A comparison between H-infinity/Mu-synthesis control and sliding-mode control for robust control of a small autonomous underwater vehicle

This paper presents a comparison of H/sub /spl infin////spl mu/-synthesis sliding-mode that was done for heading and depth control of the Draper Laboratory/MIT Sea Grant Sea Squirt autonomous underwater vehicle (AUV). The approximate decoupling of the AUV heading and depth dynamics allowed us to have decoupled heading and depth designs for both the H/sub /spl infin////spl mu/-synthesis and the sliding-mode methodologies. The H/sub /spl infin////spl mu/-synthesis based controllers and the sliding-mode based controllers were implemented and tested by using a simulation of the AUV full order nonlinear model (including thruster and sensor dynamics). We analyzed the performance of the controllers (for a simultaneous depth and maneuver) over the approximate range of axial velocities commanded by the AUV. The performance of the controllers in the face of additive sensor noise was also analyzed.

[1]  Dante C. Youla,et al.  Modern Wiener-Hopf Design of Optimal Controllers. Part I , 1976 .

[2]  J. Feldman,et al.  DTNSRDC Revised Standarrd Submarine Equations of Motion , 1979 .

[3]  John C. Doyle Analysis of Feedback Systems with Structured Uncertainty , 1982 .

[4]  K. Glover All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[5]  John Doyle,et al.  Structured uncertainty in control system design , 1985, 1985 24th IEEE Conference on Decision and Control.

[6]  M. Safonov,et al.  Hankel model reduction without balancing-A descriptor approach , 1987, 26th IEEE Conference on Decision and Control.

[7]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[8]  D. Meyer A Fractional Approach to Model Reduction , 1988, 1988 American Control Conference.

[9]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[10]  Eric Vaughn Wallar Design and full-scale testing of a sliding mode controller for a small underwater vehicle , 1989 .

[11]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[12]  Jean-Jacques E. Slotine,et al.  The influence of thruster dynamics on underwater vehicle behavior and their incorporation into control system design , 1990 .

[13]  Nazareth Bedrossian,et al.  Nonlinear control using linearizing transformations , 1991 .

[14]  K. Glover,et al.  A characterization of all solutions to the four block general distance problem , 1991 .

[15]  Cedric Leonard Logan Robust controller design and evaluation for a small underwater vehicle , 1993 .