in this paper, an adaptive fuzzy control scheme is proposed for a class of perturbed strict-feedback nonlinear systems with unknown discrete and distributed time-varying delays, and the proposed design method does not require a priori knowledge of the signs of the control gains.based on the backstepping technique, the adaptive fuzzy controller is constructed. the main contributions of the paper...

This paper is concerned with the problem of robust static output feedback guaranteed cost control for a class of nonlinear discrete systems with mixed time-varying delays. The proposed controller uses the output measurement to robustly exponentially stabilize the closed-loop system and guarantee an adequate level of system performance. By constructing a set of improved Lyapunov-Krasovskii funct...

Stability, L2-gain analysis and state-feedback H∞ control of linear systems with uncertain time-varying delays are considered in the case, where the nominal values of delays are constant and non-zero. A new construction of Lyapunov–Krasovskii functionals (LKFs) is introduced: to a nominal LKF, which is appropriate to the system with nominal delays, terms are added that correspond to the perturb...

In this paper, adaptive variable structure neural control is investigated for a class of SISO nonlinear systems in a Brunovsky form with state time-varying delays and unknown hysteresis input. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. The effect of the unknown hysteresis with the Prandtl-Ishlinskii model is ...

In this paper we demonstrate how Lyapunov-Krasovskii functionals can be used to obtain exponential bounds for the solutions of time-invariant linear delay systems.

The paper suggests a Takagi Sugeno (TS) fuzzy logic controller (FLC) designed to stabilize the Lorentz chaotic systems. The stability analysis of the fuzzy control system is performed using Barbashin-Krasovskii theorem. This paper proves that if the derivative of Lyapunov function is negative semi-definite for each fuzzy rule then the controlled Lorentz system is asymptotically stable in the se...

Abstract: This paper is concerned with the robust stability of a class of uncertain discrete-time systems with timevarying delays and state saturation nonlinearities. The saturation nonlinearities are assumed to be the standard saturation function, and the delay is allowed to be time-varying with known bounds. By applying the Lyapunov stability theorem and the delay-fractioning approach, a suit...

In this paper, the problem of sliding mode controller design for uncertain multi-input systems with several fixed state delays is addressed. A combined sliding mode controller is considered and it is designed for the stabilization of perturbed multi-input timedelay systems with matched parameter uncertainties and external disturbances. Delay-independent stability conditions are derived by using...