Continuous fractional-order Zero Phase Error Tracking Control

Area of Science:

• Control Systems Engineering
• Applied Mathematics
• Nonlinear Dynamics

Background:

• Fractional-order systems present unique control challenges due to their complex dynamics.
• Traditional controllers often struggle with phase shift issues in fractional-order systems.
• Accurate tracking of time-varying signals is crucial in many advanced applications.

Purpose of the Study:

• To propose a novel continuous-time fractional-order feedforward control algorithm for precise signal tracking.
• To develop a Fractional-Order Zero Phase Tracking Controller (FZPETC) that cancels phase shifts caused by system zeros and poles.
• To introduce a modified quasi-perfect tracking scheme for systems with limited future trajectory information or high-frequency disturbance issues.

Main Methods:

• Design of FZPETC for fractional-order systems with and without non-cancellable zeros.
• Application of FZPETC to three distinct fractional-order controlled systems to evaluate performance.
• Development and validation of a modified quasi-perfect tracking scheme.
• Simulation comparisons and hardware-in-the-loop testing on a thermal Peltier platform.

Main Results:

• The FZPETC successfully improved tracking performance in diverse fractional-order systems.
• The controller effectively cancels phase shifts, leading to enhanced signal tracking accuracy.
• The modified quasi-perfect tracking scheme demonstrated practicality for challenging system scenarios.
• Hardware validation confirmed the real-world applicability of the proposed control algorithms.

Conclusions:

• The proposed FZPETC offers a robust solution for tracking control in fractional-order systems.
• The modified quasi-perfect tracking scheme provides an effective alternative for complex tracking tasks.
• The study validates the practical implementation of advanced fractional-order control strategies.