In this paper we compare the behaviour of the LQR solution for a finite platoon model with its infinite version. We give examples where these are similar and some where they are quite different. For the scalar case we obtain sufficient conditions for the LQR solutions to be similar by relating the Toeplitz approximations to circulant approximating systems.

تأثیر پرتوگیری مزمن بر ساکنین مناطق با پرتوزایی طبیعی بالا در شهر رامسر، استفاده از روش سیتوژنتیک سنجش هستک­های متوقف شده مرحله سیتوکینز و مقایسه­ی نتایج میان دو گروه مورد مطالعه کنترل، بررسی قرار گرفت. نشان داد اختلاف معنی­داری (001/0< P) میانگین فرکانس شمارش لنفوسیت­های خون محیطی (ساکن منطقه­ی بالای رامسر) کنترل تنکابن) وجود دارد. هم­چنین، بعد پرتودهی نمونه­ها، افزایش بیش­تری را هستک­ها نسبت ...

A tape transport system consisting of a take-up reel servo, a supply-reel servo, and a capstan servo is proposed. The mathematical model of the system is derived. Two well know controllers – Linear Quadratic Regulator (LQR) and P/PI controller, are designed to regulate the output of the system. An input gain matrix N is calculated and applied to the LQR to eliminate steady-state offset. Simulat...

This paper provides a strategy to schedule a real time distributed system. Modifications on frequency transmission (task periods) of system’s individual components impact on system quality performance. In this work the authors propose a dynamic linear time invariant model based upon frequency transmission of agents in a distributed system and using LQR control approach to bring the system into ...

This paper discusses a multiple input and multiple output (MIMO) model to simulate a two link rigid manipulator. The mathematical modeling of two link rigid manipulator is obtained by using Euler’s Lagranges method.The model is non linear and the response is unbounded. Proportional Integral Derivative (PID) and Linear quadratic regulator(LQR ) are designed and the responses are compared using M...

The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by fractional-order differential equation. First, as an example of such system, viscoelastically damped structure is selected. Second, LQR designed for in which terms are contained the equation motion. An iteration-based method solving algebraic Riccati proposed order obtain feedback gains LQR. ...

Active Queue Management (AQM) takes a trade-off between link utilization and delay experienced by data packets. From control point of view, it is rational to regard AQM as a typical regulation system. In this paper, two types of controllers, i.e. Sliding Mode Variable Structure (SMVS) controller and optimal Linear Quadratic Regulator (LQR) are designed for AQM. Simulation results conform the ro...

This paper derives linear quadratic regulator (LQR) results for boundary controlled parabolic partial differential equations (PDEs) via weak-variations. Research on optimal control of PDEs has a rich 40-year history. This body of knowledge relies heavily on operator and semigroup theory. Our research distinguishes itself by deriving existing LQR results from a more accessible set of mathematics...