Robust Temperature Control of a Thermoelectric Cooler via \(\mu \)-Synthesis
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In this work robust temperature control of a thermoelectric cooler (TEC) via \(\mu \)-synthesis is studied. An uncertain dynamical model for the TEC that is suitable for robust control methods is derived. The model captures variations in operating point due to current, load and temperature changes. A temperature controller is designed utilizing \(\mu \)-synthesis, a powerful method guaranteeing robust stability and performance. For comparison two well-known control methods, namely proportional-integral-derivative (PID) and internal model control (IMC), are also realized to benchmark the proposed approach. It is observed that the stability and performance on the nominal model are satisfactory for all cases. On the other hand, under perturbations the responses of PID and IMC deteriorate and even become unstable. In contrast, the \(\mu \)-synthesis controller succeeds in keeping system stability and achieving good performance under all perturbations within the operating range, while at the same time providing good disturbance rejection.
KeywordsRobust control \(\mu \)-synthesis thermoelectric cooler TEC robust stability robust performance disturbance rejection
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