Model predictive control suitable for closed-loop re-identification |
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Affiliation: | 1. School of Mathematical Science, Huaiyin Normal University, Huai’an, 223300, Jiangsu, China;2. School of Mathematics and Information, Ludong University, Yantai, 264025, Shandong, China;3. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266590, Shandong, China;4. School of Mathematical Science, Dalian University of Technology, Dalian, 116024, Liaoning, China;5. School of Environmental and Biological Science, Dalian University of Technology, Dalian, 116024, Liaoning, China |
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Abstract: | The main problem of a closed-loop re-identification procedure is that, in general, the dynamic control and identification objectives are conflicting. In fact, to perform a suitable identification, a persistent excitation of the system is needed, while the control objective is to stabilize the system at a given equilibrium point. However, a generalization of the concept of stability, from punctual stability to (invariant) set stability, allows for a flexibility that can be used to avoid the conflict between these objectives. Taking into account that an invariant target set includes not only a stationary component, but also a transient one, the system could be excited without deteriorating the stability of the closed-loop. In this work, a MPC controller is proposed that ensures the stability of invariant sets at the same time that a signal suitable for closed-loop re-identification is generated. Several simulation results show the propose controller formulation properties. |
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Keywords: | Model predictive control Closed-loop identification Target set control Persistent excitation |
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