Did God order us to praise him?
Short Answer, yes. Not so short answer, yes God orders us to praise him; in fact in Scripture we see that God created us for his glory (Isaiah 43:7) and in praising God we are recognizing that God is God and it gives him glory because it sings his praises for his own sake, recognizing that he simply IS (Catechism of the Catholic Church, 2649).
Throughout the Psalms, which are inspired by God, there are many commands to praise God. Psalm 150 begins by saying: Praise the LORD. Praise God in his sanctuary; praise him in his mighty heavens. Praise him for his acts of power; praise him for his surpassing greatness. Psalm 68:5 says, “Sing to God, praise his name; exalt the rider of the clouds. And Psalm 113:1-2 tells us, “Praise, you servants of the LORD, praise the name of the LORD. Blessed be the name of the LORD both now and forever. Rejoice before him whose name is the LORD.” These are just to name a few.
God is not like some person who desires people to constantly give him compliments. No. God desires our praise because it is good for us, because it is what he created us to do.