Cooperative Salvo Attack Using Guidance Law of Multiple Missiles

Author(s):  
Jie Zeng ◽  
◽  
Lihua Dou ◽  
Bin Xin

In this article, a guidance problem for cooperative salvo attack of multiple missiles against a single stationary target is investigated. The proposed guidance law combines the well-known PNG law and cooperative acceleration command, which is based on the feedback of state error between the current missile and the mean value of participant missiles. The state variable in this paper is used as the approximate calculation of time-to-go. The cooperative acceleration command is designed to adjust the flight path and impact time, which leads the multi-missiles to hit the common target simultaneously. During the engagement, the velocities of missiles are not changed and presetting impact time is not needed. Simulation results show the effectiveness of the proposed guidance law.

Author(s):  
Jun-Yong Lee ◽  
Hyeong-Guen Kim ◽  
H Jin Kim

This article proposes an impact-time-control guidance law that can keep a non-maneuvering moving target in the seeker’s field of view (FOV). For a moving target, the missile calculates a predicted intercept point (PIP), designates the PIP as a new virtual stationary target, and flies to the PIP at the desired impact time. The main contribution of the article is that the guidance law is designed to always lock onto the moving target by adjusting the guidance gain. The guidance law for the purpose is based on the backstepping control technique and designed to regulate the defined impact time error. In this procedure, the desired look angle, which is a virtual control, is designed not to violate the FOV limit, and the actual look angle of the missile is kept within the FOV by tracking the desired look angle. To validate the performance of the guidance law, numerical simulation is conducted with different impact times. The result shows that the proposed guidance law intercepts the moving target at the desired impact time maintaining the target lock-on condition.


2019 ◽  
Vol 123 (1262) ◽  
pp. 464-483
Author(s):  
X.L. Ai ◽  
L.L. Wang ◽  
Y.C. Shen

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.


2018 ◽  
Vol 91 (1) ◽  
pp. 20-29 ◽  
Author(s):  
Jian Hu ◽  
Naigang Cui ◽  
Yuliang Bai ◽  
Yunhai Geng

Purpose The purpose of this paper is to present a novel guidance law that is able to control the impact time while the seeker’s field of view (FOV) is constrained. Design/methodology/approach The new guidance law is derived from the framework of Lyapunov stability theory to ensure interception at the desired impact time. A time-varying guidance gain scheme is proposed based on the analysis of the convergence time of impact time error, where finite-time stability theory is used. The circular trajectory assumption is adopted for the derivation of accurate analytical estimation of time-to-go. The seeker’s FOV constraint, along with missile acceleration constraint, is considered during guidance law design, and a switching strategy to satisfy it is designed. Findings The proposed guidance law can drive missile to intercept stationary target at the desired impact time, as well as satisfies seeker’s FOV and missile acceleration constraints during engagement. Simulation results show that the proposed guidance law could provide robustness against different engagement scenarios and autopilot lag. Practical implications The presented guidance law lays a foundation for using cooperative strategies, such as simultaneous attack. Originality/value This paper presents further study on the impact time control problem considering the seeker’s FOV constraint, which conforms better to reality.


Blood ◽  
2016 ◽  
Vol 128 (22) ◽  
pp. 5144-5144 ◽  
Author(s):  
Yulia Chernykh ◽  
Anatoly Golenkov ◽  
Lyudmila Vysotskaya ◽  
Sain Shushanov ◽  
Ekaterina Rybalkina

