Extended dimension fuzzy adaptive control for nonlinear uncertain stochastic systems with actuator constraints
In this paper, an extended dimension fuzzy adaptive control for nonlinear uncertain stochastic systems with actuator constraints is investigated. The approximation error is introduced into the control scheme as a time-varying function by extended dimension fuzzy logic systems (FLSs). Besides, the si...
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| Published in | Nonlinear dynamics Vol. 98; no. 2; pp. 1315 - 1329 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Dordrecht
Springer Netherlands
01.10.2019
Springer Nature B.V |
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| Abstract | In this paper, an extended dimension fuzzy adaptive control for nonlinear uncertain stochastic systems with actuator constraints is investigated. The approximation error is introduced into the control scheme as a time-varying function by extended dimension fuzzy logic systems (FLSs). Besides, the sign function as a norm of the FLSs vector, in order to reduce the amount of calculation, will create a challenging chattering problem. Further, actuator failures usually are uncertain in time, pattern, and value and may also occur in practice. In order to handle the above issues, backstepping technology is applied to stabilize stochastic nonlinear system with stochastic disturbance and uncertain actuator failures. It is proved that the asymptotic convergence performance and predetermined transient tracking error performance are guaranteed to be within a pre-established sound whether the actuator fails or not. Finally, simulation results have demonstrated the proposed theoretical results. |
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| AbstractList | In this paper, an extended dimension fuzzy adaptive control for nonlinear uncertain stochastic systems with actuator constraints is investigated. The approximation error is introduced into the control scheme as a time-varying function by extended dimension fuzzy logic systems (FLSs). Besides, the sign function as a norm of the FLSs vector, in order to reduce the amount of calculation, will create a challenging chattering problem. Further, actuator failures usually are uncertain in time, pattern, and value and may also occur in practice. In order to handle the above issues, backstepping technology is applied to stabilize stochastic nonlinear system with stochastic disturbance and uncertain actuator failures. It is proved that the asymptotic convergence performance and predetermined transient tracking error performance are guaranteed to be within a pre-established sound whether the actuator fails or not. Finally, simulation results have demonstrated the proposed theoretical results. |
| Author | Chen, C. L. Philip Lai, Guanyu Wang, Jianhui Liu, Zhi Zhang, Yun |
| Author_xml | – sequence: 1 givenname: Jianhui surname: Wang fullname: Wang, Jianhui organization: School of Automation, Guangdong University of Technology, School of Mechanical and Electric Engineering, Guangzhou University – sequence: 2 givenname: Zhi orcidid: 0000-0001-6300-578X surname: Liu fullname: Liu, Zhi email: lz@gdut.edu.cn organization: School of Automation, Guangdong University of Technology – sequence: 3 givenname: C. L. Philip surname: Chen fullname: Chen, C. L. Philip organization: Faculty of Science and Technology, University of Macau – sequence: 4 givenname: Yun surname: Zhang fullname: Zhang, Yun organization: School of Automation, Guangdong University of Technology – sequence: 5 givenname: Guanyu surname: Lai fullname: Lai, Guanyu organization: School of Automation, Guangdong University of Technology |
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| CitedBy_id | crossref_primary_10_1007_s11071_022_07996_1 crossref_primary_10_4236_jcc_2020_810006 crossref_primary_10_3390_math11132925 crossref_primary_10_1007_s11071_020_05599_2 crossref_primary_10_1007_s00500_022_06968_2 |
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| Keywords | Backstepping Actuator failure Fuzzy logic systems Adaptive control Nonlinear systems Transient performance |
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| SubjectTerms | Actuators Adaptive control Automotive Engineering Classical Mechanics Control Control systems Dynamical Systems Engineering Error analysis Fuzzy control Fuzzy logic Fuzzy systems Mechanical Engineering Nonlinear control Nonlinear systems Original Paper Stochastic systems Tracking errors Vibration |
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| Title | Extended dimension fuzzy adaptive control for nonlinear uncertain stochastic systems with actuator constraints |
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