Robust H∞ control for Van de Vusse reactor via T–S fuzzy bilinear scheme

Controller Design Based On Fuzzy Observers For T-S Fuzzy Bilinear Models

“…W P , and using the Schur's complement [39] to (42) results in (25) and (26). This completes the proof of the theorem.…”

“…For example; in [22] proposed a fuzzy controller to stabilize the FBS and also for the fuzzy bilinear systems with parametric uncertainties. In [23], [26], the authors studied the robust ∞ H control problem for T-S FBS. In [25], the authors developed a static output feedback controller for T-S discrete fuzzy bilinear systems (DFBS).…”

Robust fuzzy output feedback controller for affine nonlinear systems via T–S fuzzy bilinear model: CSTR benchmark

“…The robust stabilization for continuous-time fuzzy bilinear uncertain system with disturbance was studied in [15], and then the result was extended to the robust stabilization for continuous-time fuzzy bilinear systems with time-delay only in the state [16,17]. For the discrete case, the robust H1 fuzzy control for a class of uncertain discrete fuzzy bilinear systems has been studied in [18], and then the result was extended to the discrete fuzzy bilinear system with time-delay only in the state [19], fuzzy observer design for time-delay T-S uncertain discrete fuzzy bilinear systems with disturbance in [20].…”

“…Also, a bilinear model can obviously represent the dynamics of a nonlinear system more accurately than a linear one [10][11][12][13]. Because of the advantages of bilinear systems, the fuzzy system based on the T-S fuzzy model with bilinear rule consequence was attracted the interest of researchers [14][15][16][17].…”

Robust Stabilization for a Class of Uncertain Nonlinear Systems via a Novel Hybrid Control Applicable to Mechanical Systems

“…Such uncertainties may be due to measurement error, simplified models of natural laws, neglected dynamics, or inevitably uncertain model. In recent years, a variety of methodologies in robust control have been studied and proposed, such as adaptive control approach, differential inequality approach, sliding mode control approach, ∞ control approach, adaptive sliding mode control approach, time-domain approach, backstepping control approach, neural-fuzzy approach, LMI approach, and others; see, for instance [1][2][3][4][5][6][7][8][9][10][11][12] and the references therein. In [8], based on the time-domain approach with differential inequality, a feedback control has been proposed to accomplish generalized exponential synchronization for a pair of mechanical systems with uncertainties.…”