Dear colleagues

Kindly look at the enclosed AC model where I have two inputs mainly the fan blower voltage and the compressor voltage, whereas the two outputs are the temperature of blown air out of evaporator (Tao) and the zone temperature (Tz). Please note that I have a third input, that is the ambient temperature as illustrated in the model. Away from the classic PID controller, what could be the best Multivariable control strategy for such model?

Output responses at both equal input voltages of 115 volt each are also shown