Advanced Automation

[lecture #1] 2010.9.2 review of classical control theory (given by Prof. Kimura)

[lecture #2] 2010.9.9 CACSD introduction

  • introduction of Matlab and Simulink

[lecture #3] 2010.9.16 CACSD introduction

  • review of clasical control theory
    1. transfer function
    2. Bode diagram
    3. characteristics of 2nd-order system
    4. Nyquist stability criterion
    5. gain margin and phase margin
  • review of modern control theory
    1. state-space representation

[lecture #4] 2010.9.30 Intro. to Robust Control

  • H infinity norm
    1. robust stabilization
    2. performance improvement
s = tf('s')
G = 1/(s+1)
norm(G, 'inf')
P = 1/(s^2 + 0.2*s + 1)
K = 1
help impulse
T = 1/(1 + P*K)

[lecture #5] 2010.10.7 Introduction to Robust Control (cont.)

  • H infinity norm
    1. robust stabilization <--
    2. performance improvement

[lecture #6] 2010.10.14 norm, vector space, normed linear space

  • H infinity norm ... {robust stabilization, performance improvement}
  • norm
    • size of {number, signal, system}
    • defined on vector space (linear space)
      • ---> normed linear space
      • ... optimization

[lecture #7] 2010.10.21 eigenvalue, eigenvector, singular value decomposition

  • H infinity norm : scalar (SISO) ---> matrix (MIMO)
    • absolute value ---> maximum singular value
    • background: mixed sensitivity problem {robust stabilization and performance improvement are simultaneously considered}
A = [2, 1; 0, 1]
[X, L] = eig(A)
X*L/X - A
[U, S, V] = svd(A)
U*S*V' - A

[lecture #8] 2010.10.28 state space representation of connected system, state space representation of generalized plant for various control problem, mixed sensitivity problem

[lecture #9] 2010.11.4 robust control design example: Robust Control System Synthesis for Pneumatic Systems (given by Prof. Kimura)

see RubustControlOfPneumatic-e.pdf in Prof. Kimura's homepage for detail

[lecture #10] 2010.11.11 robust control design example (cont.)

  1. Design H infinity controller with Eqs.(41)-(47) and generalized plant depicted in Fig.3 in the pdf file.
    1. Confirm the following m-file for design:
    2. Derive the generalized plant by hand and correct the m-file.
    3. Run the m-file to find controller.
  2. Simulation
plot(t, y, 'r', t, r, 'b');

plot(t, y, 'r', t, n, 'b')

[lecture #11] 2010.11.18 robust control design example (cont.) (given by Prof. Kimura)


  1. step response
  2. noise response (noise type: step, sinusoidal wave 1Hz, 50Hz, 500Hz)
  3. initial response (x(0) = [1;0;0])

[lecture #12] 2010.11.25 Speed control of two inertia system with servo motor (1/3)

  • simulation (cont. from Nov.18)
  • Problem setup
  • Modelling (frequency response experiment)

[lecture #13] 2010.12.2 Speed control of two inertia system with servo motor (2/3)

  • report
  1. design your controller so that the system performance is improved compared with the given example above
  2. Draw the following figures and explain the difference between two control systems:
    1. bode diagram of controllers
    2. gain characteristic of closed-loop systems
    3. time response of control experiment
  3. Why is the performance of your system improved(or unfortunately decreased)?
    • due date: 28th(Tue) Dec 17:00
    • submit your report(pdf or doc) by e-mail to
    • You can use Japanese
    • maximum controller order is 20
    • submit your cont.dat and cont_order.dat to not later than 24th Dec
  • program sources for frequency response experiment
    • format of frdata.dat file
      • 1st column: frequency (Hz)
      • 2nd column: gain
      • 3rd column: phase (deg)
  • program sources for control experiment
    • format of result.dat file
      • 1st column: time (s)
      • 2nd column: motor speed (rad/s)
      • 3rd column: motor torque (Nm)
      • 4th column: reference speed (rad/s)
  • configuration of control experiment
    • reference signal is generated as described in hinf_module.c:
      if((t > 3)&&(t < 7)){
        r = 10.0;
        r = 5;
    • two inertia-load discs (small and large) are used
  • Difficulties of our plant: As motor speed is approximately calculated by using difference for one sampling period in hinf_module.c like
    thetaM_rad = (double)read_theta(1) / (double)Pn212 * 2 * M_PI;
    speedM_rad = (thetaM_rad - thetaM_rad_before) / msg->sampling_period;
    thetaM_rad_before = thetaM_rad
    sampling period should not become too small. On the other hand, sampling period should be chosen as small as possible so that desiged continuous-time controller could be closely implemented by its descretized version. Therefore, we have a dilemma to control our plant. The sampling period 0.25 msec was chosen by traial and error so that noise in measured speed is not too large. The gain in high frequency range of continuous-time controller should be small enough for discretization.

[lecture #14] 2010.12.9 Speed control of two inertia system with servo motor (3/3)

Due to a dimension change of the driven shaft, frequency response experiment has been re-conducted. Please use the following fixed files instead of the ones introduced on the previous lecture.

[lecture #15] 2010.12.16 Speed control of two inertia system with servo motor (cont.)

