2012
DOI: 10.1109/tac.2012.2187142
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Sensor-Based Globally Asymptotically Stable Filters for Attitude Estimation: Analysis, Design, and Performance Evaluation

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Cited by 57 publications
(31 citation statements)
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“…These topological obstructions can be avoided by allowing the attitude estimate to evolve on a larger state space; this strategy has recently been employed by Oliveira (2011a,b, 2012b) and by the authors (Grip, Saberi, & Johansen, 2011, by estimating a matrix with nine degrees of freedom that converges to a rotation matrix on SO(3). Batista et al (2012b) and Batista, Silvestre, and Oliveira (2012c) also considered the use of a separate observer to produce globally exponentially stable gyro bias estimates, although their approach requires stationary reference vectors. Attitude estimation using a single vector measurement has been considered by several authors (Batista et al, 2011b;Batista, Silvestre, & Oliveira, 2012a;Kinsey & Whitcomb, 2007;Lee, Leok, McClamroch, & Sanyal, 2007;Mahony, Hamel, Trumpf, & Lageman, 2009) and is possible under a persistency-of-excitation (pe) condition.…”
Section: Introductionmentioning
confidence: 99%
“…These topological obstructions can be avoided by allowing the attitude estimate to evolve on a larger state space; this strategy has recently been employed by Oliveira (2011a,b, 2012b) and by the authors (Grip, Saberi, & Johansen, 2011, by estimating a matrix with nine degrees of freedom that converges to a rotation matrix on SO(3). Batista et al (2012b) and Batista, Silvestre, and Oliveira (2012c) also considered the use of a separate observer to produce globally exponentially stable gyro bias estimates, although their approach requires stationary reference vectors. Attitude estimation using a single vector measurement has been considered by several authors (Batista et al, 2011b;Batista, Silvestre, & Oliveira, 2012a;Kinsey & Whitcomb, 2007;Lee, Leok, McClamroch, & Sanyal, 2007;Mahony, Hamel, Trumpf, & Lageman, 2009) and is possible under a persistency-of-excitation (pe) condition.…”
Section: Introductionmentioning
confidence: 99%
“…[5] were used successfully to estimate the attitude but they don't achieve global stability due to the topological obstruction [6]. A globally asymptotically stable complementary filters for attitude estimation were proposed in [7] by combining a vector-based filter with an optimal algorithm for attitude determination. In this method, the vector-based filter was designed as a Kalman filter using Linear Time Variant representation of the nonlinear kinematic equation.…”
Section: Introductionmentioning
confidence: 99%
“…It has the advantage to improve the quality of estimation by choosing the adequate filter. Generally, the structure based on complementary filter does not consider the sensors dynamics [5], [8], [7]. Indeed, sensors with low bandwidth provide measurement with phase delay which may lead to inaccurate estimation.…”
Section: Introductionmentioning
confidence: 99%
“…[1][2][3][4][5][6][7][8]). The classic approach consists in the use of a Kalman filter [9] and their nonlinear counterparts, such as the Extended Kalman Filter (EKF) or the Unscented Kalman Filter (UKF) [10,11].…”
Section: Introductionmentioning
confidence: 99%