Properties Of Transport System Research Articles

Output tracking and disturbance rejection for 1-D anti-stable wave equation

In this paper, we solve the output tracking and disturbance rejection problem for a system described by a one-dimensional anti-stable wave equation, with reference and disturbance signals that belong to W1,∞[0, ∞) and L∞[0, ∞), respectively. Generally, these signals cannot be generated from an exosystem. We explore an approach based on proportional control. It is shown that a proportional gain controller can achieve exponentially the output tracking while rejecting disturbance. Our method consists of three steps: first, we convert the original system without disturbance into two transport equations with an ordinary differential equation by using Riemann variables, then we propose a proportional control law by making use of the properties of transport systems and time delay systems. Second, based on our recent result on disturbance estimator, we apply the estimation/cancellion strategy to cancel to the external disturbance and to track the reference asymptotically. Third, we design a controller using a state observer. Since disturbance does not appear in the observer explicitly (the disturbance is exactly compensated), the controlled output signal is exponentially tracking the reference signal. As a byproduct, we obtain a new output feedback stabilizing control law by which the resulting closed-loop system is exponentially stable using only two displacement output signals.

Properties of the lactose transport system in Klebsiella sp. strain CT-1.

Highly purified [D-glucose-1-14C]lactose has been used to study the transport of lactose by Klebsiella sp. strain CT-1. Strain CT-1 transports lactose by a lactose-inducible system that exhibited an apparent Km of 6 mM lactose and an apparent Vmax of 140 nmol/min per mg of cell protein. Lactose uptake was inhibited competitively by o-nitrophenyl-beta-D-galactoside with a Ki value of 8 mM, but was not inhibited by thio-beta-methyl-galactoside. D-Glucose, D-mannose, 2-deoxyglucose, and alpha-methyl-D-glucoside also inhibited lactose uptake. Phosphoenolpyruvate-dependent hydrolysis of o-nitrophenyl-beta-D-galactoside and lactose-dependent release of pyruvate from phosphoenolpyruvate by benzene-treated CT-1 cells showed that CT-1 transports lactose by a phosphoenolpyruvate:sugar phosphotransferase system. Correlations between the growth rate of CT-1 on lactose and properties of the transport system indicated that transport is the rate limiting step in utilization of lactose.