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LMI-Based Neurocontroller for State-Feedback Guaranteed Cost Control of Discrete-Time Uncertain System

Hiroaki MUKAIDANI, Yasuhisa ISHII, Nan BU, Yoshiyuki TANAKA, Toshio TSUJI

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Summary :

The application of neural networks to the state-feedback guaranteed cost control problem of discrete-time system that has uncertainty in both state and input matrices is investigated. Based on the Linear Matrix Inequality (LMI) design, a class of a state feedback controller is newly established, and sufficient conditions for the existence of guaranteed cost controller are derived. The novel contribution is that the neurocontroller is substituted for the additive gain perturbations. It is newly shown that although the neurocontroller is included in the discrete-time uncertain system, the robust stability for the closed-loop system and the reduction of the cost are attained.

Publication
IEICE TRANSACTIONS on Information Vol.E88-D No.8 pp.1903-1911
Publication Date
2005/08/01
Publicized
Online ISSN
DOI
10.1093/ietisy/e88-d.8.1903
Type of Manuscript
Special Section PAPER (Special Section on Recent Advances in Circuits and Systems--Part 2)
Category
Neural Networks and Fuzzy Systems

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