[c] Is there a typical state machine implementation pattern?

For a simple state machine just use a switch statement and an enum type for your state. Do your transitions inside the switch statement based on your input. In a real program you would obviously change the "if(input)" to check for your transition points. Hope this helps.

typedef enum
{
    STATE_1 = 0,
    STATE_2,
    STATE_3
} my_state_t;

my_state_t state = STATE_1;

void foo(char input)
{
    ...
    switch(state)
    {
        case STATE_1:
            if(input)
                state = STATE_2;
            break;
        case STATE_2:
            if(input)
                state = STATE_3;
            else
                state = STATE_1;
            break;
        case STATE_3:
            ...
            break;
    }
    ...
}