Boundary control of the beam equation by linear quadratic regulation
نویسندگان
چکیده
We present and solve a Linear Quadratic Regulator (LQR) for the boundary control of beam equation. use simple technique completing square to get an explicit solution. By decoupling spatial frequencies we are able reduce infinite dimensional LQR family two LQRs each which can be solved explicitly.
منابع مشابه
control of the optical properties of nanoparticles by laser fields
در این پایان نامه، درهمتنیدگی بین یک سیستم نقطه کوانتومی دوگانه(مولکول نقطه کوانتومی) و میدان مورد مطالعه قرار گرفته است. از آنتروپی ون نیومن به عنوان ابزاری برای بررسی درهمتنیدگی بین اتم و میدان استفاده شده و تاثیر پارامترهای مختلف، نظیر تونل زنی(که توسط تغییر ولتاژ ایجاد می شود)، شدت میدان و نسبت دو گسیل خودبخودی بر رفتار درجه درهمتنیدگی سیستم بررسی شده اشت.با تغییر هر یک از این پارامترها، در...
15 صفحه اولLINEAR QUADRATIC OPTIMAL CONTROL OF A WAVE EQUATION WITH BOUNDARY DAMPING AND POINTWISE CONTROL INPUT by
The linear quadratic optimal regulator problem on a wave equation in a bounded subset of R for n = 2; 3 with boundary damping and pointwise control input is formulated as a linear quadratic control problem with unbounded input/output operators using a variational approach. A dual control system is de ned which allows us to investigate the regularity of the solution of the generalized wave equat...
متن کاملOn the Boundary Control of Beam Equation
A flexible system described by Euler-Bernoulli beam equation is considered. The beam is clamped at one end, and is free at the other end. Boundary control force and torque inputs are applied at the free end of the beam. The transfer functions of the controllers are marginally stable and may contain some poles on the imaginary axis. Various stability results are shown and the application of the ...
متن کاملIndefinite Stochastic Linear Quadratic Control and Generalized Differential Riccati Equation
We consider a stochastic linear–quadratic (LQ) problem with possible indefinite cost weighting matrices for the state and the control. An outstanding open problem is to identify an appropriate Riccati-type equation whose solvability is equivalent to the solvability of this possibly indefinite LQ problem. In this paper we introduce a new type of differential Riccati equation, called the generali...
متن کاملstability of the quadratic functional equation
In the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{E}$$ isgiven where $sigma$ is an involution of the normed space $E$ and$k$ is a fixed positive integer. Furthermore we investigate theHyers-Ulam-Rassias stability of the functional equation. TheHyers-Ulam stability on unbounded domains is also studied.Applic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2021
ISSN: ['1872-7956', '0167-6911']
DOI: https://doi.org/10.1016/j.sysconle.2021.104949