Observer based finite-time switched controller of an underactuated surface vessel

In this work, a switched control law is proposed to make the desired set point of an underactuated surface vessel finite-time stabilization. The control law is separated into three actions. Each action makes the system have a double integrator subsystem and we use a finite-time controller to achieve a certain objective. In order to overcome the difficulties of measuring the linear and angular velocities of underactuated surface vessels, in the condition that only the position and orientation are measurable, we present second-order sliding-mode observers of the velocity u, v, and r for the vessels. Simulation results show that the control law is effective.

[1]  J. Bibring,et al.  Micromega/IR: Design and status of a near-infrared spectral microscope for in situ analysis of Mars samples , 2009 .

[2]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[3]  Y. ORLOV,et al.  Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems , 2004, SIAM J. Control. Optim..

[4]  J. Mustard,et al.  Quantitative compositional analysis of martian mafic regions using the MEx/OMEGA reflectance data 1. Methodology, uncertainties and examples of application , 2009 .

[5]  William M. Grundy,et al.  A Monte Carlo ray‐tracing model for scattering and polarization by large particles with complex shapes , 2000 .

[6]  Nabil Derbel,et al.  Asymptotic Backstepping Stabilization of an Underactuated Surface Vessel , 2006, IEEE Transactions on Control Systems Technology.

[7]  B. Hapke.  Bidirectional reflectance spectroscopy , 1984 .

[8]  D. A. G. Bruggeman.  Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen Substanzen , 1935 .

[9]  N. Melamed.  Optical Properties of Powders. Part I. Optical Absorption Coefficients and the Absolute Value of the Diffuse Reflectance. Part II. Properties of Luminescent Powders , 1963 .

[10]  G. Rybicki.  Radiative transfer , 2019, Climate Change and Terrestrial Ecosystem Modeling.

[11]  Gabriele Arnold,et al.  A Model of Spectral Albedo of Particulate Surfaces: Implications for Optical Properties of the Moon , 1999 .

[12]  R. M. Nelson,et al.  Size-dependent Measurements of the Scattering Properties of Planetary Regolith Analogs: A Challenge to Theory , 2003 .

[13]  J. Hovenier,et al.  The adding method for multiple scattering calculations of polarized light , 1987 .

[14]  Ma Baoli,et al.  Observer based output feedback stabilization of underactuated surface vessel , 2008, 2008 27th Chinese Control Conference.

[15]  M. Reyhanoglu.  Control and stabilization of an underactuated surface vessel , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[16]  K. Stamnes,et al.  Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media. , 1988, Applied optics.

[17]  W. Steen.  Absorption and Scattering of Light by Small Particles , 1999 .

[18]  Jean-Pierre Bibring,et al.  Quantitative compositional analysis of martian mafic regions using the MEx/OMEGA reflectance data. 2. Petrological implications , 2009 .

[19]  Kristin Ytterstad Pettersen,et al.  Global uniform asymptotic stabilization of an underactuated surface vessel , 2002, IEEE Trans. Autom. Control..

[20]  Kristin Y. Pettersen,et al.  Exponential stabilization of an underactuated surface vessel , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[21]  Dale P. Cruikshank,et al.  Comparison between the Shkuratov and Hapke scattering theories for solid planetary surfaces: Application to the surface composition of two Centaurs , 2002 .

[22]  Giuseppe Oriolo,et al.  Control of mechanical systems with second-order nonholonomic constraints: underactuated manipulators , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[23]  R. W. Brockett,et al.  Asymptotic stability and feedback stabilization , 1982 .

[24]  Leonid M. Fridman,et al.  Second-order sliding-mode observer for mechanical systems , 2005, IEEE Transactions on Automatic Control.

[25]  S. Erard,et al.  Nonlinear spectral mixing: Quantitative analysis of laboratory mineral mixtures , 2004 .

[26]  J. Mustard,et al.  Effects of Hyperfine Particles on Reflectance Spectra from 0.3 to 25 μm , 1997 .

[27]  Franz S. Hover,et al.  Underactuated point stabilization using predictive models with application to marine vehicles , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[28]  Jaime A. Moreno,et al.  A Lyapunov approach to second-order sliding mode controllers and observers , 2008, 2008 47th IEEE Conference on Decision and Control.

[29]  Michael I. Mishchenko,et al.  Bidirectional Reflectance of Flat, Optically Thick Particulate Layers: An Efficient Radiative Transfer Solution and Applications to Snow and Soil Surfaces , 1999 .

[30]  B. Hapke.  Bidirectional reflectance spectroscopy: 1. Theory , 1981 .

[31]  J. Garnett,et al.  Colours in Metal Glasses and in Metallic Films. , 1904, Proceedings of the Royal Society of London.