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H-Infinity Based Robust Temperature Controller Design for a Non-linear Systems

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Abstract

This paper presents a novel design technique of H-infinity based temperature and molar concentration controller for the highly non-linear system, namely continuous stirred tank reactor (CSTR). Model uncertainties and perturbation in CSTR parameters are considered in the proposed design. The stability, robustness, disturbance rejection capability, sensitivity to the parameter variations, and speed of the proposed controller are investigated through time and frequency response, complementary, and worst-case sensitivity analysis. Further, performances of the proposed controller are compared with the other existing controllers to reveal its effectiveness and accuracy. It is shown that, the proposed controller provides better time- and frequency-responses characteristics along with high disturbance rejection capability than the other existing controllers. The rise time, peak overshoot, and settling time of the proposed controller are found smallest among the conventional and AI based controllers and are 0.14 s, 0, and 0.6 s, respectively. Further, performance indices of the proposed controller are also found smaller than the other existing controllers. Also, the magnitude of sensitivity and complementary sensitivity functions is found in the desired limit under worst condition. Proposed control is found proficient to control the other parameter, such as molar concentration control, also.

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Data Availability

Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

Code Availability

The authors declare all data and materials as well as software application or custom code support their published claims and comply with field standards.

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The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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Authors and Affiliations

  1. Electrical Engineering Department, Graphic Era (Deemed to be University), Dehradun, India

    Parvesh Saini & Padmanabh Thakur

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  1. Parvesh Saini
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  2. Padmanabh Thakur
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Contributions

Conceptualization, writing software code, writing-original draft preparation: PS, Methodology, writing software code, preparation of final draft, data curation: PT.

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Correspondence to Padmanabh Thakur.

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Saini, P., Thakur, P. H-Infinity Based Robust Temperature Controller Design for a Non-linear Systems. Wireless Pers Commun 126, 305–333 (2022). https://doi.org/10.1007/s11277-022-09746-3

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