- Sigma Mühendislik ve Fen Bilimleri Dergisi
- Vol: 35 Issue: 3
- POINT STABILIZATION TECHNIQUE USING MODEL PREDICTIVE CONTROL AND EXACT EUCLIDIAN DISTANCE TRANSFORM ...
POINT STABILIZATION TECHNIQUE USING MODEL PREDICTIVE CONTROL AND EXACT EUCLIDIAN DISTANCE TRANSFORM METHODS
Authors : Suat KARAKAYA, Gürkan KÜÇÜKYILDIZ, Hasan OCAK
Pages : 389-403
View : 15 | Download : 3
Publication Date : 2017-09-01
Article Type : Other
Abstract :This paper presents a point stabilization method which is a hybrid form of Exact Euclidian Distance Transform (EEDT) and Model Predictive Control (MPC) theory. An optimal control problem is evaluated using a wheeled mobile robot’s mathematical model. The model is represented in polar coordinates considering non-holonomic constraints. The optimal input parameters are obtained by solving a sequential quadratic cost function. The EEDT algorithm provides via-points starting from the initial position to the desired final coordinates. The line segments connected by these points form the shortest obstacle free static trajectory. Assuming that all of the occupied regions in the map are fully known, states of the mobile robot are constrained by avoiding the intersection of the obstacles and the planned path. Point stabilization phase is performed in a partial manner by applying MPC algorithm on consecutive via points. The overall stabilized trajectory between the start and goal is obtained by connecting the stabilized sub-trajectories. This approach provides a way to stabilize a trajectory without determining convex sub-regions on a non-convex map. The results on a simulated differentially driven mobile robot prove that the proposed algorithm gives satisfactory results for point stabilization problem in presence of static obstacles on a non-convex map.Keywords : Model predictive control, point stabilization, static path planning, mobile robot