Model-based feedback control of autonomous underwater gliders

We describe the development of feedback control for autonomous underwater gliders. Feedback is introduced to make the glider motion robust to disturbances and uncertainty. Our focus is on buoyancy-propelled, fixed-wing gliders with attitude controlled by means of active internal mass redistribution. We derive a nonlinear dynamic model of a nominal glider complete with hydrodynamic forces and coupling between the vehicle and the movable internal mass. We use this model to study stability and controllability of glide paths and to derive feedback control laws. For our analysis, we restrict to motion in the vertical plane and consider linear control laws. For illustration, we apply our methodology to a model of our own laboratory-scale underwater glider.

[1]  J. Bellingham,et al.  Autonomous Oceanographic Sampling Networks , 1993 .

[2]  E. D. Sontag,et al.  Optimality for underwater vehicles , 2001 .

[3]  N.E. Leonard,et al.  Orientation control of multiple underwater vehicles with symmetry-breaking potentials , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[4]  Michael S. Selig,et al.  Airfoils at low speeds , 1989 .

[5]  H. J.,et al.  Hydrodynamics , 1924, Nature.

[6]  O Schrenk,et al.  A Simple Approximation Method for Obtaining the Spanwise Lift Distribution , 1941, The Journal of the Royal Aeronautical Society.

[7]  Naomi Ehrich Leonard,et al.  Virtual leaders, artificial potentials and coordinated control of groups , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[8]  Marion O Mckinney,et al.  Summary of Methods for Calculating Dynamic Lateral Stability and Response and for Estimating Lateral Stability Derivatives , 1951 .

[9]  P. Harris,et al.  Aerodynamics , 1958, Nature.

[10]  J. W. Humberston Classical mechanics , 1980, Nature.

[11]  H. Stommel The Slocum Mission , 1989 .

[12]  Jan Roskam Methods for Estimating Stability and Control Derivatives of Conventional Subsonic Airplanes , 1971 .

[13]  H. C. Corben,et al.  Classical Mechanics (2nd ed.) , 1961 .

[14]  R. Davis,et al.  The autonomous underwater glider "Spray" , 2001 .

[15]  D. C. Webb,et al.  SLOCUM: an underwater glider propelled by environmental energy , 2001 .

[16]  C. C. Eriksen,et al.  Seaglider: a long-range autonomous underwater vehicle for oceanographic research , 2001 .

[17]  M. V. Cook,et al.  Dynamics of Flight , 1997 .

[18]  V. Rich Personal communication , 1989, Nature.

[19]  Robert E. Hage,et al.  Airplane Performance, Stability and Control , 1949 .

[20]  M. Chyba,et al.  Optimality for underwater vehicle's , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).