By Lou Drendel
F-14 Tomcat stroll round
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State feedback control without estimation of ∆Tj Now, the vector and matrix dimensions are: A(3 × 3); B(3 × 2); C(2 × 3); x(3 × 1); u(2 × 1); y(2 × 1); ν(2 × 1); r(2 × 1). (49) the closed loop equations of the system can be written as: x(t) 0 x(t) ˙ + r(t) = (Aa − Ba Kr ) ν(t) Iν ν(t) ˙ (51) where Aa = A 0 ; −C 0 Ba = B 0 (52) The input vector r(t) are references (step functions). Taking into account an state error vector e(t), u(t) and rr (t) defined by: 28 P. Albertos and M. , if: . . (56) can be used to verify the values of steady state from the simulation of Eqs.
17 is the i-th rate laws in Table 1 with Arrenhuis-like temperature dependence. γ stands for the heat transfer coefficient of coolant system and β the reaction enthalpy, whose value has been experimentally obtained [20]. Θ is the inverse of the residence time. One should note that the concentration feed 42 ´ G. Carrizales-Mart´ınez, R. Femat, and V. Gonz´ alez-Alvarez IN IN xIN 1,1 and x1,2 are restricted by the mass transfer. (2) whereas xIN 1,2 is constant due to mass transfer of propylene is fast.
The time constant is large. Thus, the control function in this paper computes the coolant temperature such that the alkylation reactor is stable and can be used in cascade control. The idea behind the proposed controller is that the computed coolant temperature enters to the refrigeration section as reference. , neither kinetic nor thermodynamics terms are required) for a very complex chemical system and recycle process. The controller is a bounded PI-like feedback with dynamic estimation of uncertainties.
