📄 reinf7_7.m
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%%%%%%%%%%% Reinforcement Problem 7.7 %%%%%%%%%%%
% Discrete-Time Control Problems using %
% MATLAB and the Control System Toolbox %
% by J.H. Chow, D.K. Frederick, & N.W. Chbat %
% Brooks/Cole Publishing Company %
% September 2002 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ts = 0.05
Gp = tf([1 5],[1 13 12])
Kz = 9
H = tf(60,[1 23 60])
HGp = H*Gp
HGz = c2d(HGp,Ts)
margin(HGz*Kz)
% get closed-loop system
Gz = c2d(Gp,Ts)
Gcl = Gz*Kz/(1+HGz*Kz)
Gcl = minreal(Gcl)
[mag_CLdB,ph_CL,w] = bodedb(Gcl); % CL magnitude in dB & phase
lfg_CL = dcgain(Gcl) % dc gain as ratio
lfg_CLdB = 20*log10(lfg_CL); % dc gain in decibels
BW = bwcalc(mag_CLdB,w,lfg_CLdB) % closed-loop bandwidth in rad/s
[M_pw,i] = max(mag_CLdB) % maximum CL frequency response
wp = w(i) % .....at this frequency (rad/s)
damp(Gcl)
[y,t] = step(Gcl);
[Moa,tpa,tra,tsa,essa] = tstats(t,y,dcgain(Gcl))
%%%%%%%%%%
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