Impact Time Control Guidance with Finite-Time Convergence Based on Pure Proportional Navigation

2019 ◽  
Author(s):  
Jinrae Kim ◽  
Youdan Kim
Keyword(s):  
Finite Time ◽  
Proportional Navigation ◽  
Impact Time ◽  
Finite Time Convergence ◽  
Time Control

scholarly journals Nonsingular PNG-Based Impact Time Control Guidance with Lower Dependence on Time-to-Go Estimate

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
Sijiang Chang ◽  
Shengfu Chen
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Research Literature ◽  
Proportional Navigation ◽  
Impact Time ◽  
Time Control ◽  
Practical Engineering ◽  
Adjustable Range ◽  
Natural Characteristics ◽  
Proportional Navigation Guidance

In a bid to take advantage of natural characteristics of the proportional navigation guidance (PNG) in practical engineering, the PNG-based impact time control guidance (ITCG) continues to be a popular alternative for achieving the desired impact time of a missile. For most such ITCG, the performance is dependent on the accuracy of the time-to-go estimation. Along the lines of the development of PNG-based ITCG in earlier studies, a nonsingular ITCG is proposed on the basis of nonlinear formulations. It is demonstrated that, by theoretical analysis and numerical simulation, this proposed ITCG is shown to be advantageous in certain circumstances. By deriving a novel additional acceleration command, the proposed law is of lower dependence on time-to-go estimate and is capable of eliminating some singularities, leading to wider adjustable range of the desired impact time and better adaptability to more conditions. This research is expected to be supplementary to those presented in the current research literature.

A New Finite Time Control Solution for Robotic Manipulators Based on Nonsingular Fast Terminal Sliding Variables and the Adaptive Super-Twisting Scheme

2019 ◽  
Vol 14 (3) ◽  
Author(s):  
Vo Anh Tuan ◽  
Hee-Jun Kang
Keyword(s):  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Robotic Manipulators ◽  
Control Law ◽  
Continuous Control ◽  
Terminal Sliding Mode ◽  
Finite Time Convergence ◽  
Position Errors ◽  
Time Control

In this study, a new finite time control method is suggested for robotic manipulators based on nonsingular fast terminal sliding variables and the adaptive super-twisting method. First, to avoid the singularity drawback and achieve the finite time convergence of positional errors with a fast transient response rate, nonsingular fast terminal sliding variables are constructed in the position errors' state space. Next, adaptive tuning laws based on the super-twisting scheme are presented for the switching control law of terminal sliding mode control (TSMC) so that a continuous control law is extended to reject the effects of chattering behavior. Finally, a new finite time control method ensures that sliding motion will take place, regardless of the effects of the perturbations and uncertainties on the robot system. Accordingly, the stabilization and robustness of the suggested control system can be guaranteed with high-precision performance. The robustness issue and the finite time convergence of the suggested system are totally confirmed by the Lyapunov stability principle. In simulation studies, the experimental results exhibit the effectiveness and viability of our proposed scheme for joint position tracking control of a 3DOF PUMA560 robot.

Data-Driven Method for Impact Time Control Based on Proportional Navigation Guidance

2020 ◽  
Vol 43 (5) ◽  
pp. 955-966 ◽  
Author(s):  
Yuheng Guo ◽  
Xiang Li ◽  
Houjun Zhang ◽  
Ming Cai ◽  
Feng He
Keyword(s):  
Data Driven ◽  
Proportional Navigation ◽  
Impact Time ◽  
Time Control ◽  
Proportional Navigation Guidance

scholarly journals Impact Time Control Cooperative Guidance Law Design Based on Modified Proportional Navigation

Aerospace ◽  
2021 ◽  
Vol 8 (8) ◽  
pp. 231
Author(s):  
Zhanyuan Jiang ◽  
Jianquan Ge ◽  
Qiangqiang Xu ◽  
Tao Yang
Keyword(s):  
Constant Velocity ◽  
Three Dimensional ◽  
Estimation Method ◽  
Time Varying ◽  
Two Dimensional ◽  
Proportional Navigation ◽  
Impact Time ◽  
Time Control ◽  
Guidance Law ◽  
Cooperative Guidance

The paper proposes a two-dimensional impact time control cooperative guidance law under constant velocity and a three-dimensional impact time control cooperative guidance law under time-varying velocity, which can both improve the penetration ability and combat effectiveness of multi-missile systems and adapt to the complex and variable future warfare. First, a more accurate time-to-go estimation method is proposed, and based on which a modified proportional navigational guidance (MPNG) law with impact time constraint is designed in this paper, which is also effective when the initial leading angle is zero. Second, adopting cooperative guidance architecture with centralized coordination, using the MPNG law as the local guidance, and the desired impact time as the coordination variables, a two-dimensional impact time control cooperative guidance law under constant velocity is designed. Finally, a method of solving the expression of velocity is derived, and the analytic function of velocity with respect to time is given, a three-dimensional impact time control cooperative guidance law under time-varying velocity based on desired impact time is designed. Numerical simulation results verify the feasibility and applicability of the methods.

