Static output feedback H∞ control of a class of nonlinear discrete-time systems
Fuzzy Sets and Systems
Observer-based relaxed H∞ control for fuzzy systems using a multiple Lyapunov function
IEEE Transactions on Fuzzy Systems
A neural-fuzzy sliding mode observer for robust fault diagnosis
ACC'09 Proceedings of the 2009 conference on American Control Conference
Output feedback control for fuzzy systems with immeasurable premise variables
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Robust controllability of T-S fuzzy-model-based control systems with parametric uncertainties
IEEE Transactions on Fuzzy Systems
Fuzzy filter design for nonlinear systems in finite- frequency domain
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
H∞ output tracking fuzzy control for nonlinear systems with time-varying delay
Applied Soft Computing
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Fuzzy observer-based control design is proposed to deal with the output tracking problem for nonlinear systems. For the purpose of tracking design, the new concept of virtual desired variables and, in turn the so-called generalized kinematics are introduced to simplify the design procedure. In light of this concept, the design procedure is split into two steps: i) Determine the virtual desired variables from the generalized kinematics; and ii) Determine the control gains just like solving linear matrix inequalities for stabilization problem. For immeasurable state variables, output feedback design is proposed. Here, we focus on a common feature held by many physical systems where their membership functions of fuzzy sets satisfy a Lipschitz-like property. Based on this setting, control gains and observer gains can be designed separately. Moreover, zero tracking error and estimation error are concluded. Three different types of systems, including nonlinear mass-spring systems, dc-dc converters, and induction motors are considered to demonstrate the design procedure. Their satisfactory simulation results verify the proposed approach