This paper addresses an approximation-based anti-windup (AW) control strategy for suppressing the windup effect caused by actuator saturation nonlinearity in proportional–integral–derivative (PID) controlled systems. The effect of actuator constraint is firstly regarded as a disturbance imported to the PID controller. The external disturbance can then be modeled by a linear differential equatio...

It is introduced that the mass sensitivity (Sm) of an acoustic wave (AW) device with a concentrated mass can be simply determined using its mode shape function: the Sm is proportional to the square of its mode shape. By using the Sm of an AW device with a uniform mass, which is known for almost all AW devices, the Sm of an AW device with a concentrated mass at different locations can be determi...

Multiple flow rates of exhaled nitric oxide (eNO) fraction (F(e,NO)) data can be modelled to estimate airway wall concentration of nitric oxide (C(aw,NO)), diffusing capacity of nitric oxide (D(aw,NO)), alveolar nitric oxide concentration (C(alv,NO)) and total maximal flux of nitric oxide in the airway compartment (J'(aw,NO)). F(e,NO) at 10, 30, 50, 100 and 200 mL.s(-1) from 50 chronic obstruct...

A sequence of positive integers w1, w2, . . . , wn is called an ascending wave if wi+1 − wi ≥ wi − wi−1 for 2 ≤ i ≤ n − 1. For integers k, r ≥ 1, let AW (k; r) be the least positive integer such that under any r-coloring of [1, AW (k; r)] there exists a k-term monochromatic ascending wave. The existence of AW (k; r) is guaranteed by van der Waerden’s theorem on arithmetic progressions since an ...

Recently, the safety of low water activity (aw) foods started to become a major concern. It has been observed that microorganisms may not grow in low-aw foods but can survive for rather long periods of time, representing significant risk. Most researchers have been concentrating on the role of water activity. However, little is known about the effect of water mobility on influencing the surviva...

In this paper, we investigate the anti-Ramsey (more precisely, anti-van der Waerden) properties of arithmetic progressions. For positive integers n and k, the expression aw([n], k) denotes the smallest number of colors with which the integers {1, . . . , n} can be colored and still guarantee there is a rainbow arithmetic progression of length k. We establish that aw([n], 3) = Θ(log n) and aw([n...

This paper addresses an approximation-based anti-windup (AW) control strategy for suppressing the windup effect caused by actuator saturation nonlinearity in proportional–integral–derivative (PID) controlled systems. The effect of actuator constraint is firstly regarded as a disturbance imported to the PID controller. The external disturbance can then be modeled by a linear differential equatio...