Parameter and state identification in non-linearizable uncertain systems

Skowronski J.M. (1984) Parameter and state identification in non-linearizable uncertain systems. International Journal of Non-Linear Mechanics, 19 5: 421-429. doi:10.1016/0020-7462(84)90028-3


Author Skowronski J.M.
Title Parameter and state identification in non-linearizable uncertain systems
Journal name International Journal of Non-Linear Mechanics   Check publisher's open access policy
ISSN 0020-7462
Publication date 1984
Sub-type Article (original research)
DOI 10.1016/0020-7462(84)90028-3
Volume 19
Issue 5
Start page 421
End page 429
Total pages 9
Subject 2210 Mechanical Engineering
3109 Statistical and Nonlinear Physics
2200 Engineering
Abstract A dynamical process is modelled by a system of non-linearizable ordinary differential equations with uncertain but bounded state variables and variable parameters. When stochastic identification is not feasible (no assumptions upon random parameters, single run control, etc), the "worst case" design is required. To avoid this penalty, we propose to extend the Liapunov design technique of building adaptive (on-line) identifiers, so far developed for linear systems with constant parameters. The standard study of stability of an error-equation is replaced by investigating convergence to diagonal set in the Cartesian product of state-parameter spaces of the model and the identifier. We also attempt to stabilize the model. Conditions for the above are introduced together with proposing suitable Liapunov functions. The method is illustrated on two examples with wide applicability: a damped Hamiltonian system and the non-linear oscillator.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
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Created: Tue, 26 Jul 2016, 05:06:53 EST by System User