(1) Mastering MATLAB 6: A Comprehensive Tutorial and Reference 全華書局 (2079801)

Reference Books: (1) Mastering MATLAB 6: A Comprehensive Tutorial and Reference 全華書局(2079801) (2) MATLAB 6.X 使用入門余建政, 俞克維, 林義隆, 白能勝文京書局 C090 $570 (3) MATLAB 程式設計與應用新文京書局作業信箱: hao @cc.chit.edu.tw 課程網址: http://ee2.chit.edu.tw/~hao

Unit 1 Matlab Window Command 中華技術學院電子系蔡樸生副教授林盈灝副教授

MIMO System System Model

Consider a differential equation, described as

Command Window • It is very convenient for testing matlab command. • The program can not save is the fatal drawback. [Example 1] Matrix operate >> A=[1 -1 -2;2 -3 -5;-1 3 5]; >> B=[1 2 3;4 5 6;7 8 9]; >> C=A+B ? C=A*B ? inv(A)=[0 1 1;5 -3 -1;-3 2 1]? >> C=A’ ? det (A) ? eig(A) ? Note : command 一定要用小寫 command後不加 ‘;’, 即時顯示運算結果

System Representation (I) • ? ss2tf ? ss2zp ? tf2ss ? tf2zp ? zp2ss ? zp2tf • tf : [nums,dens] ss : [A,B,C,D,1] zp : [z,p,k] [Example 2] Testing system mode command • >>[nums,dens]=ss2tf(A,B,C,D,1); nums = 0 5.0000 15.0000 10.0000 dens = 1.0000 3.0000 2.0000 1.0000

System Representation (II) • >> [z,p,k]=ss2zp(A,B,C,D,1) • z = -1 , -2 • p = -0.3376+0.5623i, -0.3376-0.5623i, -2.3247 • k = 5 [Homework 1] >> z=[0;-5;-6]; i=sqrt(-1); >> p=[-1;-2;-3+4i;-3-4i]; k=1; >> [nums,dens]=zp2tf(z,p,k); >> [A,B,C,D]=zp2ss(z,p,k);

CH25 : Two Dimension Graphics (I) • plot (X,Y,’CLM’) y : yellow - * X , Y : Vector b : blue -- ^ C : color r : read : o L : Line Style k : black -. M : Marker g : green .. • linspace(x1,x2,N) : generate N point between x1 and x2 . Default N=100 [Example 3] Sinewave Generation x=linspace(0,2*pi);

Two Dimension Graphics (II) >> x=linspace(0,2*pi); >> y=sin(x); >> plot(x,y,’b’); • grid; • axis([xmin xmax ymin ymax]); • xlabel(‘time’);ylabel(‘sinewave’); • title(‘ sinewave plot ’); • help command

(1) Mastering MATLAB 6: A Comprehensive Tutorial and Reference 全華書局 (2079801)