access icon free Robust model reference tracking control for interval type-2 fuzzy stochastic systems

© The Institution of Engineering and Technology
Received 09/07/2019, Accepted 24/01/2020, Revised 01/10/2019, Published 12/02/2020

This study considers the uncertainty and disturbance estimator-based control problem for interval type-2 fuzzy stochastic systems with disturbances. The proposed control approach accurately estimates system unknown delays, uncertainties, non-linearities and external disturbances by introducing an appropriate filter. Precisely, the filter's bandwidth is one of the most important parameters in designing and tuning the controller to deal with unknown delays, uncertainties, non-linearities and disturbances. By using the Lyapunov–Krasovskii stability theorem and the linear matrix inequality approach, the required stability conditions and the control gain matrices for the system under consideration are obtained. Further, the effectiveness of the proposed control law is verified using two numerical examples.

Inspec keywords: fuzzy control; Lyapunov methods; delays; stability; asymptotic stability; robust control; uncertain systems; linear matrix inequalities; control system synthesis; fuzzy set theory; stochastic systems; nonlinear control systems

Other keywords: disturbance estimator-based control problem; external disturbances; robust model reference tracking control; uncertainty; control gain matrices; system unknown delays; control approach; interval type-2 fuzzy stochastic systems; control law; linear matrix inequality approach; nonlinearities

Subjects: Fuzzy control; Distributed parameter control systems; Stability in control theory; Other topics in statistics; Optimal control; Control system analysis and synthesis methods; Combinatorial mathematics; Algebra; Nonlinear control systems

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