block diagrams

block diagrams - Course Outline Week 28 July Introduction 2...

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1 Mech Mech 3800 : System Control 3800 : System Control Block Diagrams Block Diagrams Dr. Stefan B. Williams Dr. Stefan B. Williams Mech 3800 : Introduction Slide 2 Course Outline Course Outline BREAK 14 Assignment 4 Due Advanced Control Systems Topics 27 Oct. 13 Case Study 20 Oct. 12 Design Techniques for Feedback 2 13 Oct. 11 Design Techniques for Feedback 06 Oct. 10 Assignment 3 Due Bode Plots 2 22 Sept. 9 Bode Plots 15 Sept. 8 Root Locus 2 08 Sept. 7 Assignment 2 Due Root Locus 01 Sept. 6 Feedback System Characteristics 25 Aug. 5 Assignment 1 Due System Response 18 Aug. 4 Block Diagrams 11 Aug . 3 Frequency Domain Modelling 04 Aug. 2 Introduction 28 July 1 Assignment notes Content Date Week Dr. Stefan B. Williams Mech 3800 : Introduction Slide 3 Block Diagrams • As we saw in the introductory lecture, a subsystem can be represented with an input, an output and a transfer function H(s) U(s) Y(s) Dr. Stefan B. Williams Mech 3800 : Introduction Slide 4 Block Diagrams Block Diagrams • Many systems are composed of multiple subsystems • In this lecture we will examine methods for combining subsystems and simplifying block diagrams
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2 Dr. Stefan B. Williams Mech 3800 : Introduction Slide 5 Mathematical Modelling Mathematical Modelling • In the time domain, the input-output relationship is usually expressed in terms of a differential equation h(t) u(t) y(t) •( a n -1 , …, a 0 , b m , … b 0 ) are the system’s parameters, n m • The system is LTI iff the parameters are time-invariant n is the order of the system 1 10 0 1 () nn m nm m dyt d yt dut aa y t b b u t dt dt dt ++ + = + + "" Dr. Stefan B. Williams Mech 3800 : Introduction Slide 6 Mathematical Modelling Mathematical Modelling • In the Laplace domain, the input-output relationship is usually expressed in terms of an algebraic equation in terms of s H(s) U(s) Y(s) 1 0 m sYs a s Ys aYs bsUs bUs + = + + Dr. Stefan B. Williams Mech 3800 : Introduction Slide 7 Cascaded systems Cascaded systems • In time, a cascaded system requires a convolution • In the Laplace domain, this is simply a product h(t) u(t) y 1 (t) h 1 (t) y(t) 1 () ( ()* () )* () y tu t h t h t = H(s) U(s) Y 1 (s) H 1 (s) Y(s) 1 () () () Ys UsHsH s = Dr. Stefan B. Williams Mech 3800 : Introduction Slide 8 A General Control System A General Control System • Many control systems can be characterised by these components Sensor Actuator Process Control Reference D(s) Output Y(s) - + Error E(s) Control Signal U(s) Plant Disturbance Sensor Noise Feedback H(s)
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3 Dr. Stefan B. Williams Mech 3800 : Introduction Slide 9 A General Control System A General Control System
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This note was uploaded on 01/23/2012 for the course EE 4580 taught by Professor Gu during the Fall '10 term at LSU.

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block diagrams - Course Outline Week 28 July Introduction 2...

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