Try it like this
lvconvert -m1 /dev/volgroup/volume
Below is the command log of my test. I did it on loopback devices
Create 3 loopback devices
dd if=/dev/zero of=disk1 bs=1M count=100
dd if=/dev/zero of=disk2 bs=1M count=100
dd if=/dev/zero of=disk3 bs=1M count=200
[root@localhost ~]# losetup -f /root/disk1
[root@localhost ~]# losetup -f /root/disk2
[root@localhost ~]# losetup -f /root/disk3
[root@localhost ~]# losetup -a
/dev/loop0: [64768]:17900481 (/root/disk1)
/dev/loop1: [64768]:17900482 (/root/disk2)
/dev/loop2: [64768]:17900483 (/root/disk3)
Create PVs
[root@localhost ~]# pvcreate /dev/loop0
Physical volume "/dev/loop0" successfully created
[root@localhost ~]# pvcreate /dev/loop1
Physical volume "/dev/loop1" successfully created
[root@localhost ~]# pvcreate /dev/loop2
Physical volume "/dev/loop2" successfully created
[root@localhost ~]# pvs
PV VG Fmt Attr PSize PFree
/dev/loop0 lvm2 --- 100.00m 100.00m
/dev/loop1 lvm2 --- 100.00m 100.00m
/dev/loop2 lvm2 --- 200.00m 200.00m
/dev/sda2 centos lvm2 a-- 7.51g 40.00m
Create VG and LV with 2 stripes
vgcreate StripedVG /dev/loop0 /dev/loop1
lvcreate -l +100%FREE -i2 -n StripedLV StripedVG
Using default stripesize 64.00 KiB.
Logical volume "StripedLV" created.

Format and mount
mkfs /dev/mapper/StripedVG-StripedLV
mount /dev/mapper/StripedVG-StripedLV /mnt
Now let's add our 3rd PV to VG
vgextend StripedVG /dev/loop2
Volume group "StripedVG" successfully extended
And now convert
[root@localhost ~]# lvconvert -m1 StripedVG/StripedLV
StripedVG/StripedLV: Converted: 0.0%
StripedVG/StripedLV: Converted: 83.3%
StripedVG/StripedLV: Converted: 100.0%
Remove striped part from mirror
[root@localhost ~]# lvconvert -m0 StripedVG/StripedLV /dev/loop0 /dev/loop1
Logical volume StripedLV converted.

And now get rid of the /dev/loop0 and /dev/loop1
[root@localhost ~]# vgreduce StripedVG /dev/loop0
Removed "/dev/loop0" from volume group "StripedVG"
[root@localhost ~]# vgreduce StripedVG /dev/loop1
Removed "/dev/loop1" from volume group "StripedVG"
[root@localhost ~]# pvremove /dev/loop0 /dev/loop1
Labels on physical volume "/dev/loop0" successfully wiped
Labels on physical volume "/dev/loop1" successfully wiped
So what we have finally is this

Edit 1:
What I described above works on CentOS 6, but doesn't work on CentOS 7.
I guess in CentOS 7 this rule kicks in.
Since striped != linear, it fails.

I just recompiled lvm rpm package from source but added extra debug

And here is output
[root@localhost x86_64]# lvconvert -m1 StripedVG/StripedLV
'--mirrors/-m' is not compatible with striped
arg_count = 1
seg_is_linear = 0
seg_is_mirrored = 0
So basically all 3 conditions evaluate to true and we enter error handling block.
arg_count=1
!seg_is_linear = !(0) = 1
!seg_is_mirrored = !(0) = 1
Edit 2:
I found solution for CentOS 7. Instead of RAID 1 - we need to use --type mirror
lvconvert --type mirror -m 1 StripedVG/StripedLV

And then convert it to Linear and chose which PVs to remove
lvconvert -m0 StripedVG/StripedLV /dev/loop0 /dev/loop1
