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Chapter 57 from The Book of Church Order--part of the PCA's doctrinal standards, along with the Westminster Confession of Faith--(a link to such in pdf format can be found here) is titled "The Admission of Persons to Sealing Ordinances".
Children who have been infant-baptised are not to take part in communion:
57-1. Believersβ children within the Visible Church, and especially those dedicated to God in Baptism, are non-communing members under the care of the Church. They are to be taught to love God, and to obey and serve the Lord Jesus Christ. When they are able to understand the Gospel, they should be earnestly reminded that they are members of the Church by birthright, and that it is their duty and privilege personally to accept Christ, to confess Him before men, and to seek admission to the Lordβs Supper.
Each congregation (represented by a council of elected elders) decides when such a person is ready to received communion:
57-2. The time when young persons come to understand the Gospel cannot be precisely fixed. This must be left to the prudence of the Session, whose office it is to judge, after careful examination, the qualifications of those who apply for admission to sealing ordinances.
At this time a public profession is recommended but not necessary:
57-4. It is recommended, as edifying and proper, that baptized persons, when admitted by the Session to the Lordβs Supper, make a public profession of their faith in the presence of the congregation. But in all cases, there should be a clear recognition of their previous relation to the church as baptized members.
So the PCA does have a process of confirmation however it is not necessary public and it is at the discretion of the congregation (via the elders) as to the nature of confirmation - whether classes are required, who will be admitted, whether there will be a ceremony. In practice many churches do require and offer classes for confirmees.