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Output feedback exponential stabilization of a nonlinear 1-D wave equation with boundary input
- Publication Year :
- 2017
-
Abstract
- This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance. Using only two displacement signals, we propose a disturbance estimator that not only can estimate successfully the disturbance in the sense that the error is in $L^2(0,\infty)$ but also is free high-gain. With the estimated disturbance, we design a state observer that is exponentially convergent to the state of original system. An observer-based output feedback stabilizing control law is proposed. The disturbance is then canceled in the feedback loop by its approximated value. The closed-loop system is shown to be exponentially stable and it can be guaranteed that all internal signals are uniformly bounded.<br />Comment: Proc. of the IFAC World Congress, Toulouse,France, July 2017
- Subjects :
- Mathematics - Optimization and Control
37L15, 93D15, 93B51, 93B52
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1706.02152
- Document Type :
- Working Paper