2014
DOI: 10.1109/taes.2013.120135
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Nonlinear Multiple Integrator and Application to Aircraft Navigation

Abstract: In this paper, a nonlinear robust multiple integrator algorithm is presented based on finite-time stability. The nonlinear integrator can obtain the multiple integrals of signal. Conditions are given ensuring finite-time stability for the presented integrator. The stability and robustness are analysed. The merits of the presented integrator include its multiple-integral estimation, finite-time stability, selecting parameters easily, restraining stochastic noise sufficiently, and almost no drift phenomenon. The… Show more

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Cited by 23 publications
(8 citation statements)
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References 29 publications
(51 reference statements)
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“…MEMS accelerometers and gyroscopes can determine the AAV position and velocity. These integration of the sensors is known as Inertial Navigation System (INS) [26], [27]. However, a MEMS INS suffers from bias errors.…”
Section: Data Acquisition Methodologiesmentioning
confidence: 99%
“…MEMS accelerometers and gyroscopes can determine the AAV position and velocity. These integration of the sensors is known as Inertial Navigation System (INS) [26], [27]. However, a MEMS INS suffers from bias errors.…”
Section: Data Acquisition Methodologiesmentioning
confidence: 99%
“…In [24], a nonlinear double-integral observer was presented to estimate synchronously the onefold and double integrals of a signal, and a generalized multiple integrator was designed to estimate the multiple integrals [25]. In [26], a nonlinear integral-derivative observer was proposed to estimate synchronously the integral and derivative of a signal.…”
Section: Introductionmentioning
confidence: 99%
“…In [15], a nonlinear double-integral observer with the abilities of noise rejection and drift correction was presented to estimate synchronously the onefold and double integrals of a signal. In [16], a generalized multiple integrator was designed to estimate the multiple integrals for a signal. In [17], a nonlinear integral-derivative observer was proposed to estimate synchronously the integral and derivative of a signal.…”
Section: Introductionmentioning
confidence: 99%
“…Inspired by the theory of finite-time stability [37,38], singular perturbation technique [39,40] and our previous works [15,16], a nonlinear integral-uncertainty observer is developed. Based on the theories in [15,16], an extended system is implemented after the uncertainty in system is taken as a new state.…”
Section: Introductionmentioning
confidence: 99%