Tuning of a Linear-Quadratic Stabilization System for an Anti-Aircraft Missile

Bużantowicz, Witold

doi:10.3390/aerospace8020048

Cited by 11 publications

(10 citation statements)

References 47 publications

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“…Hence, the total number of received signals is equal to the product of MN. The matrix of received data can be represented as [1][2][3][4]:…”

Section: Signal Modelmentioning

confidence: 99%

“…The STAP processor is a linear filter, so ultimately, the STAP processor is designed to remove noise and detect the target. The relationship describing these activities is given as [1][2][3][4]:…”

Section: Signal Modelmentioning

confidence: 99%

“…It is also a device capable of measuring the speed and direction of a target, carrying out identification, or creating an image of the earth's surface. For this reason, the development of new algorithms related to radar signal processing technology is required [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

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A New Statistical Method for Determining the Clutter Covariance Matrix in Spatial–Temporal Adaptive Processing of a Radar Signal

Kawalec

Ślesicka

ŚLESICKI

2023

Sensors

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In this article, a new statistical method for estimating the clutter covariance matrix in space–time adaptive radar signal processing (STAP) is presented and studied. The new method was designed for multiple-input–multiple-output (MIMO) radar with time division multiplexing (TDM). An extensive analysis of statistical and non-statistical methods for estimating the clutter covariance matrix in STAP is presented in this paper. In addition, the STAP algorithm for the standard statistical SMI clutter covariance matrix estimation method, which is based on QR distribution, has been presented. The new method is based on LU distribution with partial pivoting. Simulation results confirm the validity of the presented model and theoretical assumptions. In addition, more accurate object detection results were demonstrated for specific computational examples than for other statistical methods. Considering the current analysis of the literature, it is noted that attention has now been focused worldwide on the study of non-statistical methods for estimating clutter covariance matrices in heterogeneous environments. Hence, it should be emphasized that the posted study fills a gap in current research on STAP.

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“…Hence, the total number of received signals is equal to the product of MN. The matrix of received data can be represented as [1][2][3][4]:…”

Section: Signal Modelmentioning

confidence: 99%

Section: Signal Modelmentioning

confidence: 99%

See 1 more Smart Citation

A New Statistical Method for Determining the Clutter Covariance Matrix in Spatial–Temporal Adaptive Processing of a Radar Signal

Kawalec

Ślesicka

ŚLESICKI

2023

Sensors

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“…In these references, although the improved AGD-distributed multi-intelligence system solves the problem of weapon distribution in air defense operations, the timeliness of air defense is not studied. Researchers [16][17][18][19][20] also paid attention to the combination of AI techniques and military missions, and some AI methods are developed for anti-missile, anti-ship, anti-aircraft missions. The researchers pointed out that AI techniques are key to future war and need much more attention.…”

Section: Introductionmentioning

confidence: 99%

Air Defense Interception Plan Generation Method Based on Modified A* Optimization Algorithm

Song

Feng

et al. 2023

Electronics

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Aiming at the air defense task requirements for an enemy’s large-scale aircraft attack, this paper presents a plan generation algorithm which can quickly give an interception scheme. The main contribution of this paper is the modification of the standard A* algorithm and its combination of the optimization algorithm and air-defence mission. Firstly, the enemy’s attack weapon and our defense platform are modeled, and kinetic equations and interception efficiency functions are constructed, and the intercepted criterions are established. Then, the interception-cost mixed optimal function is established to clarify the system optimization objective. Secondly, aiming at the characteristics of strong time sensitivity of air defense interception, a modified A* optimization algorithm with fast convergence characteristics is used to solve the optimization problems, the standard A* algorithm is modified and the optimal air defense interception plan under the condition of mixed performance index is given. Finally, the proposed method is verified by numerical simulations.

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“…Different variations (modifications) of LQR control have been used over the past decades, namely, hybrid LQR [5,6], fuzzy LQR [7,8] and switched LQR [9,10]. The author of [11] presented a description of the use of a linear-quadratic regulator (LQR) for stabilizing the characteristics of an anti-aircraft missile and proposed an analytical method for selecting the weighting elements of the gain matrix in the feedback loop. A novel LQR tuning method using a single V parameter was proposed and tested.…”

Section: Introductionmentioning

confidence: 99%

Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust

et al. 2022

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This article approaches the issue of the optimal control of a hypothetical anti-tank guided missile (ATGM) with an innovative rocket engine thrust vectorization system. This is a highly non-linear dynamic system; therefore, the linearization of such a mathematical model requires numerous simplifications. For this reason, the application of a classic linear-quadratic regulator (LQR) for controlling such a flying object introduces significant errors, and such a model would diverge significantly from the actual object. This research paper proposes a modified linear-quadratic regulator, which analyzes state and control matrices in flight. The state matrix is replaced by a Jacobian determinant. The ATGM autopilot, through the LQR method, determines the signals that control the control surface deflection angles and the thrust vector via calculated Jacobians. This article supplements and develops the topics addressed in the authors’ previous work. Its added value includes the introduction of control in the flight direction channel and the decimation of the integration step, aimed at speeding up the computational processes of the second control loop, which is the LQR based on a linearized model.

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Tuning of a Linear-Quadratic Stabilization System for an Anti-Aircraft Missile

Cited by 11 publications

References 47 publications

A New Statistical Method for Determining the Clutter Covariance Matrix in Spatial–Temporal Adaptive Processing of a Radar Signal

A New Statistical Method for Determining the Clutter Covariance Matrix in Spatial–Temporal Adaptive Processing of a Radar Signal

Air Defense Interception Plan Generation Method Based on Modified A* Optimization Algorithm

Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust

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