2015
DOI: 10.1016/j.ifacol.2015.10.259
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Uniform Semiglobal Exponential Stability of Integral Line-of-Sight Guidance Laws∗∗This work was partly supported by the Research Council of Norway through the Centres of Excellence funding scheme, project no. 223254 - AMOS

Abstract: This paper proves that an integral line-of-sight guidance law for path following control of underactuated marine vessels provides uniform semiglobal exponential stability. The stability result is stronger than what has been proved in previous literature, with stronger convergence properties and more robustness. The analysis is based on the 3-dimensional maneuvering control model of marine vessels, which describes both surface vessels and underwater vehicles moving in a horizontal plane. Both the kinematics and… Show more

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Cited by 10 publications
(3 citation statements)
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“…The simulations for the path following control of marine surface vessels were carried out and the case for autonomous underwater vehicles was also validated. Wiig et al (2015) presented the uniform semi-global exponential stability proof of the integral LOS guidance law for path following control of underactuated marine vessels. Both the kinematics and dynamics of the system were taken into account, and the simulation results were presented to support the theoretical analysis.…”
Section: Integral Losmentioning
confidence: 99%
“…The simulations for the path following control of marine surface vessels were carried out and the case for autonomous underwater vehicles was also validated. Wiig et al (2015) presented the uniform semi-global exponential stability proof of the integral LOS guidance law for path following control of underactuated marine vessels. Both the kinematics and dynamics of the system were taken into account, and the simulation results were presented to support the theoretical analysis.…”
Section: Integral Losmentioning
confidence: 99%
“…Based on the expected heading ψ d and expected angular velocity . ψ d given in the guidance subsystem [35], Equation (11) is used to obtain the heading control law as follows:…”
Section: Design Of Heading and Velocity Controllermentioning
confidence: 99%
“…The coefficient matrix of the system is Hurwitz matrix. Hence, the equilibrium state of the system ( u r , ψ, r) = (0, 0, 0) is global exponential stable [35,36], i.e., the control objectives lim t→∞ ψ(t) = ψ d , lim t→∞ u(t) − u d (t) = 0 are achieved.…”
Section: Stability Of Heading and Velocity Controllermentioning
confidence: 99%