M d Example: Room Control Optimization 16888 E5077 Want: -temperature in ideal range 68-72F humidity above 56% is undesirable assume: T=c'x temperature Formulate as a molP undesirable H=c'x humidity mind,+d min s t Using 68/72'TIFI deviational ideal cx+d,≥68 variables cx-d+<72 H undesirable cx-d≤56 56H[%] Ax≤b,x,d1,d1,d≥0 ideal o Massachusetts Institute of Technology -Prof de Weck and Prof Willcox Engineering Systems Division and Dept of Aeronautics and Astronautics11 © Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Engineering Systems Division and Dept. of Aeronautics and Astronautics Example: Room Control Optimization Example: Room Control Optimization Want: - temperature in ideal range 68-72 ºF - humidity above 56% is undesirable Assume: temperature humidity T H = = 1 2 c x c x U T 68 72 T [ºF ] undesirable ideal UH 56 H [%] undesirable ideal Formulate as a MOLP { } { } 1 1 2 1 1 2 2 112 min min s.t. 68 72 56 , , , , 0 d d d d d d ddd − + + − + + −−+ + + ≥ − ≤ − ≤ ≤ ≥ 1 1 c x c x c x Ax b x Using deviational variables