Impact Angle Control Guidance under Field-of-View Limitations Based on an Initial-State-Dependent Sliding Surface

2022 ◽  
Author(s):  
Yuhei Kikukawa ◽  
Takeshi Yamasaki ◽  
Hiroyuki Takano ◽  
Isao Yamaguchi
Keyword(s):  
Impact Angle ◽  
Field Of View ◽  
Sliding Surface ◽  
Initial State ◽  
State Dependent

FOV constrained guidance law for nonstationary nonmaneuvering target interception with any impact angle

2021 ◽  
pp. 095441002110468
Author(s):  
Nikhil Kumar Singh ◽  
Sikha Hota
Keyword(s):  
Kinematic Model ◽  
Angular Spectrum ◽  
Impact Angle ◽  
Field Of View ◽  
Two Dimensional ◽  
Proportional Navigation ◽  
Guidance Law ◽  
Real World Applications ◽  
Target Interception ◽  
Impact Angles

This paper presents the nonstationary nonmaneuvering target interception with all possible desired impact angles in a two-dimensional (2D) aerial engagement scenario, where the target can move in any direction. The paper also considers the field-of-view (FOV) constraint for designing the guidance law so that the target is always visible while following the missile trajectory in the entire engagement time, which makes it feasible for real world applications. The guidance law is based on the pure proportional navigation (PPN) to achieve any impact angle of the entire angular spectrum. The proposed guidance law is then simulated for intercepting a nonstationary nonmaneuvering target using a kinematic model of a missile to demonstrate the efficacy of the presented scheme. A comparison with the related work existing in the literature has also been added to establish the superiority of the present work.

A sufficient criterion for particles performing a diffusive motion with state-dependent death rate to die with probability one

1979 ◽  
Vol 11 (03) ◽  
pp. 510-526 ◽  
Author(s):  
Wolfgang Mergenthaler
Keyword(s):  
Integral Equation ◽  
State Space ◽  
Survival Probability ◽  
Death Rate ◽  
Sufficient Criterion ◽  
Initial State ◽  
Diffusive Motion ◽  
State Dependent

We consider an individual which performs a diffusive motion in a certain state space and dies according to a state-dependent death rate. An integral equation for the survival probability is derived, and finally a sufficient criterion for the existence of an initial state is given, for which the corresponding individual dies with probability one.

Look-Angle-Shaping Guidance Law for Impact Angle and Time Control With Field-of-View Constraint

2020 ◽  
Vol 56 (2) ◽  
pp. 1602-1612 ◽  
Author(s):  
Hyeong-Geun Kim ◽  
Jun-Yong Lee ◽  
Hyoun Jin Kim ◽  
Hyuck-Hoon Kwon ◽  
Jang-Seong Park
Keyword(s):  
Impact Angle ◽  
Field Of View ◽  
Time Control ◽  
Guidance Law

scholarly journals Research on trajectory tracking control of manipulator based on modified terminal sliding mode with double power reaching law

2019 ◽  
Vol 16 (3) ◽  
pp. 172988141984789 ◽  
Author(s):  
Yan Xia ◽  
Wei Xie ◽  
Jiachen Ma
Keyword(s):  
Control Strategy ◽  
Finite Time ◽  
Sliding Mode ◽  
Practical Implementation ◽  
Sliding Surface ◽  
Initial State ◽  
Trajectory Tracking Control ◽  
Terminal Sliding Mode ◽  
Reaching Law ◽  
Terminal Sliding Surface

This article proposes a control strategy that combines the double power reaching law with the modified terminal sliding mode for tracking tasks of rigid robotic manipulators quickly and accurately. As a significant novelty, double power reaching law can reach the sliding surface in finite time when the system is in any initial state. At the same time, modified terminal sliding surface guarantees the system that position and velocity error converge to be zero approximately. In other words, the control law is able to make the system slip to the equilibrium point in a finite time and improves the speed of the system approaching and sliding modes. The simulation results demonstrate the practical implementation of the control strategy, verify its robustness of more accurate tracking and faster disturbance rejection, and weaken the chattering phenomenon more effectively compared with the conventional terminal sliding mode controller.

