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This article discusses the Lyapunov-Krasovskii functional method for the stability problem of coupled differential-functional equations with distributed delays and one discrete delay. However, systems with distributed delays and multiple commensurate discrete delays can be easily transformed to the standard form treated in this article. This standard form represents a very general class of time-delay...
This paper presents an application of the continuous-time deadbeat control, which is proposed recently based on the finite pole assignment for linear systems with time delay. The control object used here is a carriage, which is build with LEGO MINDSTORMS NXT as a model of crane for LCD manufacturing line. The implementation includes modeling, design, and implementation for a cheap microprocessor for...
This article discusses the problem of determining the parameter sets of stabilizing PID controllers for first-order plus double integrating processes with time-delay. The method adopted in the article is based on a version of Hermite-Biehler theorem valid for quasi-polynomial and a graphical stability criterion for time-delay systems. The admissible range of proportional-gain is first derived. Then,...
This paper investigates how to use robust model prediction control in air-conditioning systems. Air-conditioning processes are described using a first-order plus time-delay model associated with uncertainties in process gain, time constant and time-delay. An uncertainty polytope is developed to describe the corresponding uncertainties when the continuous model is sampled into a discrete one and further...
In this paper we consider the dynamical stability of a tree-shape networks of Timoshenko beams with time-delay terms in the boundary controls. The time-delay feedback controllers at the exterior vertices are designed to derive the beams back to its equilibrium position. We first get the wellposedness of the closed loop system. Under certain conditions, we show that this system is asymptotically stable...
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