scholarly journals RBFNN-Based Singularity-Free Terminal Sliding Mode Control for Uncertain Quadrotor UAVs

2021 ◽  
Vol 2021 ◽  
pp. 1-10 ◽  
Author(s):  
Meiling Tao ◽  
Xiongxiong He ◽  
Shuzong Xie ◽  
Qiang Chen
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Auxiliary Function ◽  
External Disturbances ◽  
Terminal Sliding Mode ◽  
Finite Time Convergence ◽  
Time Control ◽  
Control Scheme ◽  
Unknown Disturbances ◽  
Quadrotor Unmanned Aerial Vehicles

In this article, a singularity-free terminal sliding mode (SFTSM) control scheme based on the radial basis function neural network (RBFNN) is proposed for the quadrotor unmanned aerial vehicles (QUAVs) under the presence of inertia uncertainties and external disturbances. Firstly, a singularity-free terminal sliding mode surface (SFTSMS) is constructed to achieve the finite-time convergence without any piecewise continuous function. Then, the adaptive finite-time control is designed with an auxiliary function to avoid the singularity in the error-related inverse matrix. Moreover, the RBFNN and extended state observer (ESO) are introduced to estimate the unknown disturbances, respectively, such that prior knowledge on system model uncertainties is not required for designing attitude controllers. Finally, the attitude and angular velocity errors are finite-time uniformly ultimately bounded (FTUUB), and numerical simulations illustrated the satisfactory performance of the designed control scheme.

scholarly journals Nonlinear Voltage Regulation Algorithm for DC-DC Boost Converter with Finite-Time Convergence

2019 ◽  
Vol 2019 ◽  
pp. 1-5 ◽  
Author(s):  
Chun Duan ◽  
Di Wu
Keyword(s):  
Finite Time ◽  
Control Algorithm ◽  
State Space Model ◽  
Voltage Regulation ◽  
Boost Converter ◽  
Control Technique ◽  
Robust Performance ◽  
Finite Time Convergence ◽  
Time Control ◽  
Time Simulation

For the DC-DC Boost converter system, this paper employs the finite-time control technique to design a new nonlinear fast voltage regulation control algorithm. Compared with the existing algorithm, the main advantage of the proposed algorithm lies in the fact that it can offer a fast convergent rate, i.e., finite-time convergence. Based on the average state space model of Boost converter system and finite-time control theory, rigorous stability analysis showed that the output voltage converges to the reference voltage in a finite time. Simulation results demonstrate the efficiency of the proposed method. Compared with PI control algorithm, it is shown that the proposed algorithm has a faster regulation performance and stronger robust performance on load-variation.

scholarly journals Prescribed Finite-time ESO-based Prescribed Finite-time Control and Its Application to Partial IGC Design

2021 ◽  
Author(s):  
Lei Cui ◽  
Nan Jin
Keyword(s):  
Control Strategy ◽  
Finite Time ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Guidance And Control ◽  
Finite Time Convergence ◽  
Time Control ◽  
New Type ◽  
System States ◽  
And Control

Abstract This paper proposes a new extended stateobserver-based sliding mode control strategy with prescribed finite-time convergence. Firstly, a novel prescribed finite-time extended state observer is designed, which estimates the disturbance accurately within a prescribed finite time and effectively solves peaking value problem. Secondly, a new type of second-order prescribed finite-time sliding mode controller is designed to ensure system states converge within a prescribed finite time. Then, the proposed control strategy is applied to the design of partial integrated guidance and control with two-loop controller structure. Finally, the validity of the proposed methodology is verified through numerical simulation.

scholarly journals Impact time control using biased proportional navigation for missiles with varying velocity

2020 ◽  
Vol 33 (3) ◽  
pp. 956-964
Author(s):  
Guoxin SUN ◽  
Qiuqiu WEN ◽  
Zhiqiang XU ◽  
Qunli XIA
Keyword(s):  
Proportional Navigation ◽  
Impact Time ◽  
Time Control

Attitude Maneuver Control of Flexible Spacecraft with Finite-Time Convergence

2012 ◽  
Vol 157-158 ◽  
pp. 847-851
Author(s):  
Shu Nan Wu ◽  
Zhao Wei Sun ◽  
Xian De Wu
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Flexible Spacecraft ◽  
Terminal Sliding Mode Control ◽  
Singularity Problem ◽  
Terminal Sliding Mode ◽  
Finite Time Convergence ◽  
Time Control ◽  
Attitude Maneuver ◽  
Sliding Mode Controllers

The attitude maneuver control of flexible spacecraft with finite-time convergence is investigated in this paper. Two terminal sliding mode controllers are proposed to achieve the finite-time control, which guarantee the convergence of attitude maneuver errors in finite time. The singularity problem associated with the terminal sliding mode control is solved by employing a new sliding variable. Numerical simulations are finally provided to illustrate the performance of the proposed controllers.

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