Three-dimensional impact angle control guidance with field-of-view constraint

2020 ◽  
Vol 105 ◽  
pp. 106014
Author(s):  
Bojun Liu ◽  
Mingshan Hou ◽  
Ying Yu ◽  
Zhonghua Wu
Keyword(s):  
Three Dimensional ◽  
Impact Angle ◽  
Field Of View

scholarly journals Factorization Identities for Reflected Processes, with Applications

2013 ◽  
Vol 50 (03) ◽  
pp. 632-653
Author(s):  
Brian H. Fralix ◽  
Johan S. H. van Leeuwaarden ◽  
Onno J. Boxma
Keyword(s):  
Lévy Processes ◽  
Diffusion Processes ◽  
Queueing Systems ◽  
Levy Processes ◽  
Initial State ◽  
Batch Arrivals ◽  
Preemptive Resume ◽  
State Dependent ◽  
Arbitrary Initial State ◽  
And Diffusion

We derive factorization identities for a class of preemptive-resume queueing systems, with batch arrivals and catastrophes that, whenever they occur, eliminate multiple customers present in the system. These processes are quite general, as they can be used to approximate Lévy processes, diffusion processes, and certain types of growth‒collapse processes; thus, all of the processes mentioned above also satisfy similar factorization identities. In the Lévy case, our identities simplify to both the well-known Wiener‒Hopf factorization, and another interesting factorization of reflected Lévy processes starting at an arbitrary initial state. We also show how the ideas can be used to derive transforms for some well-known state-dependent/inhomogeneous birth‒death processes and diffusion processes.

Research the Influence of Part State Sliding Surface on SMC Chattering

2014 ◽  
Vol 543-547 ◽  
pp. 203-206
Author(s):  
Yu Shen ◽  
Yi Fan
Keyword(s):  
Accurate Estimation ◽  
Sliding Surface ◽  
Describing Function ◽  
Response Curves ◽  
Initial State ◽  
Surface Design ◽  
State Selection ◽  
The Relationship

The influence of sliding surface on SMC design is considered. How the sliding surface affect the chattering frequency and amplitude is investigated by describing function (DF) approach. In part-state sliding surface SMC, the chattering can be changed by feedback state selection. The relationship between chattering types and initial state values is analyzed. The proposed approach is proved has sufficient accurate estimation and judgment by simulation response curves. Simulation curves show that sliding surface design plays important roles in chattering frequency and amplitude.

Strain Localization of Sand Based on a State-Dependent Critical State Model

2011 ◽  
Vol 261-263 ◽  
pp. 1365-1369
Author(s):  
Ping Hu ◽  
Mao Song Huang ◽  
Shao Kun Ma ◽  
Hui Lai Qin
Keyword(s):  
Plane Strain ◽  
Strain Localization ◽  
Critical State ◽  
The State ◽  
Critical State Model ◽  
State Model ◽  
Initial State ◽  
State Dependent

A state-dependent critical state model is employed to analyze strain localization of sand in this paper. The sand model is developed based on the concept of the state-dependent critical state for sands, and an analysis of strain localization is performed on the drained plane strain tests of Hostun sand. The results show that the state-dependent critical state model is capable of simulating the effect of initial state on strain localization compatibly.

A sufficient criterion for particles performing a diffusive motion with state-dependent death rate to die with probability one

1979 ◽  
Vol 11 (3) ◽  
pp. 510-526 ◽  
Author(s):  
Wolfgang Mergenthaler
Keyword(s):  
Integral Equation ◽  
State Space ◽  
Survival Probability ◽  
Death Rate ◽  
Sufficient Criterion ◽  
Initial State ◽  
Diffusive Motion ◽  
State Dependent

We consider an individual which performs a diffusive motion in a certain state space and dies according to a state-dependent death rate. An integral equation for the survival probability is derived, and finally a sufficient criterion for the existence of an initial state is given, for which the corresponding individual dies with probability one.

Sign in / Sign up

Export Citation Format

Share Document