Stabilizing Controllers for Landmark Navigation of Planar Robots in an Obstacle-Ridden Workspace

This paper essays a new solution to the landmark navigation problem of planar robots in the presence of randomly fixed obstacles through a new dynamic updating rule involving the orientation and steering angle parameters of a robot. The dynamic updating rule utilizes a first-order nonlinear ordinary differential equation for the changing of landmarks so that whenever a landmark is updated, the path followed by the robot remains continuous and smooth. This waypoints guidance is via specific landmarks selected from a new set of rules governing the robot’s field of view. The governing control laws guarantee asymptotic stability of the 2D point robot system. As an application, the landmark motion planning and control of a car-like mobile robot navigating in the presence of fixed elliptic-shaped obstacles are considered. The proposed control laws take into account the geometrical constraints imposed on steering angle and guarantee eventual uniform stability of the car-like system. Computer simulations, using Matlab software, are presented to illustrate the effectiveness of the proposed technique and its stabilizing algorithm.

A Method of Extended Jacobian and Firefly Algorithm for the Kinematic Analysis of Planar Robots

Planar robots are one of the optimal robot form impacted in typical Cartesian plane. It consists of fixed divisions and connectors positioned in series which offers like working of human arm. The one end of robot arm position is fixed and the other arm of the robot move through the Cartesian plane by modifying the framework of arm joints. The kinematic analysis on planar robot includes position, velocity and acceleration are validated not by considering the force which cause motion to robot. The manipulator with lack of design and fault tolerant operation is analytical for application in remote and threat environment where periodic maintenance and improvements are not available. The most advanced architecture and operational flexibility of robots offer new probability and advancement in a large scale of fabrication process. This paper proposes inverse kinematic analysis of PUMA 560 robotic arm to conclude long range of fault tolerance. The proposed work incorporates Jacobian and Firefly algorithm are generally useful for determining inverse kinematics for redundant robots.