1 (292)

Prévia do material em texto

Problem 7.36PP
Explain how the controllability, observability, and stability properties of a linear system are 
related.
Step-by-step solution
step 1 of 2
The concepts o f controllability and observability are closely related to the cancellation of 
a pole and a zero in the S3rstem transfer function.
Controllability and observability are the properties which describe structural features of a
dniamic system. These properties p l ^ an in:portant role in modern control system apoic ano a zero m uie system tiansier [unction.
Controllability and observability are the properties which describe structural features of a 
d3mamic system. These properties play an important role in modern control system 
design theory.
A system is said to be completely controllable, if every state can be affected or
controlled to reach a desired state in finite time by some unconstrained control u (t) .
The I i^ u t and output o f a system are always physical quantities, and are normally easily 
accessible to measurement we therefore, need a subsystem that performs the estimation 
of state variables based on the information received fi'om the input u(