New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI

By Xiaodong Liu, Qingling Zhang. at - Automatisierungstechnik, 2003

728 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/32b084938e72485c81e33523cb7df29ca6a831c9

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In Control and Systems Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

A New Design of Delay-Dependent Robust ${\cal H}_{\bm \infty}$ Filtering for Discrete-Time T--S Fuzzy Systems With Time-Varying Delay (2009, methodology): “4: It is noted that the convexifying procedure proposed in this paper is based on the relaxation inequality (51), and extensions of the current derivations based on the more powerful relaxation techniques presented in [7] and [16]–[22] are straightforward.”
Nonquadratic Stabilization Conditions for a Class of Uncertain Nonlinear Discrete Time TS Fuzzy Models: A New Approach (2008, methodology): “Several ways are possible: matrix properties with specific transformations [12], [13], elimination lemma [14], relaxation of the basic inequalities [5], [6].”
Perspectives of fuzzy systems and control (2005, background): “Another approach is to use some matrix properties: specific transformations, elimination lemma [59] and/or relaxation of the basic inequality (6), see for example [52,35].”
Fuzzy Control Systems: Past, Present and Future (2019, background): “…have been proposed in the T-S fuzzy literature, including non-PDC control [35], [46], [64], [65], fuzzy observer-based control with measurable premises [57], [66]–[68], with unmeasurable premises [69]–[72], fuzzy static output feedback control [73]–[77], etc., and their numerous extensions.”
Design of sliding mode unknown input observer for uncertain Takagi-Sugeno model (2007, positive): “Proof: the proof of this theorem is performed following the same steps as in theorem 1 and exploiting the result developed in [ 18 ].”
A Survey on Analysis and Design of Model-Based Fuzzy Control Systems (2006, background): “systems with various performance indexes such as and with respect to external disturbances [34], [36], [46], [47], [110], [168], [192], [197], [283], [312], [317]; ii) controller designs of uncertain T–S fuzzy systems with or without various perfor-”