Quadratic stability analysis of the Takagi-Sugeno fuzzy model

Relaxed stability and stabilization conditions for a T–S fuzzy discrete system

“…The stability and stabilization issues of fuzzy control systems have been extensively studied [2,[4][5][6][7][8][9][10][11][12][13][14][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]33,34]. Generally, fuzzy systems are recognized as a kind of nonlinear systems.…”

Stable controller design for T–S fuzzy systems based on Lie algebras

“…They have presented a more general stability index to perform bifurcation analysis of fuzzy control systems. Kiriakidis et al [3] have analyzed the T-S system with offset terms as a perturbed linear system, and derived a sufficient condition on the robust stability of the system against nonlinear perturbations to guarantee quadratic stability.…”

Robust H∞ control of multiple time-delay uncertain nonlinear system using fuzzy model and adaptive neural network

“…The Takagi-Sugeno fuzzy models have been proven to be very useful to model nonlinear system [22]. Some signiÿcant research e orts have been done for fuzzy controllers based on T-S model to guarantee the control performance and system stability [4,7,9,10,15,23,26]. The stability analysis and design of fuzzy control systems based on the T-S model are discussed in [10,23].…”

“…Some signiÿcant research e orts have been done for fuzzy controllers based on T-S model to guarantee the control performance and system stability [4,7,9,10,15,23,26]. The stability analysis and design of fuzzy control systems based on the T-S model are discussed in [10,23]. And the robustness in fuzzy model-based control is studied [9,11,25].…”

“…And the robustness in fuzzy model-based control is studied [9,11,25]. Among the reported results [7,[9][10][11]23,25], most of the stability analysis and design methods are based on T-S fuzzy model, yet the e ect of approximation error due to fuzzy modeling is not considered. In [3], some robust stabilization techniques are introduced to reduce the modeling errors, but the upper bound of the approximation error is used in the analysis, which is di cult to ÿnd in practice.…”