Nonlinear control systems: an introduction (2nd ed.)
Nonlinear control systems: an introduction (2nd ed.)
Adaptive fuzzy systems and control: design and stability analysis
Adaptive fuzzy systems and control: design and stability analysis
Robust adaptive control
Fuzzy adaptive control for a class of nonlinear systems
Fuzzy Sets and Systems
Stable fuzzy adaptive control for a class of nonlinear systems
Fuzzy Sets and Systems
Fuzzy Lyapunov-based approach to the design of fuzzy controllers
Fuzzy Sets and Systems - Special issue on fuzzy modeling and dynamics
Nonlinear and Adaptive Control Design
Nonlinear and Adaptive Control Design
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy controller with stability and performance rules for nonlinear systems
Fuzzy Sets and Systems
Adaptive controller with fuzzy rules emulated structure and its applications
Engineering Applications of Artificial Intelligence
A new fuzzy Lyapunov function approach for a Takagi--Sugeno fuzzy control system design
Fuzzy Sets and Systems
Relaxed stability and stabilization conditions for a T--S fuzzy discrete system
Fuzzy Sets and Systems
Stability analysis and design of Takagi-Sugeno fuzzy systems
Information Sciences: an International Journal
Stable adaptive control using fuzzy systems and neural networks
IEEE Transactions on Fuzzy Systems
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
IEEE Transactions on Fuzzy Systems
Adaptive fuzzy-based tracking control for nonlinear SISO systems via VSS and H∞ approaches
IEEE Transactions on Fuzzy Systems
Survey Constructive nonlinear control: a historical perspective
Automatica (Journal of IFAC)
Identification and control of dynamical systems using neural networks
IEEE Transactions on Neural Networks
Stability analysis and robustness design of nonlinear systems: An NN-based approach
Applied Soft Computing
H∞ output tracking fuzzy control for nonlinear systems with time-varying delay
Applied Soft Computing
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In this paper, we propose a new approach that guarantees the stability and robustness of an adaptive control law of a nonlinear system. The control diagram proposed contains a Takagi-Sugeno-Kang fuzzy controller (TSK-FC) and a training block allowing the online adaptation of the FC parameters. The adaptation algorithm used is based on the gradient with minimization of the quadratic error between the system output and that desired by using the direct method of Lyapunov. However, our approach considers the gradient step of each adaptive FC parameter to be bound. This approach was applied to the control of an inverted pendulum. The results obtained confirm well the validity of such an adaptation especially the guarantee of the pendulum stability and the robustness of its control with respect to the disturbances introduced on the FC parameters and the pendulum itself.