In this study, a novel multi-objective sliding mode fuzzy control technique is presented for a class of discrete-time non-linear stochastic systems that are represented by Takagi-Sugeno (T-S) fuzzy models. Subject to ...
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In this study, a novel multi-objective sliding mode fuzzy control technique is presented for a class of discrete-time non-linear stochastic systems that are represented by Takagi-Sugeno (T-S) fuzzy models. Subject to variance and passivity constraints, parallel distributed compensation based sliding mode fuzzy control approach is investigated for the discrete-time T-S fuzzy models. Combining Lyapunov theory, passivity theory and covariance theory, sufficient conditions are derived to satisfy stability, passivity and variance constraints. The iterative linear matrix inequality algorithm is employed in this study to solve these sufficient conditions. The contribution of this study is to develop a novel sliding mode fuzzy control method such that the closed-loop discrete-time non-linear stochastic system achieves passivity constraint and individual state variance constraints, simultaneously. At last, the simulations of controlling a discrete-time non-linear ship steering system are given in a numerical example to demonstrate the effectiveness and usefulness of proposed sliding mode fuzzy control methodology.
This study addresses the autopilot design problem for a bank-to-turn missile to improve the manoeuvrability. A modified dynamic model is introduced by adding new reaction jet inputs to provide extra manouvrability. Th...
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This study addresses the autopilot design problem for a bank-to-turn missile to improve the manoeuvrability. A modified dynamic model is introduced by adding new reaction jet inputs to provide extra manouvrability. The H_ index, which is defined as the minimum singular value of the transfer function, is utilised to assess the manoeuvrability and the autopilot design problem is then transformed to a problem of H_ index controller design. An iterative linear matrix inequality algorithm is presented to obtain the control law. Simulation results illustrate the effectiveness of the proposed approach.
The stability analysis and controller synthesis methodology for a continuous perturbed time-delay affine (CPTDA) Takagi-Sugeno (T-S) fuzzy model is proposed in this paper. The CPTDA T-S fuzzy models include both linea...
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The stability analysis and controller synthesis methodology for a continuous perturbed time-delay affine (CPTDA) Takagi-Sugeno (T-S) fuzzy model is proposed in this paper. The CPTDA T-S fuzzy models include both linear nominal parts and uncertain parameters in each fuzzy rule. The proposed fuzzy control approach is developed based on an iterativelinearmatrixinequality (ILMI) algorithm to cope with the stability criteria and H-infinity performance constraints for the CPTDA T-S fuzzy models. Finally, a numerical simulation for the nonlinear inverted pendulum system is given to show the application and availability of the present design approach.
This study proposes a kind of H ∞ fuzzy proportional–integral–derivative (PID) control synthesis method for Takagi–Sugeno (T–S) fuzzy systems. The basic idea of the presented method is to transform the fuzzy PID ...
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This study proposes a kind of H ∞ fuzzy proportional–integral–derivative (PID) control synthesis method for Takagi–Sugeno (T–S) fuzzy systems. The basic idea of the presented method is to transform the fuzzy PID controller design problem into that of the fuzzy static output feedback (SOF) controller design. On the basis of an iterative linear matrix inequality algorithm, the fuzzy SOF control laws can be obtained. After that, the fuzzy PID controller is recovered from the fuzzy SOF controller. Simulation examples are given to show the effectiveness of the proposed method.
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