Abstract Multidrug resistance (MDR) is the biological phenomenon, significantly reduces the survival of patients with multiple myeloma (MM) to the conventional chemotherapy. Overexpression of MDR gene (MDR1, MRP1, LRP, BCRP) by plasma cells may be clinically manifest of disease progression during therapy. Proteasome inhibitor Bortezomib for the treatment of MM in clinical practice has greatly improved the survival of patients with this malignant disease, but at the same time, there is a group of patients resistant to the treatment with Bortezomib. The common (total, summary) effect of the expression of 4 MDR genes on the development of drug resistance to the treatment of Bortezomib have not been studied earlier. Aim. Determination of the expression of mRNA genes MDR1, MRP1, LRP, BCRP, responsible for the development of MDR in bone marrow aspirates in patients with newly diagnosed MM before the Bortezomib-containing therapy on the clinical course of the disease and response to the treatment. Materials and methods. Was investigated a group of 15 patients with newly diagnosed stage III MM classification Durie-Salmon before the start of cytostatic therapy. The expression of MDR genes was studied in bone marrow mononuclear cells fraction containing plasma cells, by RT-PCR (polymerase chain reaction reverse transcription). The degree of expression was assessed by semi-quantitative visual assessment from 0 (no electrophoretic strips) to 4 points (bright glow of the transcript). Results. The expression of MDR gene was found in all patients with newly diagnosed MM before the start of cytostatic therapy: MDR 1 gene is expressed in 14 patients (93%), genes MRP 1 and LRP were detected in 11 patients (73%), the expression of BCRP gene was found in 15 patients (100%). The mean value of expression of MRP 1 and BCRP genes according to visual assessment was 1. The mean value of gene expression MDR 1 (M ± SE) is 1.5 ± 0.27 points and LRP gene is 1.47 ± 0.14 points. The common (summary) mean expression of 4 genes was 5.0 ± 0.76 points. According to the expression level - above or below the mean value, we have identified two subgroups of the patients: subgroup A - Patients with higher overall expression of 4 genes and subgroup B - Patients with lower overall MDR genes expression. In these subgroups was analyzed the clinical parameters of disease at the moment of diagnosis, such as the level of hemoglobin, red blood cells, paraprotein, creatinine, calcium, LDH and the effectiveness of the 6 courses of induction therapy with Bortezomib- containing treatment. No significant differences in clinical scores in the subgroups A and B were not found. After induction treatment, in the subgroup A with higher overall MDR genes expression is not detected significant reduction in the absolute value of paraprotein (32,0 ± 3,7 g / l before the treatment, and 19.34 ± 6.47 g /l after the treatment). Whereas, in the subgroup B with lower overall expression, in the same conditions of the treatment, registered a significant reduction of paraprotein value (41,9 ± 5,0 g /l before the treatment, and 14.85 ± 6.53 g / l after the treatment p <0.05). Conclusion. We the first time identified the group of patients with newly diagnosed MM associated with high common expression of MDR genes before to the cytostatic treatment. The common overexpression of 4 MDR genes not associated with such clinical parameters of the disease as the level of hemoglobin, red blood cells, paraprotein, creatinine, calcium, LDH, but it decreases the immediate response to the Bortezomib-containing induction treatment. Disclosures No relevant conflicts of interest to declare.


Author(s):  
Chunyan Zhang ◽  
Jianmei Song ◽  
Lan Huang ◽  
Gaohua Cai

The cooperative attack problem of multiple missiles considering the randomness of the unreliable communication network is investigated. Firstly, the stochastic communication network is described by a Bernoulli random model. And the cooperative guidance law with unreliable communication network is proposed, which is composed of the upper consensus algorithm of desired impact time and the local proportional navigation with time-varying navigation gain. Each node of the upper cooperative system uses different update gain to adjust the desired impact time to improve the cooperative performance. Secondly, the mean square stability of the upper cooperative system is analyzed and proved. The explicit necessary and sufficient conditions of the mean square stability are presented for the two-missile cooperative attack system. And the analytic expression of the mean of the cooperative impact time is derived since it influences the attack precision directly and significantly. Thirdly, the effectiveness of the proposed cooperative guidance law with unreliable communication network is verified by simulation. And the influence of the update gain, the communication step, and the mean of link probability on the cooperative attack precision is analyzed.


1979 ◽  
Vol 57 (5) ◽  
pp. 524-528 ◽  
Author(s):  
James L. Barnhart ◽  
Burton Combes

The apparent volume of the biliary tree (ABV) in the dog was determined by measuring the mean biliary transit time of injected [14C]taurocholate ([14C]TC). After bolus injection of [14C]TC, entry of bile salt into the lumen of the biliary tree is signaled by an increase in bile flow. The volume of bile collected at the common duct from onset of choleresis until maximal concentration of 14C radioactivity is reached in bile minus the calculated quantity of bile that contains radioactivity and the cannula volume yields a value for the volume of the biliary tree present just prior to injection of [14C]TC. The mean value for ABV in 19 dogs was 2.49 ± 0.65 μL/g liver (mean ± SD).


1935 ◽  
Vol 12 (1) ◽  
pp. 27-35 ◽  
Author(s):  
ERNEST BALDWIN

1. Experiments have been made upon the oxygen consumption, CO2 content, and respiratory quotient of the eggs of Limnaea stagnalis, the common pond snail. 2. Throughout the period of development, during which accurate determinations are possible, the mean value of the R.Q. was 1.05. The significance of the observations is discussed in the text, the main conclusion being that fat is synthesised in the course of development. This was confirmed by extraction of the ether-soluble substances. 3. Preliminary experiments upon the nitrogenous metabolism show that uric acid is synthesised by the embryo during the latter part of development, but suggest that protein does not constitute the source of the synthetic fat.


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