Stabilization of Inverted Cart-Pendulum System Using PI^𝜆D^𝜇 Controller: A Frequency-Domain Approach

Table 4

Objective function values.

Controller	𝐽1	𝐽2	𝐽3	𝐽4	𝐽5	𝐽
PI^𝜆D^𝜇	0.0099	−0.0058	0.0014	0.0302	−0.2778×10^−5	0.0473
PID	−3.6750×10^−7	5.1383×10^−6	0.0225	0.0814	−0.0995	0.2035