An approach to design controllers for MIMO fractional-order plants based on parameter optimization algorithm.

Area of Science:

• Control Engineering
• Systems Theory
• Applied Mathematics

Background:

• Fractional-order systems and multiple-input multiple-output (MIMO) systems present unique control challenges.
• Existing parameter optimization methods may not directly apply to these complex plant models.
• Robust controller design is crucial for systems with potential plant variations.

Purpose of the Study:

• To extend existing parameter optimization techniques for multivariable systems.
• To develop a method for designing integer-order controllers for MIMO fractional-order plants.
• To demonstrate the applicability of the method to systems with and without time delays.

Main Methods:

• The study adapts a parameter optimization algorithm for multivariable systems.
• The algorithm is applied to find optimal parameters for integer-order controllers.
• Controller design procedures are illustrated using two distinct MIMO fractional-order system examples.

Main Results:

• The developed algorithm successfully designs integer-order controllers for MIMO fractional-order plants.
• The controller design process accommodates fractional-order plants with or without time delays.
• Simulation results confirm the robustness of the designed integer-order controllers against plant gain variations.

Conclusions:

• The extended parameter optimization method provides an effective approach for controller design in MIMO fractional-order systems.
• Integer-order controllers designed using this method exhibit significant robustness.
• The approach offers a practical solution for controlling complex fractional-order systems.