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H∞-Optimal Observer-Based Controller Design for Nonlinear Multivariable Systems

✍ Scribed by Feng-Hsiag Hsiao; Chin E. Lin; Ciann-Dong Yang; Chia-Yuang Chang

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
217 KB
Volume
203
Category
Article
ISSN
0022-247X

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✦ Synopsis

We propose a novel algorithm to synthesize an H ϱ -optimal observer-based controller for a nonlinear multivariable system. Based on the parametrization of the observer-based controller, a necessary and sufficient condition to achieve robust stability is developed. Moreover, the Nevanlinna᎐Pick interpolation theory is employed to test the solvability condition of the robust stabilization problem. Optimal robustness can be achieved via the technique of H ϱ -optimization. The exact solution of the model-matching problem induced by the stability criterion is solved by the method of noniterative computation of the H ϱ -norm.

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