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Robust H Control for Fuzzy Systems With Frobenius Norm-Bounded Uncertainties
Oleh:
Ji-Chang
;
Ming-Long-Lin
Jenis:
Article from Journal - ilmiah internasional
Dalam koleksi:
IEEE Transactions on Fuzzy Systems vol. 14 no. 1 (Feb. 2006)
,
page 1-15.
Topik:
Bouded Real Lemma
;
Fobbenius Norm
;
H Control
;
Linear Matriks Inequality (LMI)
;
Takagi-Sugeno (T-S) Fuzzy Model
Ketersediaan
Perpustakaan Pusat (Semanggi)
Nomor Panggil:
II70
Non-tandon:
1 (dapat dipinjam: 0)
Tandon:
tidak ada
Lihat Detail Induk
Isi artikel
In this paper, we investigate the problem of robust H/sub /spl infin// performance and stabilization for a class of uncertain fuzzy systems with Frobenius norm-bounded parameter uncertainties in all system matrices. Both continuous- and discrete-time uncertain fuzzy systems are considered under a unified treatment called bounded real lemma for fuzzy systems. Unlike the bounded real lemma in the linear theory of robust H/sub /spl infin// control where necessary and sufficient conditions were obtained, only sufficient condition based on Lyapunov method is shown. Furthermore, connection between robust H/sub /spl infin// problems involving uncertainty and standard uncertainty-free H/sub /spl infin// problems is established via matrix algebra. As for controller synthesis, a state feedback fuzzy control law is designed via relaxed linear matrix inequality (LMI) formulations.
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