Abstract—Several of the practical industrial control processes are multivariable processes. Due to the relation amid the variables (interaction), delay in the loops, it is very intricate to design a controller directly for these processes. So first, the interaction of the variables is analyzed using Relative Normalized Gain Array (RNGA), which considers the time constant, static gain and delay ...

One can prove the following propositions: (1) Let A, B be finite sequences and f be a function. Suppose rngA∪rngB ⊆ dom f. Then there exist finite sequences f1, f2 such that f1 = f · A and f2 = f · B and f · (A a B) = f1 a f2. (2) For every bag b of 0 holds decomp b = 〈〈∅, ∅〉〉. (3) For all natural numbers i, j and for every bag b of j such that i ¬ j holds b↾i is an element of Bags i. (4) Let i...

This paper presents a new control-loop configuration criterion for multivariable processes. Both the steady-state and transient information of the process transfer function are investigated. A new interaction measurement, relative normalized gain array, is proposed for evaluating control-loop interactions. Consequently, a new loop pairing criterion based on the relative normalized gain array is...

Design of centralized PI controllers for multivariable non square systems is proposed in the present work. The controller designed based on direct synthesis method. method includes approximating inverse process transfer matrix with effective function matrix. each element derived by using relative normalized gain array (RNGA), and average residence time (RARTA) concepts Cai et al [1]. models use...

این پژوهش به طراحی ساختار کنترلی و مدلسازی پویای یک برج جداسازی نفت خام بر مبنای آرایه بهره نسبی (rga) و آرایه بهره نرمال شده نسبی (rnga) می پردازد. انتخاب ساختار کنترل چند متغیره در حالت غیرمربعی با استفاده از داده های واقعی برج جداسازی نفت خام تاکنون ارائه نشده است. در این تحقیق، برج جداسازی در دو ظرفیت عملیاتی 40,000 و 60,000 بشکه در روز مدلسازی شد تا عملکرد کنترلی ساختارهای پیشنهادی بررسی ش...

After the ring theoretic study of diierential operators in positive characteristic by S.U. Chase and S.P. Smith, B. Haastert started investigation of D-modules on smooth varieties in positive characteristic, and the work of R. BBgvad followed. The purpose of this paper is to complement some basics for further study. We x an algebraically closed eld k of positive characteristic p. All the variet...