We consider a linear system subject to Markovian jumps, with a time-varying, unknown-but-bounded transition probability matrix. We derive LMI conditions ensuring various second-moment stability properties for the system. The approach is then used to generate mode-dependent state-feedback control law
A NOTE ON ROBUST STABILIZATION OF FEEDBACK LINEARIZABLE SYSTEMS
β Scribed by Le Yi Wang; Imad Makki; Wei Zhan
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 234 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1049-8923
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β¦ Synopsis
The problem of robust stabilization of nonlinear systems with feedback linearizable nominal part and norm-bounded nonlinear uncertainties is investigated. Necessary and sufficient conditions are obtained for robust stabilization of such systems. A design procedure is developed which combines feedback linearization technique and quadratic stabilization via linear feedback to achieve robust global asymptotic stability.
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