Mathematical Problems in Engineering

Research Article

Adaptive Step-Size Control in Simulation of Diffusive CVD Processes

Table 2

Derivation of the control parameters (Chien-Hrones-Reswick and Takahashi).
PID ( P O ) = 0 ( P O ) = 2 0 Takahashi
𝐾 𝑅 𝑡 0 . 6 ⋅ 𝑔 𝑡 𝑢 ⋅ 𝐾 𝑆 𝑡 0 . 9 5 ⋅ 𝑔 𝑡 𝑢 ⋅ 𝐾 𝑆 1 , 2 ⋅ 𝑡 𝑔 𝐾 𝑠 ⋅ ( 𝑡 𝑢 + 𝑇 )
𝑇 𝑛 1 . 0 ⋅ 𝑡 𝑔 1 . 3 5 ⋅ 𝑡 𝑔 2 ⋅ ( 𝑡 𝑢 + 𝑇 / 2 ) 2 𝑡 𝑢 + 𝑇
𝑇 𝑣 0 . 5 ⋅ 𝑡 𝑢 0 . 4 7 ⋅ 𝑡 𝑢 0 . 5 ( 𝑡 𝑢 + 𝑇 )