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| Content Provider | IET Digital Library |
|---|---|
| Author | He, Wei Qin, Hui Liu, Jin Kun |
| Abstract | In this study, the control design and stability analysis are presented for a three-dimensional (3D) string system with the payload dynamics. A set of partial differential equations and ordinary differential equations (PDEs–ODEs) are developed to describe the motion of the 3D string system. The dynamic model considers the comprehensive effects of environmental loads, which are critical for the design of a string system. Based on the Lyapunov's direct method and the properties of the string system dynamics, three boundary control inputs are applied at the boundary to suppress the vibrations of the system under the external loads. Uniform boundedness of the 3D dynamics with the proposed control is achieved. Exponential stability is proved via the Lyapunov's direct method when there is no distributed load. Simulation examples are provided by using the finite difference method, and some useful conclusions are drawn. |
| Starting Page | 2387 |
| Ending Page | 2394 |
| Page Count | 8 |
| ISSN | 17518644 |
| Volume Number | 9 |
| e-ISSN | 17518652 |
| Issue Number | Issue 16, Oct (2015) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/9/16 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2015.0237 |
| Journal | IET Control Theory & Applications |
| Publisher Date | 2015-08-19 |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | 3D Dynamics Uniform Boundedness 3D String System Asymptotic Stability Boundary Control Design Boundary Control Input Control Design Control System Analysis Control System Synthesis Control Technology And Theory Environmental Load Effect Exponential Stability External Load Flexible String System Flexible Structure Lyapunov Direct Method Lyapunov Method Mathematical Analysis Mechanical Engineering Mechanical Structure Mechanical Variables Control Ordinary Differential Equation Partial Differential Equation Payload Dynamics PDEs-ODEs Stability Analysis Stability in Control Theory String System Dynamics Synthesis Method Three-dimensional Space Vibration Control Vibration Suppression Problem Vibrations And Shock Wave |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications |
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