Abstract

This work is inspired by motion control of cleaning robots, operating in certain endogenous environments, and performing various tasks like door cleaning, wall sanitizing, etc. The base platform’s motion for these robots is generally similar to the motion of four-wheel cars. Most of the cleaning and maintenance tasks require detection, path planning, and control. The motion controller’s job is to ensure the robot follows the desired path or a set of points, pre-decided by the path planner. This control loop generally requires some feedback from the on-board sensors, and odometry modules, to compute the necessary velocity inputs for the wheels. As the sensors and odometry modules are prone to environmental noise, dead-reckoning errors, and calibration errors, the control input may not provide satisfactory performance in a closed-loop. This paper develops a robust-observer based sliding mode controller to fulfill the motion control task in the presence of incomplete state measurements and sensor inaccuracies. A robust intrinsic observer design is proposed to estimate the input matrix, which is used for dynamic feedback linearization. The resulting uncertain dynamics are then stabilized through a sliding mode controller. The proposed robust-observer based sliding mode technique assures asymptotic trajectory tracking in the presence of measurement uncertainties. Lyapunov based stability analysis is used to guarantee the convergence of the closed-loop system, and the proposed strategy is successfully validated through numerical simulations.

Highlights

  • In the recent past, wheeled mobile robots have played a critical role in automating various cleaning and sanitation tasks [1,2]

  • This paper considers a four-wheel driven car-like robot for deriving trajectory tracking control law

  • The path tracking task was common in all the cases, where the desired path was to track a circle of 2 m radius

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Summary

Introduction

In the recent past, wheeled mobile robots have played a critical role in automating various cleaning and sanitation tasks [1,2]. A motion control policy takes the reference path and sensor measurements as its input, and provide the required input velocity/torque to the motors governing the wheels. The motion control for wheeled mobile robots (WMRs) has received considerable attention from the research community due to its importance in the efficient completion of the required task. All the control techniques require the measurements of the state variables, that define the mathematical model of the robot. The absence of heading angle information and the presence of measurement uncertainties are the motivation behind this paper To solve both the problems simultaneously, the work proposes an observer-based robust dynamic feedback linearization for trajectory tracking control in WMR. The dynamic feedback linearization requires the computation of a Jacobian type matrix comprising of trigonometric functions of heading angle, which is unavailable for measurement.

Mathematical Model
Differential Steering
Dynamic Feedback Linearization
Estimation of Θ
Robust Control Law
Simulation Results and Discussion
Conclusions
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