Bài giảng Fundamentals of Control Systems - Chapter 6: Design of continuous control systems - Huỳnh Thái Hoàng
Determine the state variable feedback gains to achieve a settling time (with a 2% criterion) of 1 second and an overshoot of about 10%. Also sketch the block diagram of the resulting system. Assume the complete state vector is available for feedback.
Exercises Fundamentals of Control Systems Instructor: Dr. Huynh Thai Hoang Department of Automatic Control Faculty of Electrical & Electronics Engineering Ho Chi Minh City University of Technology Email: hthoang@hcmut.edu.vn huynhthaihoang@yahoo.com Homepage: www4.hcmut.edu.vn/~hthoang/ 30 October 2014 © H. T. Hoang - www4.hcmut.edu.vn/~hthoang/ 1 Exercises for Chapter 6 DESIGN OF CONTINUOUS CONTROL SYSTEMS 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 2 References K t hik Ot M d C t l E i i 3 d d a su o aga, o ern on ro ng neer ng, r e ., Prentice Hall, (1997) Franklin, Powell, and Emami-Naeini, Feedback Control of Dynamic Systems, 6th ed., Prentice Hall, (2009) Farid Golnaraghi and Benjamin C. Kuo, Automatic Control Systems, 9th ed., 2009, Prentice Hall. Richard C. Dorf and Robert H. Bishop, Modern Control Systems, 11th ed, Peason (2008) 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 3 Design of phase lead / phase lag compensator 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 4 Exercise E10.14 (Modern Control Systems) Remote-robot control system (cont ). R( ) Y( )s G(s)+ s GC(s) 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 5 Exercise AP10.1 (Modern Control Systems) Pick and place robot control- - Design requirements: 13%POT £ s 3sec (2% criterion)t < 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 6 Exercise AP10.8 (Modern Control Systems) Manutec robot dynamics: 250( ) s( 2)( 40)( 45) G s s s s = + + + Design requirements: 20%POT < 1.2sec (2% criterion)st < 10vK ³ 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 7 Exercise DP10.6 (Modern Control Systems) Antenna position control Design requirements: 5%POT £ s 2sec (2% criterion)t < 0.01 (ramp input)sse £ 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 8 Exercise DP10.1 (Modern Control Systems) Two robots cooperate to insert a shaft Design requirements: 25%POT £ s 2sec (2% criterion)t < 0.0125 (ramp input)sse £ R( ) Y( )s G(s)+ s GC(s) 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 9 Exercise P10.9 (Modern Control Systems) Path-controlled turret lathe 3 2 R0.1; 10 ; 10 ; 5n J b K - -= = = = Design a cascade compensator to be inserted before the silicon-controlled rectifiers such that: 5%;POT < 2.5% (step input)sse £ 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 10 Design using root locus method and Bode diagram method Exercise P10.19 (Modern Control Systems) Remote-robot control system CG 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 11 Exercise P10.19 (Modern Control Systems) Remote-robot control system (cont ). CG 1 28; 0 25T t Design requirements: 5% (step input)e £ . .= = ss 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 12 D i f PID t lles gn o con ro ers 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 13 Exercise P10.7 (Modern Control Systems) Nuclear reactor control 0.4s ( ) 0 2 1 eG s - = + ( ) IC P KG s K= + . s s Design requirements: 10%POT < E ti t th ttli ti (2% it i ) 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 14 s ma e e se ng me cr er on Exercise DP10.8 (Modern Control Systems) Engine control system 0.066secT = Design requirements: 5%POT £ 10 (2% i i ) 0 (step input)sse = s sec cr ter ont £ 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 15 Exercise DP10.9 (Modern Control Systems) Roll angle control of a jet airplane- Design requirements: step response is well behaved and the 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 16 steady-state error is zero. Exercise DP10.4 (Modern Control Systems) Control a robot by vision feedback Design requirements: 5%POT £ 0 ( i ) s 6sec (2% criterion)t £ step nputsse = R(s) Y(s) G(s)+ GC(s) 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 17 Design of state feedback controller and state observer 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 18 Exercise P11.16 (Modern Control Systems) 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 19 Exercise P11.14 (Modern Control Systems) 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 20 Exercise P11.27 (Modern Control Systems) 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 21 Exercise AP11.13 (Modern Control Systems) 30 October 2014 © H. T. Hoàng - www4.hcmut.edu.vn/~hthoang/ 22
File đính kèm:
- bai_giang_fundamentals_of_control_system_chapter_6_design_of.pdf