Technical report: PID design of second-order non-linear uncertain systems with fractional order operations

This study considers a control problem related to the regulation of fractional-order systems controlled by fractional order proportional-integral-derivative controllers ((PID mu)-D-lambda). The stability result of (PID mu)-D-lambda-based control systems is provided, such that the closed-loop systems can accomplish global stabilisation under some suitable conditions related to the system uncertainties. Finally, a simulation is demonstrated to verify the results.

Automated summary

This study examines a control problem regarding the regulation of fractional-order systems controlled by fractional order proportional-integral-derivative controllers ((PID mu)-D-lambda). The stability of (PID mu)-D-lambda-based control systems is analyzed, showing that under certain conditions related to system uncertainties, the closed-loop systems can achieve global stabilization. Finally, a simulation is conducted to confirm the results.