  • preparation of your own controller(s)

participant list2010

related links

添付ファイル: file2010.12.9-1.jpg 249件 [詳細] fileresult_small2_fixed.dat 338件 [詳細] fileresult_small1_fixed.dat 408件 [詳細] fileresult_large2_fixed.dat 392件 [詳細] fileresult_large1_fixed.dat 411件 [詳細] filefrdata_offset10_small_fixed.dat 312件 [詳細] filefrdata_offset10_large_fixed.dat 298件 [詳細] filefrdata_offset5_small_fixed.dat 308件 [詳細] filefrdata_offset5_large_fixed.dat 302件 [詳細] filecont_order2_fixed.dat 303件 [詳細] filecont_order1_fixed.dat 305件 [詳細] filecont2_fixed.mat 241件 [詳細] filecont2_fixed.dat 303件 [詳細] filecont1_fixed.mat 242件 [詳細] filecont1_fixed.dat 293件 [詳細] filecont_fixed.m 318件 [詳細] fileweight_fixed.m 297件 [詳細] filenominal_fixed.m 314件 [詳細] filefreqresp_fixed.m 298件 [詳細] file2010.12.2-2.jpg 222件 [詳細] file2010.12.2-1.jpg 240件 [詳細] filefreqresp_module.c 327件 [詳細] filefreqresp_app.c 351件 [詳細] filefreqresp.h 299件 [詳細] filehinf_module.c 293件 [詳細] filehinf_app.c 311件 [詳細] filehinf.h 282件 [詳細] filecompare.m 313件 [詳細] filecont2.mat 308件 [詳細] filecont1.mat 259件 [詳細] fileresult_small2.dat 333件 [詳細] fileresult_small1.dat 297件 [詳細] fileresult_large2.dat 329件 [詳細] fileresult_large1.dat 394件 [詳細] filecont_order2.dat 266件 [詳細] filecont_order1.dat 315件 [詳細] filecont2.dat 276件 [詳細] filecont1.dat 302件 [詳細] filecont.m 390件 [詳細] fileweight.m 347件 [詳細] filenominal.m 303件 [詳細] filefreqresp.m 290件 [詳細] filefrdata_offset10_small.dat 327件 [詳細] filefrdata_offset10_large.dat 320件 [詳細] filefrdata_offset5_small.dat 315件 [詳細] filefrdata_offset5_large.dat 297件 [詳細] filefrdata_offset0_small.dat 323件 [詳細] filefrdata_offset0_large.dat 310件 [詳細] filesetup.pdf 303件 [詳細] file2010.11.18-1.jpg 239件 [詳細] file2010.11.25-1.jpg 242件 [詳細] fileapparatus.pptx 277件 [詳細] file2010.11.11-2.jpg 282件 [詳細] file2010.11.11-1.jpg 270件 [詳細] filesimu_pneum_noise.mdl 352件 [詳細] filesimu_pneum.mdl 351件 [詳細] filepneum_ans.m 305件 [詳細] filepneum.m 317件 [詳細] file2010.11.4-2.jpg 218件 [詳細] file2010.11.4-1.jpg 253件 [詳細] file2010.10.28-2.jpg 271件 [詳細] file2010.10.28-1.jpg 272件 [詳細] fileex26.m 312件 [詳細] file2010.10.21-5.jpg 275件 [詳細] file2010.10.21-4.jpg 263件 [詳細] file2010.10.21-3.jpg 262件 [詳細] file2010.10.21-2.jpg 266件 [詳細] file2010.10.21-1.jpg 283件 [詳細] file2010.10.14-4.jpg 284件 [詳細] file2010.10.14-3.jpg 244件 [詳細] file2010.10.14-2.jpg 279件 [詳細] file2010.10.14-1.jpg 278件 [詳細] filenorm2.pdf 337件 [詳細] filenorm.pdf 344件 [詳細] file2010.10.7-4.jpg 281件 [詳細] file2010.10.7-3.jpg 269件 [詳細] file2010.10.7-2.jpg 271件 [詳細] file2010.10.7-1.jpg 272件 [詳細] filemod2.mdl 405件 [詳細] fileex25.m 482件 [詳細] fileex24.m 432件 [詳細] fileex23.m 377件 [詳細] file2010.9.30-3.jpg 283件 [詳細] file2010.9.30-2.jpg 287件 [詳細] file2010.9.30-1.jpg 265件 [詳細] fileex22.m 384件 [詳細] fileex21.m 382件 [詳細] file2010.9.16-2.jpg 277件 [詳細] file2010.9.16-1.jpg 270件 [詳細] filemod1.mdl 415件 [詳細] fileex4.m 375件 [詳細] fileex3.m 389件 [詳細] fileex2.m 394件 [詳細] fileex1.m 409件 [詳細] file2010.9.9-2.jpg 308件 [詳細] file2010.9.9-1.jpg 315件 [詳細]

トップ   編集 凍結 差分 バックアップ 添付 複製 名前変更 リロード   新規 一覧 単語検索 最終更新   ヘルプ   最終更新のRSS
Last-modified: 2010-12-16 (木) 13:21:01 (2535d)