%% ABOUT THIS FILE % ---------------------------------------------------------------------- % Parmeter setting for Damping CONTROL MODE % Type-B SAS for KAGRA % Coded by Y. Fujii on July 21th, 2018. % ---------------------------------------------------------------------- %% CONSTANTS pp=2*pi; %% ACTUATOR NORMALIZATION % Normalize the actuators using local sensors at 0 Hz % F0 (Normalized with LVDT signals) gain_act_LIP = 14.0873018646; gain_act_TIP = 14.0873018646; gain_act_YIP = 10.5199067183; % IM (Normalized with OSEM signals) gain_act_LIM = 13.5706673475; gain_act_TIM = 13.572424637; gain_act_VIM = 16.5498508245; gain_act_RIM = 1.3506116279; gain_act_PIM = 1.3442511683; gain_act_YIM = 0.62257280636; % TM (Normalized with OSEM signals) gain_act_LTM = 13.0833579555; gain_act_PTM = 1.0913493272; gain_act_YTM = 1.63714586482; % GAS (Normalzed with LVDT signals) gain_act_GASF0 = 29.6956935458; gain_act_GASF1 = 26.0113434191; gain_act_GASBF = 16.5976532577; %% OpLev Coupling Sens_Mat_OL = [... 1,0,0,0,0,0; ... 0,1,0,0,0,0; ... 0,0,1,0,0,0; ... 0,0,0,1,0,0; ... 0,0,0,0,1,0; ... 0,0,0,0,0,1]; %% ACTUATOR COUPLING MATRIX %(L, T, V, R, P, Y) % BF actuator position shift: %dv_BF = 0.022; %dv_BR = -0.103; %dv_BF = -0.005; %dv_BR = -0.0; %dv_BF = 0.0; %dv_BR = 0.0; %Act_Mat_BR = [... % 1,0,0,0,0,0; ... % 0,1,0,0,0,0; ... % 0,0,1,0,0,0; ... % 0,0,0,1,0,0; ... % dv_BR,0,0,0,1,0; ... % 0,0,0,0,0,1]; %Act_Mat_BF = [... % 1,0,0,0,0,0; ... % 0,1,0,0,0,0; ... % 0,0,1,0,0,0; ... % 0,0,0,1,0,0; ... % dv_BF,0,0,0,1,0; ... % 0,0,0,0,0,1]; Act_Mat_IR = [... 1,0,0,0,0,0; ... 0,1,0,0,0,0; ... 0,0,1,0,0,0; ... 0,0,0,1,0,0; ... 0,0,0,0,1,0; ... 0,0,0,0,0,1]; Act_Mat_IM = [... 1,0,0,0,0,0; ... 0,1,0,0,0,0; ... 0,0,1,0,0,0; ... 0,0,0,1,0,0; ... 0,0,0,0,1,0; ... 0,0,0,0,0,1]; Act_Mat_RM = [... 1,0,0,0,0,0; ... 0,1,0,0,0,0; ... 0,0,1,0,0,0; ... 0,0,0,1,0,0; ... 0,0,0,0,1,0; ... 0,0,0,0,0,1]; Act_Mat_TM = [... 1,0,0,0,0,0; ... 0,1,0,0,0,0; ... 0,0,1,0,0,0; ... 0,0,0,1,0,0; ... 0,0,0,0,1,0; ... 0,0,0,0,0,1]; %% BLENDING FILTERS % This part constructs filters for blending LVDT and geophone signals. % Blending filters are constructed from polynominal expression of a Laplace % transformed equation (s+w0)^n, where w0 is the blending frequency and n % is an arbitrary (odd) integer. % % % BLENDING FREQUENCY: 0.3 Hz % f_blend = 0.5; % w_blend = f_blend*pp; % % % COEFFICIENTS LIST OF POLYNOMINAL EXPRESSION OF (s+w0)^n % n_blend = 7; % 5th order blending % nbd = (n_blend+1)/2; % cf_poly = zeros(1,n_blend+1); % for n=0:n_blend; cf_poly(n+1)=nchoosek(n_blend,n)*w_blend^(n); end % % % BLENDING FILTERS % blend_HP = tf([cf_poly(1:nbd),zeros(1,nbd)],cf_poly); % blend_LP = tf(cf_poly(nbd+1:n_blend+1),cf_poly); % % % BLENDING FILTERS (ZPK EXPRESSION) % % blend_LP = myzpk([0.075+1i*0.0581;0.075-1i*0.0581],[0.3;0.3;0.3;0.3;0.3],66.97); % % blend_HP = myzpk([0.75+1i*0.581;0.75-1i*0.581;0;0;0],[0.3;0.3;0.3;0.3;0.3],1); % % % GEOPHONE RESPONSES % georesp = zpk([-2.13+1i*5.19;-2.13-1i*5.19],[0;0],1); % vel2disp = zpk([],0,1); % % % BLENDING FILTERS WITH GEOPHONE RESPONSES % % blend_LVDT = blend_LP; % % blend_GEO = minreal(blend_HP*georesp*vel2disp); blend_LVDT = 1; blend_GEO = 0; % PLOT 1 % freq1=logspace(-3,2,1001); % mybodeplot({blend_LP,blend_HP,blend_LP+blend_HP},freq1); % PLOT 2 % freq1=logspace(-3,2,1001); % mybodeplot({blend_LVDT,blend_GEO},freq1); %% ACTUATOR COUPLING MATRIX %(L, T, V, R, P, Y) %% SERVO FILTER % GENERAL SERVO % damping servo with 300 Hz cutoff dampflt = myzpk(0,[3e1,3e1],9e2*pp); dampflt1 = myzpk(0,[1e1,1e1],9e2*pp); dampflt2 = myzpk([0,0.5,0.5],[3e2,3e2,30,30],9e7*pp); dampflt4 = myzpk(0,[3e2,3e2],9e4*pp); dampflt5 = myzpk(0,[1.5e2,1.5e2],50e3*pp); dampfltb = myzpk(0,myfQv(3e1,1),9e2*pp); dampflt1b = myzpk(0,myfQv(1e1,1),9e2*pp); dampflt4b = myzpk(0,myfQv(3e2,1),(3e2*pp)^2/pp); dampflt5b = myzpk(0,myfQv(1.5e2,1),50e3*pp); dampflt6b = myzpk(0,myfQv(5e0,1),9e2*pp); dampflt7b = myzpk(0,myfQv(3e0,1),9e2*pp); % DC + damping servo with G=400 at 0.1 mHz dcdampflt = myzpk([1e-1;1e-1],[1e-4;1e1],10)... * myzpk([],[3;3],(3*pp)^2); dcdampflt1 = myzpk(myfQv(0.1,1),[1e-4;myfQv(6,1);myfQv(6,1)],... 200*(1e-4*pp)*(6*pp)^4/(0.1*pp)^2); % DC filter dcflt = myzpk([],[1e-4;1e1],100*1e-3*pp^2)... * myzpk([],[3e-1;3e-1],(3e-1*pp)^2); dcflt1 = myzpk([],[1e-4;1e-1;myfQv(0.05,1)],... 200*(1e-1*pp)*(1e-4*pp)*(0.3*pp)^2); % SERVO FILTER F0 servo_LIP = dcdampflt*20; servo_TIP = dcdampflt*20; servo_YIP = dcdampflt*10; % SERVO FILTER F2 % servo_LBF = 10.*dampflt6b/5/5/5/2; % servo_TBF = 10.*dampflt6b/5/5/5/2; % servo_VBF = dampflt4b; % servo_RBF = dampflt4b/5*3*2*2*2; % servo_PBF = dampflt4b/5*3*2*2*2; % servo_YBF = 20.*dampflt6b/2/5/3/4*2; % SERVO FILTER IM servo_LIM = 5.5*dampflt1b/5/3; servo_TIM = 5.5*dampflt1b/5/3; servo_VIM = 8.0*dampflt4b/2; servo_RIM = 2.0*dampflt5b/2; servo_PIM = 1.5*dampflt5/2; servo_YIM = 1.5*dampflt6b/20; % SERVO FILTER TM servo_LTM = 1.5*dampflt6b/5/5; servo_PTM = 1.5*dampflt6b*1.5/5/5/3/5; servo_YTM = 1.5*dampflt6b/5/8/5; % SERVO FILTER GAS servo_GASF0 = dcdampflt1*3; servo_GASF1 = dcdampflt1*2; servo_GASBF = dcflt*7; %servo_GASBF = 0.01*dcdampflt1*100/2; % SERVO FILTER OpLev servo_oplev_PIM = 0; servo_oplev_YIM = 0; % servo_oplev_LTM = 0; % servo_oplev_PTM = 0; % servo_oplev_YTM = 0; % SERVO FILTER IFO % servo_global_LIP = 0; servo_global_LIM = 0; servo_global_LTM = 0; %% GAIN gain_LIP = -1; gain_TIP = -1; gain_YIP = -1; gain_LIM = -1; gain_TIM = -1; gain_VIM = -1; gain_RIM = -1; gain_PIM = -1; gain_YIM = -1; gain_LTM = -1; gain_PTM = -1; gain_YTM = -1; gain_GASF0 = -1; gain_GASF1 = -1; gain_GASBF = -1; gain_oplev_PIM = 0; gain_oplev_YIM = 0; gain_oplev_LTM = 0; gain_global_LIP = 0; gain_global_LIM = 0; gain_global_LTM = 0; % Saving point on July 21th, 2018.