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Stabilization of invariant sets for nonlinear non-affine systems

โœ Scribed by Anton S. Shiriaev; Alexander L. Fradkov

Book ID
104105629
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
147 KB
Volume
36
Category
Article
ISSN
0005-1098

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โœฆ Synopsis

The problem of the global and local stabilization of invariant sets for general nonlinear controlled systems is considered. New state feedback stabilizing controllers and su$cient conditions of asymptotic stability of a goal set with the speci"ed region of attraction are proposed. The proofs of the obtained results are based on the detailed analysis of the -limit sets of the closed-loop system with the speed}gradient (or Jurdjevic}Quinna) controllers for a$nizeda controlled system. Two illustrating examples are given. 2000 Elsevier Science Ltd. All rights reserved.

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โœ A.S. Shiriaev ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 126 KB

The problem of global (local) stabilizability of an invariant set of passive nonlinear controlled system is considered. New notion of detectability of the zero value set of a storage function is introduced. It is shown that this property plays a fundamental role in solving of invariant set stabiliza