Design of simple nonovershooting controllers for linear high order systems with or without time delay

Area of Science:

• Control Systems Engineering
• Systems Theory
• Applied Mathematics

Background:

• Nonovershooting control is crucial for high-order systems, especially those with time delays.
• Existing control methods may be complex or insufficient for achieving precise non-overshooting responses.

Purpose of the Study:

• To develop a robust non-overshooting control strategy for high-order systems.
• To design simple yet effective controllers capable of achieving non-overshooting performance.
• To provide a method for verifying the dominance of proposed control structures.

Main Methods:

• Formulation and proof of three fundamental propositions for non-overshooting control.
• Design of a non-overshooting dominant pole control structure with specific pole placement.
• Utilization of first-order filters and Proportional-Derivative-Integral-Derivative (PD-PID) controllers.
• Development of a computational method to ensure dominant pole placement and system stability.

Main Results:

• A novel dominant pole control structure is proposed, featuring one real pole and a pair of complex conjugate poles.
• Controllers comprising a first-order filter and a PD-PID controller are effectively employed.
• A computational technique is presented to validate the dominance of the three dominant poles.
• Illustrative examples demonstrate the efficacy of the proposed non-overshooting control method.

Conclusions:

• The proposed control strategy effectively achieves non-overshooting control for high-order systems.
• The method is applicable to systems with or without time delays.
• The presented computational tool aids in ensuring the stability and performance of the control system.