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() ᑺ () , [1-11].

, , . MATLAB, MatCad, Mathematica, Maple .

MATLAB [12-15] , , , Simulink, (Identification Toolbox), (Control Toolbox) (Nonlinear Control Toolbox) , (Digital Signal Toolbox), (Robust Toolbox) (Robust Toolbox), (Fuzzy Logic Toolbox), (Neuro Toolbox) .., , , ( Real Time Work Shop (RTW) ) [15-19].

, , , , , , , , .

, , , MATLAB.

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(linear) (nonlinear);

(continuous ), (discrete) ;

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(time invariant systems) (time variant systems).

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:

SISO (Single Input Single Output) , ;

SIMO (Single Input Many Output) , ;

MIMO (Many Input Many Output) , .

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, (LTI-systems). .

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n- k r .

   

A(t) nn;

B(t) nk;

C(t) rn;

D(t) rk.

SIMO- (k = 1) B D -:

   

SISO- (k = 1, r = 1) B -, C - 1n, D :

   

䳺 , .

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(1.9), (1.10) s:

   

1.1 MIMO- (1.

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, MATLAB ᑺ-. (LTI-systems) Control System Toolbox ᒺ LTI-objects (Linear Time Invariant objects), (continuous) (discrete) (SISO) (MIMO) . ³ ᒺ () LTI. ( )

1) frd (Frequency Response Data) LTI-ᒺ , :

W () = W ( p ) p = j,

2) ss (State Space) LTI-ᒺ () ;

3) dss (Descriptor State Space) LTI-ᒺ (1.13);

4) zpk (Zero-Pole-Gain) , ;

5) tf (Transfer Function polynomial) LTI-ᒺ , .

LTI-ᒺ.

ss-ᑺ:

A nn (n );

nk;

rn;

D rk;

nn;

StateName .

tf-ᑺ:

num m+1, , ᑺ (m ) ;

den () n+1, , ᑺ (n ) ; , ;

Variable , ; 's', 'p', 'z', 'z^-1', 'q'; 's' , 'z' 'z^-1' ᑺ .

zpk-ᑺ:

Z m ᑺ (m ) ; , [ ];

P n ᑺ (n ) ; , ;

K rn;

Variable , ; 's', 'p', 'z', 'z^-1', 'q'; 's' , 'z' 'z^-1' ᑺ .

frd-ᑺ:

Frequency n;

ResponseData rk n, :

   

ML-, LTI-ᑺ , 1.1. MATLAB 5.x MATLAB 6.x , , LTI-ᑺ. ss2zp, ss2tf, tf2ss, zp2ss, tf2zp, zp2tf, ss2ss canon.

1.1 ML- LTI-ᑺ

LTI-ᑺ State Space ss LTI- ᑺ Descriptor State Space dss ss-ᑺ rss ss-ᑺ drss LTI-ᑺ Transfer Function polynomial tf LTI-ᑺ Zero-Pole-Gain zpk LTI-ᑺ Frequency Response Data frd LTI-ᑺ DSP (Digital Signal Processing), filt LTI-ᒺ set , 1.1, , LTI-ᑺ .

, .1.1 .

dss, ss, zpk, tf frd :

sys = FnName(SP) sys = FnName(SP, Ts) sys = FnName(SP, ltisys) sys = FnName sys ᑺ, ;

FnName , ᑺ;

SP :

A, B, C, D, E dss;

A, B, C, D ss;

Z, P, K zpk;

num, den tf;

resp, freq frd.

, , .



Pages:   || 2 | 3 | 4 | 5 |
 >>  . C 01.02.00
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׸


 
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