Proceedings of the 44th IEEE Conference on Decision and Control
DOI: 10.1109/cdc.2005.1582222
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Cross-track control for underactuated autonomous vehicles

Abstract: This paper considers 3-dimensional cross-track control for a class of underactuated autonomous vehicles. A control strategy is presented that guarantees global κ-exponential stability of the cross-track error to straight line trajectories in three dimensional space. The results are based on a Line-of-Sight guidance algorithm and stability results are proven using nonlinear cascaded systems theory. Globally κ-exponentially stabilizing controllers are synthesized using the technique of sliding mode with eigenval… Show more

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Cited by 55 publications
(27 citation statements)
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References 17 publications
(24 reference statements)
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“…UGAS/ULES is also referred to as global κ-exponential stability as defined by Sørdalen and Egeland (1995). The result of Pettersen and Lefeber (2001) was further extended to include a more complete vehicle model by Børhaug and Pettersen (2005), and Fredriksen and Pettersen (2006).…”
Section: +4773594599mentioning
confidence: 99%
See 1 more Smart Citation
“…UGAS/ULES is also referred to as global κ-exponential stability as defined by Sørdalen and Egeland (1995). The result of Pettersen and Lefeber (2001) was further extended to include a more complete vehicle model by Børhaug and Pettersen (2005), and Fredriksen and Pettersen (2006).…”
Section: +4773594599mentioning
confidence: 99%
“…2 LOS proportional guidance law Equation (13) is similar to the formulae used by Healey and Lienard (1993), Pettersen and Lefeber (2001), Børhaug and Pettersen (2005), Breivik and Fossen (2005), Fredriksen and Pettersen (2006), and Breivik and Fossen (2009). The proportional LOS guidance law for (15) is chosen as:…”
Section: Kinematic Equationsmentioning
confidence: 99%
“…Most papers considering nonlinear motion control for underactuated marine surface vessels typically use some variant of the model (10)-(11), and assume that the model parameters are either perfectly known or known with only a small degree of uncertainty, see, e.g., (Breivik and Fossen, 2004), (Børhaug and Pettersen, 2005), (Do and Pan, 2006), (Fredriksen and Pettersen, 2006), and (Aguiar and Hespanha, 2007). In practice, it can be quite hard to obtain the parameter values required to populate (11), especially with regard to the hydrodynamic damping matrix.…”
Section: Modeling Considerationsmentioning
confidence: 99%
“…ships, autonomous underwater vehicles (auv) and quadrotors (cf. Børhaug and Pettersen (2005), Fossen et al (2003), Tayebi and McGilvray (2006)). Surprisingly, fixed-wing uavs are rarely defined as underactuated, even though the same constraints as for an auv are present.…”
Section: Introductionmentioning
confidence: 99%