controller. Furthermore, the results show that all the internal error signals are driven to converge into small regions in a finite time, and the full-state constraints are not violated. Simulation results verify the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-3b04348522ab4ac5badd106da2d1f659 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3b04348522ab4ac5badd106da2d1f6592025-02-03T01:28:18ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/88879258887925Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled DynamicsYangang Yao0Jieqing Tan1Jian Wu2School of Mathematics, Hefei University of Technology, Hefei 230601, ChinaSchool of Mathematics, Hefei University of Technology, Hefei 230601, ChinaSchool of Computer and Information, Anqing Normal University, Anqing 246011, ChinaThe problem of finite-time tracking control is discussed for a class of uncertain nonstrict-feedback time-varying state delay nonlinear systems with full-state constraints and unmodeled dynamics. Different from traditional finite-control methods, a C1 smooth finite-time adaptive control framework is introduced by employing a smooth switch between the fractional and cubic form state feedback, so that the desired fast finite-time control performance can be guaranteed. By constructing appropriate Lyapunov-Krasovskii functionals, the uncertain terms produced by time-varying state delays are compensated for and unmodeled dynamics is coped with by introducing a dynamical signal. In order to avoid the inherent problem of “complexity of explosion” in the backstepping-design process, the DSC technology with a novel nonlinear filter is introduced to simplify the structure of the controller. Furthermore, the results show that all the internal error signals are driven to converge into small regions in a finite time, and the full-state constraints are not violated. Simulation results verify the effectiveness of the proposed method.http://dx.doi.org/10.1155/2020/8887925 |
| spellingShingle | Yangang Yao Jieqing Tan Jian Wu Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled Dynamics Complexity |
| title | Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled Dynamics |
| title_full | Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled Dynamics |
| title_fullStr | Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled Dynamics |
| title_full_unstemmed | Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled Dynamics |
| title_short | Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled Dynamics |
| title_sort | finite time tracking control for nonstrict feedback state delayed nonlinear systems with full state constraints and unmodeled dynamics |
| url | http://dx.doi.org/10.1155/2020/8887925 |
| work_keys_str_mv | AT yangangyao finitetimetrackingcontrolfornonstrictfeedbackstatedelayednonlinearsystemswithfullstateconstraintsandunmodeleddynamics AT jieqingtan finitetimetrackingcontrolfornonstrictfeedbackstatedelayednonlinearsystemswithfullstateconstraintsandunmodeleddynamics AT jianwu finitetimetrackingcontrolfornonstrictfeedbackstatedelayednonlinearsystemswithfullstateconstraintsandunmodeleddynamics |