The peripheral nervous system has - Somatic nervous system and Autonomic nervous system.
These systems control our body action by this controls all the types of muscles.
Explanation:
Somatic nervous system have - Cranial nerves and Spinal nerves
Autonomic nervous system have - Sympathetic and Parasympathetic system.
The somatic nervous system controls our voluntary and involuntary actions by cranial and spinal nerves and controls all three types of muscles such as cardiac, smooth and skeletal.
The autonomic nervous system controls the involuntary actions of our internal organs.
The sympathetic and parasympathetic system relates to all types of muscle.
The sympathetic and parasympathetic system accelerates and decelerates the heart beat respectively, by this controls the cardiac muscle.
The sympathetic and parasympathetic system stimulates and relaxes our internal organs respectively, by this controls the smooth muscles.
The sympathetic and parasympathetic system prepares our body as a whole for a action and also relaxes our whole body respectively, by this controls the skeletal muscles.