Output-feedback high-order sliding-mode (HOSM) controls include HOSM-based differentiators and, therefore, possess complicated discontinuous dynamics. Their practical application naturally involves discrete noisy output sampling and numeric integration of the internal variables. Resulting hybrid systems are shown to be stable, and the corresponding asymptotic sliding-mode accuracies are calcula...

Coupled-mode theory was used to analyze guiding in a transverse Bragg resonance (TBR) waveguide structure composed of a GaAs substrate with air holes. This analysis predicts that propagation loss will be minimized for discrete widths of the waveguide core. Although the coupled-mode theory is normally applied to structures with small index perturbations, two-dimensional finite-difference time-do...

This paper presents a discrete sliding mode observer (DSMO) for state estimation of a class of a second order underactuated system. The estimated states are used to implement the discrete sliding mode control (DSMC). Modified Bartoszewicz’s reaching law is used to synthesize a DSMC. A partially filled liquid container motion coupled with liquid slosh constitutes a class of second order underact...

Parameter identification scheme and discrete-time adaptive sliding-mode controller applied to Pioneer 3-DX wheeled mobile robot (WMR) are presented in this paper. The dynamical model for mobile robot with one pair of active wheels, time–varying mass and moment of inertia have been used in slidingmode control. Two sliding-mode controllers corresponding to angular and position motion have been de...

A discrete-time sliding mode proximate time-optimal servomechanism is developed using nonlinear sliding mode tangent to a reference velocity profile. Instead of a strong nonlinear function causing control chattering in discrete-time, a linear control is designed around the sliding surface. The resulting servomechanism delivers a bounded motion about the sliding surface even in the presence of p...

In this paper the existence of discrete cladding modes in single mode fibers is illustrated. This is done by inducing periodically repeated microbends along the fiber axis, whereupon spectral measurements of the additional loss are performed. In order to explain the results of these measurements, it is necessary to apply a microbending theory in which coupling between the guided mode and a numb...

We consider graph applications of the well-known paradigm \killing two birds with one stone". In the plane, this gives rise to a stage graph as follows: vertices are the points, and fu; vg is an edge if and only if the (innnite, straight) line segment joining u to v intersects the stage. Such graphs are shown to be comparability graphs of ordered sets of dimension 2. Similar graphs can be const...

This paper explores the use of pedestrian conveyor systems, otherwise known as moving walkways, in long public corridors such as those found in major commercial airports. The investigation includes a brief comparison of moving walkways with other primary modes of airport terminal passenger transportation and an empirical study of the use of moving walkways through analysis of passenger conveyor...

The Sliding Mode Control (SMC) is well known by its robustness to parameter uncertainties or external disturbances. The repetitive control (RC) is able to track or reject periodic and multi-periodic signals. This paper presents a new control strategy as a combination of a Sliding Mode approach and Repetitive Control to reject periodic and multi-periodic disturbances in the case of nonlinear mul...

In this paper, we directly derive a new discrete state space expression of the fractional order chaotic system based on the fractional order Grnwald-Letnikow(G-L) definition and design a variable structure controller with a new faster reachinglaw. The new reaching-law has the advantages of weakening the high frequency shake. Firstly, the condition of the discrete sliding mode surface is demonst...