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Theory and Modern Applications

Table 1 Parameters of the cascade chemical reactor system

From: Adaptive tracking control for a class of uncertain nonlinear systems with infinite number of actuator failures using neural networks

q = 2.8317 m3/h

\(q_{R}= 1.4158 \mbox{m}^{3}/\mbox{h}\)

V = 1.3592 m3

\(T_{1}^{d}=750\ {}^{\circ}\mbox{C}\)

\(T_{2}^{d}=737.5\ {}^{\circ }\mbox{C}\)

\(C_{A_{2}}^{d}= 10.4178\mbox{ mol}/\mbox{m}^{3}\)

α = 7.08 × 1010 h−1

λ = −3.1644 × 107 h−1

ρ = 800.9189 kg/m3

\(c_{\rho}= 1395.3\mbox{ J}/\mbox{kg}{}^{\circ}\mbox{C}\)

\(E_{a}= 3.1644\times10^{7}\mbox{ J}/\mbox{mol}\)

\(R = 1679.2\mbox{ J}/\mbox{mol}{}^{\circ}\mbox{C}\)

\(U = 1.3625\times10^{7}\mbox{ J}/\mbox{hm}^{2}{}^{\circ}\mbox{C}\)

A = 23.2 m2

\(T_{j2}^{d}=727.6\ {}^{\circ}\mbox{C}\)

\(q_{j2}=1.4130\mbox{ m}^{3}/\mbox{h}\)

\(T_{j20}^{d}=608.2\ {}^{\circ }\mbox{C}\)

\(\rho_{j}=997.9450\mbox{ kg}/\mbox{m}^{3}\)

\(c_{j}= 1860.3\mbox{ J}/\mbox{kg}{}^{\circ}\mbox{C}\)

V = 0.1090 m3