Automated Design of Piecewise Linear Approximations based QFT Controllers for Time Delay Systems

Authors

  • Dipesh Makwana  Associate Professor, Vishwakarma Government, Engineering College, Ahmedabad, India
  • Akash Gotmare  Student, Systems and Control Engineering Group, IIT Bombay, India

DOI:

https://doi.org/10.32628/IJSRST2074280

Keywords:

Linear Programming (LP); Piecewise Linear Approximation (PLA); Proportional Integral Derivative (PID) Controller; Quantitative Feedback Theory (QFT), Time delay.

Abstract

Time-delay systems are prevalent in various industrial and engineering applications, introducing significant challenges in control design due to their inherent instability and performance degradation. This paper presents a robust control design methodology based on Piecewise Linear Approximation and Linear Programming (PLA-LP) within the Quantitative Feedback Theory (QFT) framework for handling uncertain time-delay systems. In this work, time delay is approximated using a first-order Pade approximation. The proposed methodology ensures robust stability and performance by shaping the loop transfer function to satisfy given stability and tracking constraints. The design problem validates the effectiveness of the approach, demonstrating its capability to design controllers that achieve the desired closed-loop behavior under uncertainty. The results confirm that the PLA-LP-based QFT design method provides a computationally efficient and systematic approach to synthesizing controllers for uncertain time-delay systems while maintaining robustness against plant uncertainties.

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International Journal of Scientific Research in Science and Technology

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Published

2016-06-30

Issue

Volume 2, Issue 3, May-June-2016

Section

Research Articles

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How to Cite

[1]
Dipesh Makwana, Akash Gotmare "Automated Design of Piecewise Linear Approximations based QFT Controllers for Time Delay Systems" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 2, Issue 3, pp.462-469, May-June-2016. Available at doi : https://doi.org/10.32628/IJSRST2074280