For all examples and exercise problems the system is considered as

……………………………………………………………..……State Equation

……………………………………………………………………...Output Equation

 

Lecture Note 1

Examples

Example: 1 Given that ,

Design a state feedback controller such that the closed loop poles are located at z=0.4 & z=0.6

Solution:

The block diagram is given by

From the adjoining block diagram we have

The characteristic equation of the poles located at 0.4 and 0.6 is