See on Psa 4:1, title; Psa 32:1, title; for the history, see Sa1 23:19, Sa1 23:29; 1Sa. 26:1-25. After an earnest cry for help, the Psalmist promises praise in the assurance of a hearing. (Psa 54:1-7)
by thy name-- (Psa 5:11), specially, power.
judge me--as in Psa 7:8; Psa 26:1.