Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
Control Using Logic-Based Switching
Control Using Logic-Based Switching
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Analysis of Piecewise Constant Models of Current Mode Controlled DC-DC Converters
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Control of nonlinear phenomena in DC–DC converters: Fuzzy logic approach
International Journal of Circuit Theory and Applications
Bifurcations in Nonsmooth Dynamical Systems
SIAM Review
Stability analysis and design of Takagi-Sugeno fuzzy systems
Information Sciences: an International Journal
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
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
Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach
IEEE Transactions on Fuzzy Systems
New fuzzy control model and dynamic output feedback parallel distributed compensation
IEEE Transactions on Fuzzy Systems
LMI-based Integral fuzzy control of DC-DC converters
IEEE Transactions on Fuzzy Systems
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The application of a novel Takagi-Sugeno (TS) fuzzymodel-based approach to prohibit the onset of subharmonic instabilities in dc-dc power electronic converters is presented in this paper. The use of a model-based fuzzy approach derived from an average mathematical model to control the nonlinearities in power electronic converters has been reported in the literature, but this is known to act as a low-pass filter, thus ignoring all nonlinear phenomena occurring at converter clock frequency. This paper shows how converter fast-scale instabilities can be captured by extending the TS fuzzy modeling concept to nonsmooth dynamical systems by combining the TS fuzzy modeling technique with nonsmooth Lyapunov stability theory. The new method is applied to the current-mode-controlled boost converter to demonstrate how the stability analysis can be directly applied by formularizing the stability conditions as a numerical problem using linear matrix inequalities. Based on this methodology, a new type of switching fuzzy controller is proposed. The resulting control scheme is able to maintain the stable period-one behavior of the converter over a wide range of operating conditions while improving the transient response of the circuit.