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Unfalsified Adaptive PID Control for Time-Varying Systems Using a Fading Memory Cost Function

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Abstract

In this paper, we present a new cost function based on fading memory and time-window in order to decrease the influence of old data in unfalsified adaptive control applications, where the plant varies slowly or changes suddenly with time. Based on the unfalsified adaptive PID control, and the linear increasing cost-level algorithm (LICLA) switching algorithm, the new cost function can guarantee that the switching will stop and the system is stable. A systematic analysis of the system stabilization has been given. The simulation results show that without any prior knowledge of the system plant, when the current controller inserted in the system cannot guarantee the stability of the system, the cost function with a fading memory can detect the instability more quickly and then switch into a new stabilizing controller faster than the original cost function.

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Authors and Affiliations

  1. Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai, China

    Kexin Chen & Shaoyuan Li

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  1. Kexin Chen
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  2. Shaoyuan Li
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Correspondence to Shaoyuan Li.

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Chen, K., Li, S. Unfalsified Adaptive PID Control for Time-Varying Systems Using a Fading Memory Cost Function. Circuits Syst Signal Process 35, 3172–3191 (2016). https://doi.org/10.1007/s00034-015-0205-3

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