Control System Toolbox™

delayss

Create state-space models with delayed terms

Syntax

sys=delayss(A,B,C,D,delayterms)
sys=delayss(A,B,C,D,ts,delayterms)

Description

sys=delayss(A,B,C,D,delayterms)constructs a continuous-time state-space model of the form:

where t_j, j=1,..,N are time delays expressed in seconds. delayterms is a struct array with fields delay, a, b, c, d where the fields of delayterms(j) contain the values of tj, Aj, Bj, Cj, and Dj, respectively. The resulting model sys is a state-space (SS) model with internal delays.

sys=delayss(A,B,C,D,ts,delayterms)constructs the discrete-time counterpart:

where Nj, j=1,..,N are time delays expressed as integer multiples of the sampling period ts.

Example

To create the model:

type

DelayT(1) = struct('delay',0.5,'a',0,'b',2,'c',1,'d',0);
DelayT(2) = struct('delay',1.2,'a',-1,'b',0,'c',0,'d',0);
sys = delayss(1,0,0,1,DelayT) 

a = 
       x1
   x1   0
 
b = 
       u1
   x1   2
 
c = 
       x1
   y1   1
 
d = 
       u1
   y1   1
 
(a,b,c,d values when setting all internal delays to zero)

Internal delays: 0.5  0.5  1.2  
 
Continuous-time model.

See Also

getdelaymodel, ltiprops, ss.

delay2z

dlqr