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Modeling and control of non-square MIMO system using relay feedback.

D Kalpana1, T Thyagarajan1, N Gokulraj1

  • 1Department of Instrumentation Engineering, Madras Institute of Technology Campus, Anna University, Chennai 44, India.

ISA Transactions
|October 11, 2015
PubMed
Summary

This study introduces a novel relay feedback method for modeling and controlling non-square MIMO systems. It incorporates undesired responses to analyze loop interactions, improving system parameter estimation and controller design.

Keywords:
AutotuningInteractionModelingMulti Input Multi OutputNon-squareRelay feedback

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Area of Science:

  • Control Systems Engineering
  • System Identification
  • Automotive Engineering

Background:

  • Non-square MIMO systems present challenges in conventional modeling and control.
  • Existing methods often neglect interaction information from undesired responses.
  • Accurate modeling is crucial for effective control design in complex systems.

Purpose of the Study:

  • To develop a systematic time-domain approach for modeling and controlling non-square MIMO systems using relay feedback.
  • To incorporate undesired response information for enhanced interaction analysis.
  • To validate the proposed method on a turbocharged diesel engine air path model and a two-tank interacting system.

Main Methods:

  • Utilizing relay feedback tests to capture both direct and undesired responses.
  • Deriving generalized analytical expressions from relay test data.
  • Estimating system parameters and interaction measures using Block Relative Gain (BRG).
  • Designing controllers based on the identified model for closed-loop simulations.

Main Results:

  • Successfully extracted interaction information from undesired relay feedback responses.
  • Accurately estimated system parameters and interaction measures for non-square MIMO systems.
  • Demonstrated effective closed-loop control (servo and regulatory) using the proposed modeling approach.
  • Validated the method on an Air Path Scheme of Turbocharged Diesel Engine (APSTDE) and a Two-Tank Cylindrical Interacting System (TTCIS).

Conclusions:

  • The proposed relay feedback method offers a systematic and effective approach for modeling and controlling non-square MIMO systems.
  • Incorporating undesired responses significantly improves the analysis of inter-loop interactions.
  • The method provides a robust framework for controller design and performance evaluation using Integral of Squared Error (ISE).