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디지털제어 강의실 : 담당교수 : 고경철(기계공학부) 사무실 : 산학협력관 105B 면담시간 : 수시

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Presentation on theme: "디지털제어 강의실 : 담당교수 : 고경철(기계공학부) 사무실 : 산학협력관 105B 면담시간 : 수시"— Presentation transcript:

1 디지털제어 강의실 : 담당교수 : 고경철(기계공학부) 사무실 : 산학협력관 105B 면담시간 : 수시
담당교수 : 고경철(기계공학부) 사무실 : 산학협력관 105B 면담시간 : 수시 홈페이지:

2 강좌소개 Text : “디지털제어” 1주: 강좌소개 및 1장 서론 2주: 2장 Z변환 3주: 3장 역Z변환
1주: 강좌소개 및 1장 서론 2주: 2장 Z변환 3주: 3장 역Z변환 4주: 4장 Z모델링 5주: 5장 시간응답 6주: 6장 오차분석 7주: 7장 안정도 8주: 중간시험 9주: 8장 피드포워드보상 10주: 9장 주파수응답 분석 11주: 11장 DC모터 제어기설계 12주: 12장 플랜트 매개변수 추정 13주: 부록B 제어보드 설계 14주: 부록A DC모터 구동시험 15주: 13장 PID제어 실습 16주: 기말시험

3 평가방법 A+: 95%~100% A : 90%~94% B+: 85%~89% B : 80%~84% C+: 75%~79%
D+: 65%~69% D : 60%~65% F : 0%~59% or 출석미달 Closed book Cheating Paper A4 1장 10 times HW’s After due: no point Mid Exam: 30% Final Exam: 30% HW: 10% Project: 10% Attendance: 20% Project Demo & Report F: More than 4 absences -1 point per 1 hr. absence 교재 및 강의자료 미준비 1st = warning 2nd = absence .

4 Kyoung-Chul Koh(kckoh@sunmoon.ac.kr)
DIGITAL CONTROL 목 차 1. Introduction to Digital Control System Kyoung-Chul 4 of 32

5 강의진도 참고문헌 [1주] 1장 서론 [1] 고경철, 이장명 저, “C로 구현한 디지털 제어 시스템”, 홍릉과학서적, 2004
[2] Ogata, Discrete-Time Control System, [3] Dorf, Modern Control Systems, Wesley, 1998 5 of 32

6 Fig.1.1 Intelligent service robot
1-1. Digital systems Recently, - rapidly increasing use of digital controller in control system - digital controller > productivity > profit > low manufacturing cost > low energy consumption Environment system s/w electric mechanical chemical biological social Fig.1.1 Intelligent service robot 6 of 32

7 Fig.1.2 Industrial robots controlled by digital controllers
Computerized control > intelligence to industrial robots > optimal fuel injection control of automobiles > precise control of consumer electronics facilities Merits of digital control systems > decision capability > flexibility Dynamic systems > analogue control -> digital control > continuous signal -> digital signal Fig.1.2 Industrial robots controlled by digital controllers 7 of 32

8 Kyoung-Chul Koh(kckoh@sunmoon.ac.kr)
DIGITAL CONTROL 목 차 1. Introduction to Digital Control System Kyoung-Chul 8 of 32

9 강의진도 참고문헌 [1주] 1장 서론 [1] 고경철, 이장명 저, “C로 구현한 디지털 제어 시스템”, 홍릉과학서적, 2004
[2] Ogata, Discrete-Time Control System, [3] Dorf, Modern Control Systems, Wesley, 1998 9 of 32

10 Fig.1.1 Intelligent service robot
1-1. Digital systems Recently, - rapidly increasing use of digital controller in control system - digital controller > productivity > profit > low manufacturing cost > low energy consumption Environment system s/w electric mechanical chemical biological social Fig.1.1 Intelligent service robot 10 of 32

11 Fig.1.2 Industrial robots controlled by digital controllers
Computerized control > intelligence to industrial robots > optimal fuel injection control of automobiles > precise control of consumer electronics facilities Merits of digital control systems > decision capability > flexibility Dynamic systems > analogue control -> digital control > continuous signal -> digital signal Fig.1.2 Industrial robots controlled by digital controllers 11 of 32

12 Fig.1.3 classification of control signals
1-3. Digital Signal classification of signals, - continuous-time analogue signal > defined in continuous time domain > magnitude >> continuous domain - continuous-time quantized signal >> finite number domain : quantization >>> finite word length: 32bit, 64bit - sampled analogue signal > discrete time domain > continuous value domain - digital signal > quantized value domain X(t) X(t) t t (a) continuous signal (b) sampled signal X(t) X(t) t t (c) quantised signal (d) digital signal Fig.1.3 classification of control signals 12 of 32

13 Fig.1.4 Open loop control system
1-4. Terminologies linear system time variant vs. time invariant sytems discrete time control system vs, continuous time control system interpolation differential equation vs. linear difference equation sampling process - Radar tracking system : scanning by beam - Plant process control: very slow response - sampling vs. discretization Digital control system + Feedforward controller + Plant Fig.1.4 Open loop control system 13 of 32

