This paper focuses on the problem of sliding mode control for delay-dependent stabilization criterion of bilinear state-delay systems. Based on the linear matrix inequality (LMI) method and a parameterized model transformation technique, we provide a sufficient condition for the existence of sliding surface and we give an explicit formula of sliding surface guaranteeing the asymptotic stability...

In this paper, a novel adaptive fuzzy sliding mode control method is proposed for the robust tracking control of robotic manipulators. The proposed controller possesses the advantages of adaptive control, fuzzy control, and sliding mode control. First, system stability and robustness are guaranteed based on the sliding mode control. Further, fuzzy rules are developed incorporating with adaptati...

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...

Abstract: This paper addresses discrete sliding mode control of nonlinear systems. The nonlinear system is identified as a Hammerstein model firstly to isolate the nonlinearity from the sliding surface design. An MPC law is employed to design the sliding surface. Then Utkins method of equivalent control is used. The method illustrates the effect of the nonlinearity on reaching control. The ball...

In this paper, the principle of sliding mode control is used as a basis to develop an adaptive fuzzy controller for uncertain dynamic time-delayed systems with series nonlinearities. The control method provides a simple way to achieve asymptotic stability of the uncertain time-delayed system. Other attractive features of the method include a minimal realization of the adaptive fuzzy controller ...

This paper introduces a novel bang–bang sliding control of a class of single-input bilinear systems. The sliding function is chosen via the well-known pole-assignment method for linear time-invariant systems. Importantly, the bang–bang sliding control generates a reaching-and-sliding region and a stable-sliding region, each expressed by a set of linear inequalities. Both regions comprise the eq...

First, this paper proposes a general procedure for the anti-synchronization of identical chaotic systems using novel sliding mode control method. The general result derived using novel sliding mode control method is established via Lyapunov stability theory. As an application of the general result, the problem of anti-synchronization of identical Vaidyanathan-Madhavan chaotic systems (2013) is ...

An Adaptive Sliding Mode Control (ASMC) scheme is proposed for the synchronization of two chaotic nonlinear systems. Due to sliding mode control methodology, a sliding surface is determined and the control law (synchronization method) is established. The proposed method can force an uncertain chaotic dynamic (slave dynamic) to trace another chaotic dynamic (master dynamic) without oscillating v...

This paper presents a neural network global PID-sliding mode control method for the tracking control of robot manipulators with bounded uncertainties. A certain sliding mode controller with PID sliding function is developed. In this controller, the switching gain is tuned by a RBF neural network on the reachable condition of sliding mode. Thus, the effect of chattering can be alleviated. Moreov...