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Tools for Semiglobal Stabilization by Partial State and Output Feedback
Abstract
We develop tools for uniform semiglobal stabilization by partial state and output feedback. We show, by means of examples, that these tools are useful for solving a variety of problems. One application is a general result on semiglobal output feedback stabilizability when global state feedback stabilizability is achievable by a control function that is uniformly completely observable. We provide more general results on semiglobal output feedback stabilization as well. Globally minimum phase input--output linearizable systems are considered as a special case. Throughout our discussion we demonstrate the usefulness of considering local convergence separate from boundedness of solutions. For the former we employ a sufficient small gain condition guaranteeing convergence. For the latter we rely on Lyapunov techniques.
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Cited by
A Lyapunov approach to incremental stability properties
Angeli, D. (2002) · IEEE Transactions on Automatic Control · doi:10.1109/9.989067 · Cited by 760
Spong (1998) · doi:10.1007/bfb0015081 · Cited by 437
Robust Adaptive Dynamic Programming and Feedback Stabilization of Nonlinear Systems
Jiang, Y., & Jiang, Z.-P. (2014) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2013.2294968 · Cited by 414
A Lyapunov Proof of an Improved Maximum Allowable Transfer Interval for Networked Control Systems
Carnevale, D., Teel, A. R., & Nesic, D. (2007) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2007.895913 · Cited by 371
Self-citationA Survey of Some Recent Results on Nonlinear Fault Tolerant Control
Benosman, M. (2010) · Mathematical Problems in Engineering · doi:10.1155/2010/586169 · Cited by 74
Metadata
- Authors
- Teel, A., & Praly, L.
- Venue
- SIAM Journal on Control and Optimization
- Published
- 1995-09
- Volume
- 33
- Issue
- 5
- Pages
- 1443-1488
- ISSN
- 0363-0129 (ISSN-L)
- 1095-7138
- OpenAlex
- W2034005720
- Cited by
- 642
- References
- 0
- FWCI
- 34.43
- Type
- journal article
- Language
- en
- Open access
- closed
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- Teel, A., & Praly, L. (1995). Tools for Semiglobal Stabilization by Partial State and Output Feedback. SIAM Journal on Control and Optimization. https://doi.org/10.1137/s0363012992241430
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