Abstract
SummaryThis paper addresses a multimodel unfalsified adaptive switching control with finite fixed time window cost function by utilizing a self‐falsification strategy. A closed‐loop stability proof is provided, and it is shown that the forgetting factor employed with finite fixed windowed cost function improves the closed‐loop performance. Furthermore, it is shown that the unfalsified adaptive control with nonmonotone cost function is unable to select the appropriate controller, and a new reset strategy is proposed to resolve this problem. The γ sequence monotonicity in the linear increasing cost‐level algorithm causes a performance deterioration, and a γ sequence reset is introduced for performance enhancement. Effectiveness of the proposed method is investigated for a nonlinear pH neutralization process and the 2‐cart benchmark example.
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