Stability analysis and performance improvement of uncertain linear systems with designing of a suitable reset law


In reset management systems, the reset law could be a main characteristic of the reset controllers. During this study, a model prediction-based mostly framework is proposed to determine a appropriate reset law for the unsure linear control system. For achieving this goal, 1st a typical uncertain linear plant is taken into account and then the state area of the closed-loop system, that consists of the uncertain plant and a linear controller, is formulated. The steadiness downside of such unsure system is translated into a feasibility assessment of some linear matrix inequality sets and then primarily based on the model prediction strategy a reset law is derived to minimise a quadratic price operate. When the system states enter into a reset set, according to the computed reset law, the controller states are reset. This technique is applied to a typical distillation column to indicate the effectiveness of the proposed approach and is compared with non-reset control system.

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