Arbitrary decay rate for two connected strings with joint anti-damping by boundary output feedback
✍ Scribed by Bao-Zhu Guo; Feng-Fei Jin
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 442 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0005-1098
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✦ Synopsis
In this paper, we are concerned with the boundary stabilization of two connected strings with middle joint anti-damping for which all eigenvalues of the (control) free system are located on the right complex plane. We first design an explicit state feedback controller to achieve exponential stability for the closedloop system. Consequently, we design the output feedback by using infinite-dimensional observer. The backstepping approach is adopted in investigation. It is shown that by using one boundary stabilizer only, the output feedback can make the closed-loop system exponentially stable with arbitrary decay rate.