This paper solves a particular incremental motion control problem, which is specified by the trapezoidal velocity profile, using multisegment sliding mode control. Each segment of the multisegment switching surfaces is designed to match the corresponding part of the trapezoidal velocity profile, so that the motor dynamics on the specified-segment switching surface have the desired velocity or a...

This paper illustrates a Comparative study of highly non-linear, complex and multivariable Inverted Pendulum (IP) system on Cart using different soft computing techniques. Firstly, a Fuzzy logic controller was designed using triangular and trapezoidal shape Membership functions (MF's). The trapezoidal fuzzy controller shows better results in comparison to triangular fuzzy controller. Secondly, ...

The emergency service facilities location is one of the most important issues in the emergency management. This study focused on the location set covering problem (LSCP) for emergency service facilities under fuzzy environment. On the basis of defining the signed distance of trapezoidal fuzzy number, the ranking rules of trapezoidal fuzzy number are defined, the model of emergency service facil...

We study the behavior of rules for the adjudication of conflicting claims when there are a large number of claimants with small claims. We model such situations by replicating some basic problem. We show that under replication, the random arrival rule (O’Neill, 1982) behaves like the proportional rule, the rule that is the most often recommended in this context. Also, under replication, the min...

A “scoring rule” is an assignment of a value to every tuple (of varying sizes). This paper is concerned with the issue of how to modify a scoring rule to apply to the case where weights are assigned to the importance of each argument. We give an explicit formula for incorporating weights that can be applied no matter what the underlying scoring rule is. The formula is surprisingly simple, in th...

The effects of cutting edge shapes on the phenomena of rubbing and ploughing in nano-abrasive machining were investigated. The shapes under investigation include flat, spherical and trapezoidal shapes. The tool with the flat end geometry shows a fast initiation of ploughing, because it has the largest surface area to engage more atoms. It doesn’t show rubbing phenomenon at the (initial) depth o...

The main aim of this paper is to give an axiomatic characterization of the interval Baker-Thompson rule.

A generalized trapezoid rule is derived. Various error bounds for this rule are established. © 2005 Elsevier Ltd. All rights reserved. MSC: 26D15; 65D30