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| Content Provider | IET Digital Library |
|---|---|
| Author | Chen, Menghua Sun, Jian |
| Abstract | This study is concerned with the problem of non-fragile finite-time dissipative (FTD) control for time-varying system with delay. The delay is time varying and belongs to a given interval. Finite-time bounded (FTB) and FTD concepts are introduced to time-varying system with delay. First, new FTB conditions are derived for time-varying system with delay by using a piecewise Lyapunov functional combined with reciprocally convex approach. Second, FTD conditions are obtained to guarantee that the time-varying system with delay is not only FTB but also satisfies a dissipative performance index. Moreover, based on the FTD conditions, the non-fragile piecewise feedback controllers are designed in terms of linear matrix inequalities (LMIs). In addition, an LMI-based iterative algorithm is given to obtain the piecewise feedback non-fragile controller gains. Finally, numerical examples demonstrate the effectiveness of the proposed method. |
| Starting Page | 321 |
| Ending Page | 332 |
| Page Count | 12 |
| ISSN | 17518644 |
| Volume Number | 13 |
| e-ISSN | 17518652 |
| Issue Number | Issue 3, Feb (2019) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/13/3 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5771 |
| Journal | IET Control Theory & Applications |
| Publisher Date | 2018-11-20 |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Control System Analysis Control System Synthesis Delay Dissipative Performance Index Distributed Parameter Control System Feedback Finite-time Bounded Finite-time Dissipative Control Interpolation And Function Approximation Iterative Method Linear Algebra Linear Matrix Inequalities LMI-based Iterative Algorithm Lyapunov Method Nonfragile Finite-time Dissipative Piecewise Control Nonfragile Piecewise Feedback Controller Numerical Analysis Performance Index Piecewise Feedback Nonfragile Controller Gain Piecewise Lyapunov Functional Reciprocally Convex Approach Stability in Control Theory Synthesis Method Time Varying Control System Time Varying System Time-varying Delay Time-varying System |
| 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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