Wiley signals and systems e book TLFe BO 362

With the form 14.26 arid 14.27 it is easy to charzractcrise systems with multiple inputs niid outputs Figure 14.10.. ription 14.26,14.27 -vve obtaiIi: Using thc z-transform on the state

11.5 Block Diagrams arid State-Space 347

1

Figure 14.7: Direct ii,rm 1 of a tfkcrete LTJ-syst,rm

e s c r ~ p t i Q ~ for Discrete

If a block diagram of an LT1-system is given, a state-spacc representation of the form

(14.26) (14.27)

rail be formalated

As state vector ~ [ k ] the vdnes stored in the delay circuits are chosen W e

c d l (14.Xi) the s y r t t m ecpation, which ckscribes changes in the intcriid states depending on the current state zik] and the input series x [ k ] With the form (14.26) arid (14.27) it is easy to charzractcrise systems with multiple inputs niid outputs (Figure 14.10)

ription (14.26),(14.27) -vve obtaiIi:

Using thc z-transform on the state-space d

(14.28) (14.29) Thesc cquations are identical to the stat,e-spacx! description of U continuous-tine systern in the l,;i,place-tlornain cxwpt that the complex variable s has in this case