Stable adaptive controller design, part II: Proof of stability

The paper presents a proof of stability of model reference adaptive control systems using direct control. The structure of the adaptive system is similar to that considered by Monopoli [1] and Narendra and Valavani [2] but contains an additional feedback term which ensures that the time derivative o...

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Veröffentlicht in:IEEE transactions on automatic control 1980-06, Vol.25 (3), p.440-448
Hauptverfasser: Narendra, K., Yuan-Hao Lin, Valavani, L.
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container_title IEEE transactions on automatic control
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creator Narendra, K.
Yuan-Hao Lin
Valavani, L.
description The paper presents a proof of stability of model reference adaptive control systems using direct control. The structure of the adaptive system is similar to that considered by Monopoli [1] and Narendra and Valavani [2] but contains an additional feedback term which ensures that the time derivative of the parameter error vector belongs to the L 2 space. The output of the plant is shown to be bounded by expressing the plant feedback loop as an exponentially stable system with a time-varying gain \dot{\phi}(\cdot)\in L^{2} in the feedback path.
doi_str_mv 10.1109/TAC.1980.1102362
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subjects Adaptive control
Adaptive systems
Continuous time systems
Equations
Error correction
Feedback
Programmable control
Prototypes
Stability analysis
Stochastic processes
title Stable adaptive controller design, part II: Proof of stability
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