Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach
The design of controller for nonlinear system in strict feedback form in which the equilibrium point is the origin is the focus of the study. Backstepping is the technique applied. Recursive design is used in the backstepping control technique. Using the backstepping approach, we are given a reasona...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2023-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2023/8637789 |
| _version_ | 1797799277342228480 |
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| author | Suka Garagara Kinwi Stephen Ekwueme Aniaku Christopher Chukwuma Asogwa Emmanuel Chukwudi Mbah |
| author_facet | Suka Garagara Kinwi Stephen Ekwueme Aniaku Christopher Chukwuma Asogwa Emmanuel Chukwudi Mbah |
| author_sort | Suka Garagara Kinwi |
| collection | DOAJ |
| description | The design of controller for nonlinear system in strict feedback form in which the equilibrium point is the origin is the focus of the study. Backstepping is the technique applied. Recursive design is used in the backstepping control technique. Using the backstepping approach, we are given a reasonably simple method to design the control law for a system with these properties. The closed-loop system’s global asymptotic stability is attained by incorporating a Lyapunov function; in this case, a quadratic one was selected for the study. To demonstrate the viability of the technique, we also performed simulations of the system and the designed control with some initial values, and positive results were reported. |
| first_indexed | 2024-03-13T04:16:27Z |
| format | Article |
| id | doaj.art-3c49bac1a5bb41f58ad3835cd1065703 |
| institution | Directory Open Access Journal |
| issn | 1687-0425 |
| language | English |
| last_indexed | 2024-03-13T04:16:27Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj.art-3c49bac1a5bb41f58ad3835cd10657032023-06-21T00:00:01ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences1687-04252023-01-01202310.1155/2023/8637789Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control ApproachSuka Garagara Kinwi0Stephen Ekwueme Aniaku1Christopher Chukwuma Asogwa2Emmanuel Chukwudi Mbah3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe design of controller for nonlinear system in strict feedback form in which the equilibrium point is the origin is the focus of the study. Backstepping is the technique applied. Recursive design is used in the backstepping control technique. Using the backstepping approach, we are given a reasonably simple method to design the control law for a system with these properties. The closed-loop system’s global asymptotic stability is attained by incorporating a Lyapunov function; in this case, a quadratic one was selected for the study. To demonstrate the viability of the technique, we also performed simulations of the system and the designed control with some initial values, and positive results were reported.http://dx.doi.org/10.1155/2023/8637789 |
| spellingShingle | Suka Garagara Kinwi Stephen Ekwueme Aniaku Christopher Chukwuma Asogwa Emmanuel Chukwudi Mbah Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach International Journal of Mathematics and Mathematical Sciences |
| title | Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach |
| title_full | Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach |
| title_fullStr | Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach |
| title_full_unstemmed | Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach |
| title_short | Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach |
| title_sort | global asymptotic stability of nonlinear strict feedback system via backstepping control approach |
| url | http://dx.doi.org/10.1155/2023/8637789 |
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