<p>This paper presents a new hybrid approach for designing controllers and compensators for high-order systems. The high order system is firstly simplified using a novel model order reduction approach which utilizes moth flame optimization. Unlike existing optimization techniques, the boundary conditions for optimization process are derived using an interim reduced-order model in the proposed approach. The methodology provides an optimal reduced-order model that closely replicates the original system and exhibits stability and key dominant characteristics. The reduced-order models are utilized for design of PID controller and compensators for benchmark systems, including a flexible missile, a voltage regulator, and two fuel control systems. The parameters of the controllers are determined using moment-matching method. The performance of proposed methodology is assessed using error metrics and time domain specifications of closed-loop controlled systems. The suggested approach yields step response with minimal error with respect to reference model. Moreover, the time domain specifications of the controlled system align closely with the specifications of the reference model. The overall results demonstrate the efficiency of the proposed approach in reducing system complexity while maintaining control accuracy, making it suitable for practical applications in control engineering.</p>

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A New Approach to Controller and Compensator Design Using Constrained Optimization for Reduced-Order Systems

  • Anuj Goel,
  • Amit Kumar Manocha,
  • Sharad Kumar Tiwari,
  • Arvind Kumar Prajapati

摘要

This paper presents a new hybrid approach for designing controllers and compensators for high-order systems. The high order system is firstly simplified using a novel model order reduction approach which utilizes moth flame optimization. Unlike existing optimization techniques, the boundary conditions for optimization process are derived using an interim reduced-order model in the proposed approach. The methodology provides an optimal reduced-order model that closely replicates the original system and exhibits stability and key dominant characteristics. The reduced-order models are utilized for design of PID controller and compensators for benchmark systems, including a flexible missile, a voltage regulator, and two fuel control systems. The parameters of the controllers are determined using moment-matching method. The performance of proposed methodology is assessed using error metrics and time domain specifications of closed-loop controlled systems. The suggested approach yields step response with minimal error with respect to reference model. Moreover, the time domain specifications of the controlled system align closely with the specifications of the reference model. The overall results demonstrate the efficiency of the proposed approach in reducing system complexity while maintaining control accuracy, making it suitable for practical applications in control engineering.