Three-Dimensional Nonlinear Differential Geometric Path-Following Guidance Law

2015 ◽  
Vol 38 (12) ◽  
pp. 2366-2385 ◽  
Author(s):  
Namhoon Cho ◽  
Youdan Kim ◽  
Sanghyuk Park
Keyword(s):  
Three Dimensional ◽  
Path Following ◽  
Guidance Law

scholarly journals Design of Three-Dimensional Path Following Guidance Logic

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Sungsu Park
Keyword(s):  
Numerical Simulations ◽  
Three Dimensional ◽  
Path Following ◽  
Guidance Law ◽  
Virtual Target ◽  
Projection Point ◽  
Motion Strategy

This paper presents a three-dimensional path following guidance logic. The proposed guidance logic is composed of the guidance law and the motion strategy of virtual target along the desired path. The guidance law makes a vehicle purse the virtual target, and the motion strategy explicitly specifies the motion of virtual target by introducing the concept of the projection point and the tangentially receding distance. The proposed logic is simple and efficient and yet provides precise path following. Numerical simulations are performed to demonstrate the effectiveness of the proposed guidance logic.

scholarly journals A Three-Dimensional Guidance Logic for Continuous Curvature Path Following

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Sungsu Park
Keyword(s):  
Numerical Simulations ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Path Following ◽  
Guidance Law ◽  
Virtual Target ◽  
Practical Guidance ◽  
Continuous Curvature ◽  
Projection Point ◽  
Three Dimensional Space

A new simple and practical guidance logic is proposed for a vehicle to follow a general continuous curvature path defined in a three-dimensional space. The proposed guidance logic is formulated in such a way that the guidance law is to generate the command acceleration such that a vehicle pursues the designed moving virtual target, and this eventually makes a vehicle to follow a desired path. The position and velocity of the virtual target are specified explicitly by introducing the concept of the projection point and the tangentially receding distance. Numerical simulations are conducted to evaluate the precise path-following capability of the proposed guidance logic.

Nested Saturation Based Guidance Law for Unmanned Aerial Vehicles1

2019 ◽  
Vol 141 (7) ◽  
Author(s):  
Jay Patrikar ◽  
Venkata Ramana Makkapati ◽  
Anay Pattanaik ◽  
Hardik Parwana ◽  
Mangal Kothari
Keyword(s):  
Input Saturation ◽  
Three Dimensional ◽  
Path Following ◽  
Lyapunov Theory ◽  
Vehicle Speed ◽  
External Disturbances ◽  
Guidance Law ◽  
Planar Spaces ◽  
3D Environments ◽  
Straight Lines

Abstract In this paper, using the theory of input saturation, a novel path following guidance law for fixed-wing unmanned aerial vehicles (UAVs) is developed. The proposed guidance law is adapted from a pursuit plus line-of-sight guidance law. Furthermore, it employs inertial speed for computing the acceleration commands which adds an adaptive capability of accommodating vehicle speed changes due to external disturbances such as wind. The guidance law is initially developed for two-dimensional (2D) environments which enables vehicles to follow straight lines, circles, and ellipses in planar spaces. Lyapunov theory is used to establish its stability properties, followed by a comparative study with existing algorithms, proposed for 2D environments, to establish its efficacy. The guidance law is then extended for the case of three-dimensional (3D) environments, and appropriate simulation studies are performed. Finally, real-world flight tests for 2D as well as 3D cases are presented, establishing the applicability of the proposed law on UAVs.

A non-overshooting controller for vehicle path following

2021 ◽  
pp. 014233122199438
Author(s):  
Tong Xu ◽  
Dong Wang ◽  
Weigong Zhang
Keyword(s):  
Field Experiments ◽  
Fitness Function ◽  
Path Following ◽  
Settling Time ◽  
Distribution Model ◽  
Positioning Errors ◽  
Guidance Law ◽  
Initial Control ◽  
Vehicle Path ◽  
Pavement Construction

Unmanned pavement construction is of great significance in China, and one of the most important issues is how to follow the designed path near the boundary of the pavement construction area to avoid curbs or railings. In this paper, we raise a simple yet effective controller, named the proportional-integral-radius and improved particle swarm optimization (PIR-IPSO) controller, for fast non-overshooting path-following control of an unmanned articulated vehicle (UAV). Firstly, UAV kinematics model is introduced and segmented UAV steering dynamics model is built through field experiments; then, the raw data collected by differential global positioning system (DGPS) is used to build the measurement error distribution model that simulates positioning errors. Next, line of sight (LOS) guidance law is introduced and the LOS initial parameter is assigned based on human driving behavior. Besides, the initial control parameters tuned by the Ziegler-Nichols (ZN) method are used as the initial iterative parameters of the PSO controller. An improved PSO fitness function is also designed to achieve fast non-overshoot control performance. Experiments show that compared with the PSO, ZN and ZN-PSO controller, the PIR-PSO-based controller has significantly less settling time and almost no overshoot in various UAV initial states. Furthermore, compared with other controllers, the proposed PIR-IPSO-based controller achieves precise non-overshoot control, relatively less settling time and centimeter-level positioning error in various initial deviations.

scholarly journals Three-Dimensional Fixed-Time Cooperative Guidance Law With Impact Angle Constraint and Prespecified Impact Time

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 29755-29763
Author(s):  
Mu Lin ◽  
Xiangjun Ding ◽  
Chunyan Wang ◽  
Li Liang ◽  
Jianan Wang
Keyword(s):  
Three Dimensional ◽  
Fixed Time ◽  
Impact Angle ◽  
Impact Time ◽  
Guidance Law ◽  
Cooperative Guidance ◽  
Impact Angle Constraint

Design of finite-time guidance law based on observer and head-pursuit theory

2021 ◽  
pp. 095441002098456
Author(s):  
Chenqi Zhu
Keyword(s):  
Finite Time ◽  
Three Dimensional ◽  
Hypersonic Vehicle ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Reaching Law ◽  
Guidance Law ◽  
Fast Power ◽  
Simulation Results ◽  
Guidance Laws

In order to improve the guiding accuracy in intercepting the hypersonic vehicle, this article presents a finite-time guidance law based on the observer and head-pursuit theory. First, based on a two-dimensional model between the interceptor and target, this study applies the fast power reaching law to head-pursuit guidance law so that it can alleviate the chattering phenomenon and ensure the convergence speed. Second, target maneuvers are considered as system disturbances, and the head-pursuit guidance law based on an observer is proposed. Furthermore, this method is extended to a three-dimensional case. Finally, comparative simulation results further verify the superiority of the guidance laws designed in this article.

Quaternion Based Three-Dimensional Impact Angle Control Guidance Law

2021 ◽  
pp. 1-1
Author(s):  
Jeong-Hun Kim ◽  
Sang-Sup Park ◽  
Kuk-Kwon Park ◽  
Chang-Kyung Ryoo
Keyword(s):  
Three Dimensional ◽  
Impact Angle ◽  
Guidance Law
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