Decidability of Trajectory-Based Equations

Decidability of Trajectory-Based Equations

Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum

In this paper, we solve higher index differential algebraic equations (DAEs) by transforming them into integral algebraic equations (IAEs). We apply collocation methods on continuous piece-wise polynomials space to solve the obtained higher index IAEs. The efficiency of the given method is improved by using a recursive formula for computing the integral part. Finally, we apply the obtained algo...

Robust Sliding Mode Controller for Trajectory Tracking and Attitude Control of a Nonholonomic Spherical Mobile Robot

Based on dynamic modeling, robust trajectory tracking control of attitude and position of a spherical mobile robot is proposed. In this paper, the spherical robot is composed of a spherical shell and three independent rotors which act as the inner driver mechanism. Owing to rolling without slipping assumption, the robot is subjected to two nonholonomic constraints. The state space representatio...

Decidability and Tameness in the Theory of Finite Semigroups

Trajectory Optimization of Cable Parallel Manipulators in Point-to-Point Motion

Planning robot trajectory is a complex task that plays a significant role in design and application of robots in task space. The problem is formulated as a trajectory optimization problem which is fundamentally a constrained nonlinear optimization problem. Open-loop optimal control method is proposed as an approach for trajectory optimization of cable parallel manipulator for a given two-end-po...