Mathematical modeling | Classical control theory
Classical control theory is a branch of control theory that deals with the behavior of dynamical systems with inputs, and how their behavior is modified by feedback, using the Laplace transform as a basic tool to model such systems. The usual objective of control theory is to control a system, often called the plant, so its output follows a desired control signal, called the reference, which may be a fixed or changing value. To do this a controller is designed, which monitors the output and compares it with the reference. The difference between actual and desired output, called the error signal, is applied as feedback to the input of the system, to bring the actual output closer to the reference. Classical control theory deals with linear time-invariant single-input single-output (SISO) systems. The Laplace transform of the input and output signal of such systems can be calculated. The transfer function relates the Laplace transform of the input and the output. (Wikipedia).
Everything You Need to Know About Control Theory
Control theory is a mathematical framework that gives us the tools to develop autonomous systems. Walk through all the different aspects of control theory that you need to know. Some of the concepts that are covered include: - The difference between open-loop and closed-loop control - How
From playlist Control Systems in Practice
Ludovic Rifford : Geometric control and dynamics
Abstract: The geometric control theory is concerned with the study of control systems in finite dimension, that is dynamical systems on which one can act by a control. After a brief introduction to controllability properties of control systems, we will see how basic techniques from control
From playlist Dynamical Systems and Ordinary Differential Equations
1. Introduction and Basic Concepts
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Eigenvalues and Modes of Linear Systems
In this video we discuss how the eigenvalues of the A matrix lead to the modes of a linear state space system. We will also examine how to chose initial conditions to excite a specific mode. In other words, we use a carefully chosen initial condition to ensure that the state response of
From playlist Control Theory
Transfer Functions: Introduction and Implementation
In this video we introduce transfer functions and show how they can be derived from a set of linear, ordinary differential equations. We also examine how to use a transfer function to predict the output of system to a given input. Topics and time stamps: 0:38 – Example using an aircraft
From playlist Control Theory
Classical Mechanics | Lecture 1
(September 26, 2011) Leonard Susskind gives a brief introduction to the mathematics behind physics including the addition and multiplication of vectors as well as velocity and acceleration in terms of particles. This course is the beginning of a six course sequence that explores the theor
From playlist Lecture Collection | Classical Mechanics (Fall 2011)
How to Get Classical Physics from Quantum Mechanics
We tend to think of Classical Physics as straightforward and intuitive and Quantum Mechanics as difficult and conceptually challenging. However, this is not always the case! In classical mechanics, a standard technique for finding the evolution equations for a system is the method of least
From playlist Quantum Mechanics
!!Con West 2019 - Wesley Aptekar-Cassels: Robots, rockets, and more! Control theory in 10 minutes!
Presented at !!Con West 2019: http://bangbangcon.com/west Control theory is a branch of science and engineering dedicated to understanding and analyzing systems, how they respond to input, and how to control them. Learning about control theory has changed the way I view the world — having
From playlist !!Con West 2019
Emergence of singularities from decoherence in a Josephson junction by Duncan H J O'Dell
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
Optimal control of spin systems with applications in (...) - D. Sugny - Workshop 2 - CEB T2 2018
Dominique Sugny (Univ. Bourgogne) / 05.06.2018 Optimal control of spin systems with applications in Magnetic Resonance Optimal control can be viewed as a generalization of the classical calculus of variations for problems with dynamical constraints. Optimal control was born in its modern
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
A Toy Model for Time Evolving QFT on Lattice with Controllable Chaos by David Berenstein
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
Peter E. Caines: Graphon Mean Field Games and the GMFG Equations
Very large networks linking dynamical agents are now ubiquitous and there is significant interest in their analysis, design and control. The emergence of the graphon theory of large networks and their infinite limits has recently enabled the formulation of a theory of the centralized contr
From playlist Probability and Statistics
Advances in Quantum Spectral Estimation - L. Viola - PRACQSYS 2018 - CEB T2 2018
Lorenza Viola (Department of Physics and Astronomy, Dartmouth College, Hanover, USA) / 03.07.2018 Advances in Quantum Spectral Estimation Accurately characterizing the spectral properties of environmental noise in open quantum systems is both a prerequisite for quantitative modeling and
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Classical Mechanics | Lecture 3
(October 10, 2011) Leonard Susskind discusses lagrangian functions as they relate to coordinate systems and forces in a system. This course is the beginning of a six course sequence that explores the theoretical foundations of modern physics. Topics in the series include classical mechani
From playlist Lecture Collection | Classical Mechanics (Fall 2011)
Probabilistic conformal block and its semi-classical limit - Promit Ghosal
Probability Seminar Topic: Probabilistic conformal block and its semi-classical limit Speaker: Promit Ghosal Affiliation: Massachusetts Institute of Technology Date: September 09, 2022 Conformal blocks are fundamental objects in the conformal bootstrap program of 2D conformal field theor
From playlist Mathematics
Giuseppe Mingione - 23 September 2016
Mingione, Giuseppe "Recent progresses in nonlinear potential theory"
From playlist A Mathematical Tribute to Ennio De Giorgi
60 Sritharan - Stochastic Navier-Stokes equations - solvability & control
PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW DATES Monday 03 Dec, 2012 - Thursday 20 Dec, 2012 VENUE School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram Stochastic analysis and control of fluid flow problems have
From playlist Winter School on Stochastic Analysis and Control of Fluid Flow