access icon free Fuzzy output-feedback control for non-linear systems with input time-varying delay

This study investigates the problem of output-feedback H control for Takagi–Sugeno fuzzy systems with input time-varying delay. Firstly, a new type of dynamic output-feedback controller is constructed for fuzzy systems with input time-varying delay. Secondly, by using Lyapunov stability theory, a condition with H performance is developed. Based on the condition, a desired dynamic output-feedback H controller is designed to guarantee that the closed-loop system is asymptotically stable with H disturbance attenuation. The existence condition of the controller can be obtained in terms of linear matrix inequalities, which can be solved by the standard software. The difference between the results proposed in the study and other existing ones is that a new dynamic output-feedback controller can be designed for fuzzy systems with input delay. Finally, a numerical example is provided to show the effectiveness of the proposed results.

Inspec keywords: delay systems; stability; fuzzy control; time-varying systems; control system synthesis; nonlinear control systems; linear matrix inequalities; feedback; Lyapunov methods

Other keywords: nonlinear system; Takagi-Sugeno fuzzy system; input time-varying delay; dynamic output-feedback controller; controller design; linear matrix inequalities; fuzzy output-feedback control

Subjects: Fuzzy control; Stability in control theory; Nonlinear control systems; Control system analysis and synthesis methods; Distributed parameter control systems; Time-varying control systems; Algebra

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