MET 487 Insrumenaion and Auomaic onrol Sysem Response Paul I-Hai I Lin, Professor Elecrical and ompuer Engineering Technology Purdue Universiy For Wayne ampus Tex Book: Inro o Mecharonics and Measuremen Sysems, 3 rd, by David G. Alciaore and Michael B. Hisand, published by McGraw-Hill Sysem Response Topics of Discussion lassificaion of Sysems Types of Sysems Basic Definiions Ampliude Lineariy Fourier Series Represenaion of Signals Bandwidh and Frequency Response Phase Lineariy Disorion of Signals Dynamic haracerisics of Sysems Zero-Order Sysem Firs-Order Sysem Second-Order Sysem Sysem Modeling and Analogies Sysem Response
Definiions of Sysem Merriam-Webser Webser s s ollegiae Dicionary: a regularly ineracing or independen group of iems forming a unified whole. EIA/IS-63: an inegraed composie of people, producs, and process ha provide a capabiliy o saisfy a saed need or objecive. Sysem Response 3 Definiions of Sysem (con.) MIL-STD STD-499 sandard: a composie of equipmen, skills and echniques capable of performing ad/or supporing an operaional role. A complee sysem includes all equipmen, relaed faciliies, maerial, sofware, service, and personnel required for is operaion and suppor o he degree ha i can be considered a self- sufficien uni in is inended environmen. Sysem Response 4
General haracerisics of a Sysem A sysem consis of complex combinaion of resources in he form of human beings, maerials, equipmen, sofware, faciliies, daa, money, and so on. A sysem is conained wihin some form of hierarchy. A sysem may be broken down ino subsysems and relaed componens. A sysem mus have a purpose. Sysem Response 5 Sysem lassificaion by Applicaions Elecrical and Elecronics Auomaic onrol Sysems: Open Loop losed-loop Roboics Sysem Process onrol Sysem Indusrial onrol and Auomaion Sysems ec Sysem Response 6 3
oninuous Sysem Discree Sysems Digial Sysem Linear Sysem Non-Linear Sysem Dynamic Sysem Types of Sysem Sysem Response 7 Sysem-Based Problem Solving Problem Saemen Sysem Analysis Sysem omponens: Sofware, Hardware, Documenaion, Saffs, ec Sysem Requiremens Sysem Design Modeling and Simulaion Performance Analysis Sysem Prooyping Sysem Inegraion & Tesing Lesson Learned Sysem Response 8 4
Sysem Response - onrol Sysem Linear onrol Sysem x() U() y Plan () x () + Inpu Oupu Feedback y() Sysem Response 9 Sysem Response Measuremen Sysem Three Pars: A Transducer A Signal Processor A Recorder Three rieria: Ampliude Lineariy Adequae Bandwidh Phase Lineariy Sysem Response 5
Linear Nonlinear Ampliude Lineariy ou () ou () α [ in () in ()] x() Inpu x() Inpu y() Oupu y() Oupu Linear Nonlinear Sysem Response Bandwidh and Frequency Response Frequency Response urve (Bode Plo) 3 db Frequency (uoff Frequency) Pou/Pin ½ ou/in (Pou/Pin) (/).77 db log (.5) -3 db Bandwidh ω H ω L Ampliude Raio (ou/in)..77(- 3dB) ωl Bandwidh in Sysem ou db log ( ) ωh Frequency Sysem Response 6
Low-Pass Filer R Low Pass Filer in Sine wave signal/ ou Sine wave signal Phase Shif, Ampliude Aenuaion in Sine Wave in Square Wave in ( ) j ω R + j ω j ω R + R R + ( ω R ) c ou a uoff ω R. 77 X /(πf) A ( ω ) Z R - jx + ( ω / ω ) Sysem Response 3 Low-Pass Filer Lab (Firs Order Sysem) R Low Pass Filer A(ω) ) in/ou ou (ω) R K, K ou in *.77 @. μf,.47μf cuoff frequency in A Square Wave wih ou Saw ooh 5% Duy ycle, o 5 ω /R πf f /(πr) Hz in Square Wave R in R c ou Sysem Response 4 7