Design operating system of electronic device

Need to : convert sensor signals to literals(variables at least 6) and build truth table

simplifying boolean function

design function generators using 4 input pal, mux

include sequential circuits of flipflops

draw timing chart

I thought about the auto slide door , but i cannot make the circuit with the above conditions.

Please help me to construct the circuit, truth table, timing chart

(i thought that the auto slide door circuit needs s-r flip flop)