The part of the peripheral nervous system that transmits commands for voluntary movement from the central nervous system to the muscles and brings sensory input back to the central nervous system for further processing is the

Somatic nervous system

Explanation:

The peripheral nervous system is composed of the neurons present outside the central nervous system that is the spinal cord and the brain.

The neurons of the peripheral neurons are categorized into two types on the basis of function they are involved in that is autonomic neurons and the somatic neurons.

The somatic neurons control the voluntary action of the body by sending signals to and from the muscles to the brain.

In the question, since the neurons involved controls the voluntary action therefore the somatic nervous system is the correct answer.

its probably to later but whats the question