Error estimates for multiwavelet approximations of a class of history dependent operators

Dadashi, Shirin; Bobade, Parag; Kurdila, Andrew J.

doi:10.1109/cdc.2016.7798602

Cited by 1 publication

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References 12 publications

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“…We exploit the predictor-corrector integration rule that has been introduced first in [37]. We also refer the interested reader to our previous paper [39] for details of such integration rules. Figure 6 Shows the simulation results for the case where = 0.01 and t h = 0.001.…”

Section: Online Identification Of History Dependent Aerodynamics and mentioning

confidence: 99%

Online estimation and adaptive control for a class of history dependent functional differential equations

2018

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This paper presents sufficient conditions for the convergence of online estimation methods and the stability of adaptive control strategies for a class of history dependent, functional differential equations. The study is motivated by the increasing interest in estimation and control techniques for robotic systems whose governing equations include history dependent nonlinearities. The functional differential equations in this paper are constructed using integral operators that depend on distributed parameters. As a consequence the resulting estimation and control equations are examples of distributed parameter systems whose states and distributed parameters evolve in finite and infinite dimensional spaces, respectively. Well-posedness, existence, and uniqueness are discussed for the class of fully actuated robotic systems with history dependent forces in their governing equation of motion. By deriving rates of approximation for the class of history dependent operators in this paper, sufficient conditions are derived that guarantee that finite dimensional approximations of the online estimation equations converge to the solution of the infinite dimensional, distributed parameter system. The convergence and stability of a sliding mode adaptive control strategy for the history dependent, functional differential equations is established using Barbalat's lemma.

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Section: Online Identification Of History Dependent Aerodynamics and mentioning

confidence: 99%

Online estimation and adaptive control for a class of history dependent functional differential equations

2018

Self Cite

View full text Add to dashboard Cite

show abstract

Error estimates for multiwavelet approximations of a class of history dependent operators

Cited by 1 publication

References 12 publications

Online estimation and adaptive control for a class of history dependent functional differential equations

Online estimation and adaptive control for a class of history dependent functional differential equations

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