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Full State Feedback Control with Observer for Multi Variable Temperature Regulation in Vapour Compression Refrigeration Systems
Subject area: Science,Engineering and Technology · Area of research: Electrical/ Electronic Engineering
DOI: https://doi.org/10.64388/IREV9I10-1716088
Abstract
Achieving tight and reliable temperature regulation across all functional components of a vapour-compression refrigeration system remains a persistent challenge, primarily because classical control strategies struggle to account for the multi-dimensional, nonlinear, and coupled thermal dynamics inherent to such systems. This paper presents the design, analysis, and simulation-based validation of a full state feedback controller augmented with an observer for multi-variable temperature control of a single-stage vapour-compression refrigeration system. The plant model, derived by applying energy conservation principles to each of the four major components — evaporator, compressor, condenser, and expansion valve — is cast in state-space form, and its controllability and observability are analytically confirmed. A pole placement approach is employed to compute the state feedback gain matrix K, a forward path gain Kf is subsequently introduced to enforce zero steady-state tracking, and a Luenberger observer is designed to estimate unmeasured system states, thereby reducing reliance on physical sensors. MATLAB/Simulink simulations are conducted across five progressive design stages, and transient response metrics — rise time, settling time, peak overshoot, and steady-state error — are extracted and benchmarked. The proposed full state feedback controller with forward gain and observer achieves rise times of approximately 1.1 s for the evaporator and compressor and 0.732 s for the condenser and expansion valve, with settling times below 2.0 s, zero peak overshoot, and zero steady-state error. Practical validation with realistic operating temperatures confirms the controller's capacity to track and maintain desired temperatures for efficient cooling.
Keywords
Vapour-Compression Refrigeration, Full State Feedback, Pole Placement, Luenberger Observer, Temperature Control.
How to cite this paper
@article{1716088,
author = {Onunwor, Kelechi O., Muoghalu, C. N., Atuchukwu, A. J., Nnaemeka C. Asiegbu},
title = {Full State Feedback Control with Observer for Multi Variable Temperature Regulation in Vapour Compression Refrigeration Systems},
journal = {Iconic Research And Engineering Journals},
year = {2026},
volume = {9},
number = {10},
pages = {4996-5004},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1716088.pdf},
abstract = {Achieving tight and reliable temperature regulation across all functional components of a vapour-compression refrigeration system remains a persistent challenge, primarily because classical control strategies struggle to account for the multi-dimensional, nonlinear, and coupled thermal dynamics inherent to such systems. This paper presents the design, analysis, and simulation-based validation of a full state feedback controller augmented with an observer for multi-variable temperature control of a single-stage vapour-compression refrigeration system. The plant model, derived by applying energy conservation principles to each of the four major components — evaporator, compressor, condenser, and expansion valve — is cast in state-space form, and its controllability and observability are analytically confirmed. A pole placement approach is employed to compute the state feedback gain matrix K, a forward path gain Kf is subsequently introduced to enforce zero steady-state tracking, and a Luenberger observer is designed to estimate unmeasured system states, thereby reducing reliance on physical sensors. MATLAB/Simulink simulations are conducted across five progressive design stages, and transient response metrics — rise time, settling time, peak overshoot, and steady-state error — are extracted and benchmarked. The proposed full state feedback controller with forward gain and observer achieves rise times of approximately 1.1 s for the evaporator and compressor and 0.732 s for the condenser and expansion valve, with settling times below 2.0 s, zero peak overshoot, and zero steady-state error. Practical validation with realistic operating temperatures confirms the controller's capacity to track and maintain desired temperatures for efficient cooling.},
keywords = {Vapour-Compression Refrigeration, Full State Feedback, Pole Placement, Luenberger Observer, Temperature Control.},
month = {April},
doi = {https://doi.org/10.64388/IREV9I10-1716088}
}