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Table 5 PID (classical) control parameter from combined Ziegler-Nichols and root locus

From: A quantum particle swarm optimization-based optimal LQR-PID controller for load frequency control of an isolated power system

Parameter

Value: \({{\varvec{K}}}_{{\varvec{c}}\boldsymbol{ }}=3.74\boldsymbol{ }\,{\varvec{a}}{\varvec{n}}{\varvec{d}}\,\boldsymbol{ }{{\varvec{T}}}_{{\varvec{c}}\boldsymbol{ }}=1.935\mathbf{s}\)  

\({K}_{p}\)

\(0.6{K}_{c}\)

2.244

\({K}_{i}\)

\(1.2{K}_{c}/{T}_{c}\)

2.31937984

\({K}_{d}\)

\(0.075{{K}_{c}T}_{c}\)

0.5427675