Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust
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 simplificat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/15/1/356 |
| _version_ | 1827668481778122752 |
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| author | Łukasz Nocoń Marta Grzyb Piotr Szmidt Zbigniew Koruba Łukasz Nowakowski |
| author_facet | Łukasz Nocoń Marta Grzyb Piotr Szmidt Zbigniew Koruba Łukasz Nowakowski |
| author_sort | Łukasz Nocoń |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T03:42:27Z |
| format | Article |
| id | doaj.art-5e4e97e87e9b41bf9e709df30a1584a3 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T03:42:27Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-5e4e97e87e9b41bf9e709df30a1584a32023-11-23T11:29:24ZengMDPI AGEnergies1996-10732022-01-0115135610.3390/en15010356Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine ThrustŁukasz Nocoń0Marta Grzyb1Piotr Szmidt2Zbigniew Koruba3Łukasz Nowakowski4Department of Applied Computer Science and Armament Engineering, Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce, PolandDepartment of Applied Computer Science and Armament Engineering, Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce, PolandDepartment of Applied Computer Science and Armament Engineering, Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce, PolandDepartment of Applied Computer Science and Armament Engineering, Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce, PolandDepartment of Mechanical Engineering and Metrology, Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce, PolandThis 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.https://www.mdpi.com/1996-1073/15/1/356anti-tank missilethrust vectoring controloptimal controllinear-quadratic regulatorcontrol actuation system |
| spellingShingle | Łukasz Nocoń Marta Grzyb Piotr Szmidt Zbigniew Koruba Łukasz Nowakowski Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust Energies anti-tank missile thrust vectoring control optimal control linear-quadratic regulator control actuation system |
| title | Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust |
| title_full | Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust |
| title_fullStr | Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust |
| title_full_unstemmed | Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust |
| title_short | Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust |
| title_sort | control analysis with modified lqr method of anti tank missile with vectorization of the rocket engine thrust |
| topic | anti-tank missile thrust vectoring control optimal control linear-quadratic regulator control actuation system |
| url | https://www.mdpi.com/1996-1073/15/1/356 |
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