Stable adaptive systems
Automatica (Journal of IFAC)
State and input estimation for a class of uncertain systems
Automatica (Journal of IFAC)
Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties
Fuzzy Sets and Systems - Modeling and control
H∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach
Fuzzy Sets and Systems
Adaptive fuzzy control of a class of SISO nonaffine nonlinear systems
Fuzzy Sets and Systems
Relaxed stability and stabilization conditions for a T--S fuzzy discrete system
Fuzzy Sets and Systems
H∞ fuzzy estimation for a class of nonlineardiscrete-time dynamic systems
IEEE Transactions on Signal Processing
Adaptive observers for unknown general nonlinear systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Observers for Takagi-Sugeno fuzzy systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
IEEE Transactions on Fuzzy Systems
Piecewise quadratic stability of fuzzy systems
IEEE Transactions on Fuzzy Systems
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
H∞ decentralized fuzzy model reference tracking control design for nonlinear interconnected systems
IEEE Transactions on Fuzzy Systems
Stability and stabilization of fuzzy large-scale systems
IEEE Transactions on Fuzzy Systems
A Survey on Analysis and Design of Model-Based Fuzzy Control Systems
IEEE Transactions on Fuzzy Systems
State and input simultaneous estimation for a class of nonlinear systems
Automatica (Journal of IFAC)
Brief Unknown disturbance inputs estimation based on a state functional observer design
Automatica (Journal of IFAC)
Survey paper: A survey on industrial applications of fuzzy control
Computers in Industry
Engineering Applications of Artificial Intelligence
Robust observer-based output feedback control for fuzzy descriptor systems
Expert Systems with Applications: An International Journal
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A large class of nonlinear systems can be well approximated by Takagi-Sugeno (TS) fuzzy models, with linear or affine consequents. However, in practical applications, the process under consideration may be affected by unknown inputs, such as disturbances, faults or unmodeled dynamics. In this paper, we consider the problem of simultaneously estimating the state and unknown inputs in TS systems. The inputs considered in this paper are (1) polynomials in time (such as a bias in the model or an unknown ramp input acting on the model) and (2) unmodeled dynamics. The proposed observer is designed based on the known part of the fuzzy model. Conditions on the asymptotic convergence of the observer are presented and the design guarantees an ultimate bound on the error signal. The results are illustrated on a simulation example.