Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
Covariance control with variance constraints for continuous perturbed stochastic systems
Systems & Control Letters
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Linear Optimal Control Systems
Linear Optimal Control Systems
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
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This paper addresses the covariance control problem with decay rate for a class of nonlinear discrete stochastic systems using the Takagi-Sugeno (T-S) fuzzy models. A methodology is developed to find the discrete fuzzy controllers for achieving individual state variance constraints of discrete T-S fuzzy stochastic models. The approach developed in this paper is based on the concept of parallel distributed compensation (PDC) and covariance control. For each rule of the discrete T-S fuzzy model, it shows how to parameterize the static linear state feedback control gains to achieve a common covariance matrix and decay rate for each subsystem. Finally, a numerical example is provided to verify the effects of the proposed design method.