block diagrams

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

This preview shows pages 1–4. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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)
3 Dr. Stefan B. Williams Mech 3800 : Introduction Slide 9 A General Control System A General Control System

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 01/23/2012 for the course EE 4580 taught by Professor Gu during the Fall '10 term at LSU.

### Page1 / 10

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online