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 |
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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 |
format | Article |
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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. 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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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