TY - JOUR

T1 - Autonomous navigation of a non-holonomic robot for 3D tracking unsteady environmental boundaries

AU - Matveev, Alexey S.

AU - Semakova, Anna A.

N1 - Publisher Copyright: © 2021 John Wiley & Sons Ltd.

PY - 2021/6

Y1 - 2021/6

N2 - An under-actuated non-holonomic robot moves in three dimensions with a constant surge speed and is actuated by upper bounded yawing and pitching rates. The 3D workspace hosts an unknown and time-varying scalar field. The robot measures only its value at the current location and has no access to the field gradient. Starting from an occasional initial location, the robot should arrive at the level set (isosurface) where the field assumes a predefined value. After this, the robot should repeatedly sweep the entirety of this moving and deforming isosurface. We present a hybrid control law that solves this mission. This law switches among three discrete states, two of which are interchanged on a regular basis, and follows the sliding mode paradigm to drive the robot within a given discrete state. It does not visibly try to estimate the field gradient, is computationally inexpensive, and exhibits a regular, smooth motion. The proposed law is rigorously justified by a global convergence result. Its performance is demonstrated by computer simulation tests.

AB - An under-actuated non-holonomic robot moves in three dimensions with a constant surge speed and is actuated by upper bounded yawing and pitching rates. The 3D workspace hosts an unknown and time-varying scalar field. The robot measures only its value at the current location and has no access to the field gradient. Starting from an occasional initial location, the robot should arrive at the level set (isosurface) where the field assumes a predefined value. After this, the robot should repeatedly sweep the entirety of this moving and deforming isosurface. We present a hybrid control law that solves this mission. This law switches among three discrete states, two of which are interchanged on a regular basis, and follows the sliding mode paradigm to drive the robot within a given discrete state. It does not visibly try to estimate the field gradient, is computationally inexpensive, and exhibits a regular, smooth motion. The proposed law is rigorously justified by a global convergence result. Its performance is demonstrated by computer simulation tests.

KW - control design

KW - nonlinear control

KW - nonlinear models and systems

KW - sliding mode control

UR - http://www.scopus.com/inward/record.url?scp=85103376885&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/bf85be84-a4e3-3359-8841-670903cd8b32/

U2 - 10.1002/rnc.5479

DO - 10.1002/rnc.5479

M3 - Article

AN - SCOPUS:85103376885

VL - 31

SP - 4337

EP - 4360

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 9

ER -