Time-delay systems: an overview of some recent advances and open problems

Observer-based adaptive sliding mode control for nonlinear Markovian jump systems

s: Monsees, G. and J. M. A. Scherpen (2001), “Discrete-time output-based sliding mode control”, Proceedings of the 20th Benelux Meeting on Systems and Control, Houfalize, Belgium. Monsees, G., K. George, J. M. A. Scherpen and M. Verhaegen (1999), “A feedforward-feedback interpretation of a sliding mode control law”, Proceedings of the 18th Benelux Meeting on Systems and Control, Houthalen, Belgium.

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Discrete-time sliding mode control

A sliding mode control for linear fractional systems with input and state delays

Variable Structure Systems (VSSs) have been studied extensively for over 60 years and widely used in practical applications. A particular interest in VSS is the so-called Sliding-Mode Control (SMC), which is simple in control design and robust in parameter variations and disturbances. Modern control systems nowadays are implemented through computers. This presents challenges for SMC based VSS because the digital nature of computer-control weakens the essential assumption of SMC, that is, the switching frequency should be unlimited in order to deliver effective disruptive control actions. Extensive research activities have been since undertaken in computer-controlled VSS over the last thirty years. This survey provides a comprehensive account of the key developments in this field and examines the key technical research challenges for the future developments.

Computer-Controlled Variable Structure Systems: The State-of-the-Art

Technical Communique: Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation

This paper deals with a sliding mode control with uncertainty adaptation for the robust stabilization of uncertain input delay systems. The types of uncertainties comprise unknown time-varying non-...

Sliding mode control with uncertainty adaptation for uncertain input-delay systems

This paper deals with a sliding mode control with uncertainty adaptation for the robust stabilization of uncertain input-delay systems. The types of uncertainties comprise unknown time-varying nonlinear parameter perturbations and external disturbance. A sliding surface including a state predictor is employed to compensate for the input delay. The proposed method does not need a priori knowledge of upper bounds on the norm of the uncertainties, but estimates them by using the adaptation scheme based on the sliding surface. Then, a robust control law with uncertainty adaptation is derived to ensure the existence of the sliding mode.

The paper is concerned with a sliding mode control for the robust stabilization of uncertain input-delay systems with bounded unknown uncertainty. A sliding surface based on a predictor is proposed to minimize the effects of input delay of the system. Then, a robust control law is derived to ensure the existence of a sliding mode and to overcome the delay and the uncertainty of the system in the sliding mode. Because the control input enters the system with a delayed period, uncertainty given at any time is cancelled respectively by the corresponding switching control law after each period of the delay. So the resulting uncertainty can affect the stability the system in the sliding mode in the delay interval. Hence, there is a maximum delay bound such that the system in the sliding mode is globally asymptotically stable. Delay-dependent stability analysis for reduced order dynamics in the sliding mode is employed to estimate the maximum delay bound. A guideline is given for the design of the sliding surface matrix.

Sliding mode control with delay compensation for uncertain input-delay systems

This paper is concerned with a delay-dependent sliding mode scheme for the robust stabilization of input-delay systems with bounded unknown uncertainties. A sliding surface based on a predictor is proposed to minimize the effect of the input delay. Then, a robust control law is derived to ensure the existence of a sliding mode on the surface. In input-delay systems, uncertainties given during the delayed time are not directly controlled by the switching control because of causality problem of them. They can influence the stability of the system in the sliding mode. Hence, a delay-dependent stability analysis for reduced order dynamics is employed to estimate maximum delay bound such that the system is globally asymptotically stable in the sliding mode. A numerical example is given to illustrate the design procedure.

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Jun-Ho Oh

Papers

Technical Communique: Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation

Sliding mode control with uncertainty adaptation for uncertain input-delay systems

Sliding mode control with uncertainty adaptation for uncertain input-delay systems

Sliding mode control with delay compensation for uncertain input-delay systems

Sliding Mode Control for Robust Stabilization of Uncertain Input-Delay Systems