scholarly journals Influence of Seeker Disturbance Rejection and Radome Error on the Lyapunov Stability of Guidance Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Kaiwei Chen ◽  
Qunli Xia ◽  
Xiao Du ◽  
Yuemin Yao
Keyword(s):  
Lyapunov Stability ◽  
Disturbance Rejection ◽  
Rejection Rate ◽  
Guidance System ◽  
Time Varying ◽  
Proportional Navigation ◽  
Mathematical Simulations ◽  
Guidance Systems ◽  
The Stability ◽  
Proportional Navigation Guidance

This study analyzes the effects of disturbance rejection and radome error on the stability of guidance systems. First, disturbance rejection rate transfer function (DRRTF) models are established. Second, the Lyapunov stability of a proportional navigation guidance system is proposed. The passivity theorems are introduced for the analysis of the Lyapunov stability of the nonlinear time-varying system. Finally, the influence of the different DRRTF models on the stability of the guidance system is analyzed by mathematical simulations. The simulation results indicate that the stable boundary of the guidance system varies and its tolerance to disturbance differs significantly for various disturbance torque types and radome slope.

Co-operative 3D salvo attack of multiple missiles under switching topologies subject to time-varying communication delays

2019 ◽  
Vol 123 (1262) ◽  
pp. 464-483
Author(s):  
X.L. Ai ◽  
L.L. Wang ◽  
Y.C. Shen
Keyword(s):  
Initial Conditions ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Communication Delays ◽  
Proportional Navigation ◽  
Stationary Target ◽  
Switching Topologies ◽  
Guidance Law ◽  
Multiple Missiles ◽  
Proportional Navigation Guidance

ABSTRACTThis study focuses on the co-operative salvo attack problem of multiple missiles against a stationary target under jointly connected switching topologies subject to time-varying communication delays. By carefully exploring certain features of the typical pure proportional navigation guidance law, a two-stage distributed guidance scheme is proposed without any information on time-to-go in this study to realise the simultaneous attack of multiple missiles. In the first guidance stage, a co-operative guidance law is proposed using local neighbouring communications only to achieve consensus on range-to-go and heading error to provide favourable initial conditions for the latter phase, in which switching topologies and time-varying communication delays are taken into account when obtaining sufficient conditions of consensus in terms of linear matrix inequalities. Then, missiles disconnect from each other and are guided individually by the typical pure proportional navigation guidance law with the same navigation gain to realise salvo attack in the second guidance phase. Finally, numerical simulations are carried out to clearly validate the theoretical results.

scholarly journals Research on Photovoltaic Grid-Connected Control Strategy Based on Active Disturbance Rejection of Adaptive Extended State Observer

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Dejun Liu ◽  
Jinfei Xu ◽  
Ruonan Xue ◽  
Chao Song ◽  
Zhenxiong Zhou
Keyword(s):  
Output Power ◽  
Disturbance Rejection ◽  
State Observer ◽  
Extended State Observer ◽  
Time Varying ◽  
Extended State ◽  
Photovoltaic Panels ◽  
Active Disturbance Rejection ◽  
Bus Voltage ◽  
The Stability

In the photovoltaic inverter grid-connected power generation system, the output power of photovoltaic panels is affected by illumination and temperature. The change of output power of photovoltaic panels will lead to the fluctuation of DC bus voltage. If the control is improper, it will directly affect the regular operation of the system. In order to improve the performance of the grid-connected inverter system, an active disturbance rejection control method based on adaptive extended state observer (ESO) is proposed. Firstly, a feedforward PI current inner loop controller is designed, which simplifies the structure of the control system and improves the tracking performance of the current. Then, the DC bus voltage outer loop ADRC is designed, and a conversion method that ignores the essential difference between nonlinear/time-varying and time-varying/linear is proposed. Through the conversion of time-invariant nonlinear system and time-varying linear system, the stability of the extended state observer is proved by the Routh criterion. Secondly, to solve the problem of mutual restriction between the stability and observation accuracy of the extended state observer, an adaptive function online automatic tuning ESO parameter method is proposed. Finally, the simulation results show that the proposed method has better dynamic and static performance, and the grid-connected voltage and current harmonics are small, which proves the correctness and effectiveness of the proposed method.

scholarly journals Time-varying Proportional Navigation Guidance using Deep Reinforcement Learning

2020 ◽  
Vol 23 (4) ◽  
pp. 399-406
Author(s):  
Hyeok-Joo Chae ◽  
Daniel Lee ◽  
Su-Jeong Park ◽  
Han-Lim Choi ◽  
Han-Sol Park ◽  
...  
Keyword(s):  
Reinforcement Learning ◽  
Time Varying ◽  
Proportional Navigation ◽  
Proportional Navigation Guidance

Interactive Multiple Model Filter for Tracking a Pursuer With Proportional Navigation Guidance Law

2018 ◽  
Vol 140 (8) ◽  
Author(s):  
Runle Du ◽  
Xinguang Zou ◽  
Di Zhou ◽  
Jiaqi Liu
Keyword(s):  
Relative Velocity ◽  
Accurate Estimation ◽  
Time Varying ◽  
Multiple Model ◽  
Motion Model ◽  
Proportional Navigation ◽  
Guidance Law ◽  
Model Filter ◽  
Interactive Multiple Model ◽  
Proportional Navigation Guidance

This paper addresses a pursuer tracking problem where the pursuer's acceleration is given by a proportional navigation (PN) guidance law with a time-varying navigation ratio which varies with the relative range between the pursuer and its target. Based on a motion model that exactly describes the relative motion and the PN guidance law, a novel filter for tracking such a pursuer is designed using interactive multiple model (IMM) algorithm and unscented Kalman filtering (UKF) technique. This filter is able to accurately estimate the relative range, relative velocity, and the acceleration of pursuer even if the pursuer adopts a PN guidance law with time-varying navigation ratio. The proposed tracking method is evaluated in extensive Monte Carlo simulations. It is shown that accurate estimation results have been obtained, and the model probabilities in the IMM UKF filter are consistent with real situations.

scholarly journals Observability-enhanced proportional navigation guidance with bearings-only measurements

1999 ◽  
Vol 40 (4) ◽  
pp. 497-512 ◽  
Author(s):  
Mingyan Li ◽  
Cheng-Chew Lim
Keyword(s):  
Closed Form ◽  
Navigation System ◽  
Low Cost ◽  
Guidance System ◽  
Control Law ◽  
Proportional Navigation ◽  
Closed Form Solutions ◽  
Homing Missiles ◽  
Proportional Navigation Guidance

AbstractWe analyse the performance of the additive observable proportional navigation guidance system, which is well-suited for low-cost homing missiles with bearings-only measurements. Closed-form solutions are derived for both manoeuvring and non-manoeuvring targets. Guidelines on how to select the navigation constants of the control law are presented. We show that the additive observable proportional navigation guidance system can cover a larger capture area than can a conventional proportional navigation system.

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