14 Feedback control system
1-4. Terminologies Feedback control system Feedback Loop Controller + + + Plant - Fig.1.5 Closed loop control system 14 of 32

15 1-4. Terminologies Sampling - Discretization > opp. data hold
A/D conversion - encoding - quantization - sample and hold -> AD conversion Sample and hold D/A conversion - decoder Plant - approximate mode - linearization - ex: furnace, chemical process, servo mechanism, aircraft, mechanical devices Process - chemical, economical, biological processes s/w electric mechanical chemical biological social Environment system 15 of 32

16 1-5. Quantization Fig.1.6 Quantisation process Quantization
- nearest approximation where FSR is full-scale range Quantizer - MSB vs. LSB Fig.1.6 Quantisation process 16 of 32

17 1-5. Quantization Fig.1.7 Quntisation error Quantization error
- finite resolution - round-off error Fig.1.7 Quntisation error 17 of 32

18 1-6. Digital Control System
Feedforward controller S.H and A/D Feedback D/A Hold Plant Clock Digital Filter Digital controller Noise Transducer or sensor Disturbances + _ Output input Fig.1.8 Block diagram of digital control system 18 of 32

19 1-6. Digital Control System
Signal processing - multiplexing and demultiplexing - sample and hold - AD conversion (Quantization) - DA conversion (Decoding) - filtering S.H and A/D converter Digital computer D/A Hold circuit Actuator Plant or process Clock Filter + _ 001 010 100 011 Fig.1.9 Signal processing of digital control systems 19 of 32

20 1-6. Digital Control System
Physical variable Transducer Amplifier Low pass Filter Analog multiplexer Sample & Hold A/D converter To digital controller (a) A/D conversion process From digital controller Register Demultiplexer D/A converter Hold To actuator (b) D/A conversion process Fig.10. Digital signal processors 20 of 32

21 1-6. Digital Control System
Analogue multiplexer - electrical swithes Demultiplexer sample & Hold Input channels Select control Fig.1.11 Multiplexer 21 of 32

22 1-6. Digital Control System
Sample and hold circuit - hold capacitor - buffer with high input impedance - tracking mode and hole mode Analog output Analog input Amp.1 Amp.2 Sampler Sample and hold command Fig.1.12 Sample and hold circuit 22 of 32

23 1-6. Digital Control System
Sample and holer - tracking mode and hold mode - aperture time Hold mode droop x(t) Sample to hold offset Input signal output signal Aperture time t Tracking Mode Hold Mode Hold command Is given here Fig.1.13 Operation mode of sample and hold circuit 23 of 32

24 1-6. Digital Control System
AD conversion - quantization - types > successive approximation - MSB -> LSM - conversion time = 2usec for 12bit conversion > integrating type > counter type > parallel type D/A converter Digital output ….. Successive Approximation register Clock Analog input comparator Fig.1.14 A/D converter circuit 24 of 32

25 1-6. Digital Control System
AD conversion error - offset - non-linearity - gain error 111 111 111 100 100 100 000 000 000 1/2FS FS 1/2FS FS 1/2FS FS (c) Gain error (a) Offset error (b) Linearity error Fig.1.15 AD conversion error 25 of 32

26 1-6. Digital Control System
DA converter - binary register R 2R 4R 8R Vo b0 b1 b2 b3 Vref Fig.1.16 Binary register circuit ref. [1] pp.32-33 26 of 32

27 1-6. Digital Control System
DA converter - R-2R ladder circuit 3R 2R R R R 2R Vo 2R 2R 2R 2R 2R b0 b1 br-3 br-2 br-1 -Vref Fig.1.17 R-2R ladder circuit 27 of 32

28 Fig.1.18. Signal from zero order hold circuit
1-7. Hold circuits Zero order hold Output Output t Fig Signal from zero order hold circuit 28 of 32

29 Fig.1.18. Signal from the first order hold circuit
1-7. Hold circuits First order hold - efficient for slowly varying signal Output Output Fig Signal from the first order hold circuit 29 of 32

30 Fig.1.20 Signal from polygon hold circuit
1-7. Hold circuits polygonal hold - instability problem Output Fig.1.20 Signal from polygon hold circuit 30 of 32

31 Fig.1.21 Perspective of digital control systems
1.8 The future evolution of control systems Control system - flexibility - high level of autonomy Sensory limitation - computer vision - no adaptibility to environment > need human supervision Advanced robotics system - task adaptibility - artificial intelligence - sensor integration - off-line programming - human-machine interface > database management > communications > programming language FactoryAutomation Power tools Hand tools Robotics NC Machines Automated society Improvements: *Sensors *Vision *Languages *Artificial intelligence Electric machines Automatic machine Automatic Control Systems Computer Control Systems (programmable) Intelligent controller *Man-machine interface *Supervisory control LOW HIGH Flexibility Autonomy Fig.1.21 Perspective of digital control systems 31 of 32

32 HW#1 문제 1.1, 문제 1.3 Due: Next week this time 32 of 32


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