Below are steps to move or rename controlfile to a new location(Mount point or diskgroup).

In ORACLE RAC:(Move from +ORACLDG diskgroup to +DATA diskgroup)

1. Get the current control_file location

SQL>  show parameter control_files

NAME                                 TYPE                             VALUE
------------------------------------ -------------------------------- ------------------------------
control_files                        string                           +ORACLDG/DBACLASS/CONTROLFILE/control01.ctl

2. Set the new location of controlfile:

SQL> alter system set control_files='+DATA' scope=spfile; System altered.

3. start the database in nomount stage:

srvctl stop database -d DBACLASS
srvctl start database -d DBACLASS -o nomount

4. Restore controlfile to new location:

RMAN>  restore controlfile from '+ORACLDG/DBACLASS/CONTROLFILE/control01.ctl';

Starting restore at 13-JAN-19
using target database control file instead of recovery catalog
allocated channel: ORA_DISK_1
channel ORA_DISK_1: SID=2201 device type=DISK

channel ORA_DISK_1: copied control file copy
output file name=+DATA/DBACLASS/CONTROLFILE/current.349.997455411
Finished restore at 13-JAN-19

5. restart the database:

srvctl stop database -d DBACLASS
srvctl start database -d DBACLASS

6. Check the control_file again:

SQL>  show parameter control_files


NAME                                 TYPE                             VALUE
------------------------------------ -------------------------------- ------------------------------
control_files                        string                           +DATA/DBACLASS/CONTROLFILE/curren
                                                                      t.349.997455411

FOR STANDALONE DB(SINGLE INSTANCE DB):

Follow below steps if controlfile resides inside file system(Move from /u01 mount point to /u03 )

1. Get the current control_file location

SQL>  show parameter control_files

NAME                                 TYPE                             VALUE
------------------------------------ -------------------------------- ------------------------------
control_files                        string                           /u01/oracle/dbaclass/control01.ctl

2. Set the new location of controfile:

SQL> alter system set control_files='/u03/oracle/dbaclass/control01.ctl' scope=spfile;

System altered.

3. start the database in nomount stage:

shutdown immediate;
startup nomount

4. Restore controlfile to new location:

RMAN>  restore controlfile  from '/u01/oracle/dbaclass/control01.ctl';

Starting restore at 13-JAN-19
using target database control file instead of recovery catalog
allocated channel: ORA_DISK_1
channel ORA_DISK_1: SID=2201 device type=DISK

channel ORA_DISK_1: copied control file copy
output file name=/u03/oracle/dbaclass/control01.ctl
Finished restore at 13-JAN-19

5. restart the database:

alter database mount;
alter database open;

6. Check the control_file again:

SQL>  show parameter control_files


NAME                                 TYPE                             VALUE
------------------------------------ -------------------------------- ------------------------------
control_files                        string                           /u03/oracle/dbaclass/control01.ctl