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Modified linear-quadratic regulator used for controlling anti-tank guided missile in vertical plane

Nocoń Łukasz, Koruba Zbigniew

Journal of Theoretical and Applied Mechanics

2020

Vol. 58 nr 3

723--732

The paper concerns the issue of optimum control of the strongly non-linear dynamic system, i.e. Anti-Tank Guided Missile (ATGM). The linear-quadratic regulator (LQR) was used to provide control capabilities. In order to use the classic LQR, the dynamics of the object must be presented in the form of a linear-stationary model. This is not possible in the case of the considered missile, mostly due to mass changing in time (intensive consumption of fuel) and varying aerodynamic conditions depending on the Mach number Ma. Thus, we are dealing with a non-stationary system. Moreover, state variables are frequently involved in complex functions, which do not allow one to separate coefficients related to state variables very easily. In order to linearize such a complex system, the paper uses Jacobian, as the matrix of state, calculated at each time instant. The automatic pilot of the ATGM, using the LQR method, determines the signals controlling the angles of flight control surfaces and the thrust vector using continuously calculated Jacobians. The paper presents the algorithm for the ATGM control.

Numerical analysis of dynamics of an automatically tracked anti-tank guided missile using polynomial functions

Koruba Z., Nocoń Ł.

Journal of Theoretical and Applied Mechanics

2016

Vol. 54 nr 1

13--25

The paper presents algorithms of automatic control of an intelligent anti-tank guided missile (ATGM) with possibility of attacking the target from the upper ceiling and with possibility of the missile flight through indicated points in space. The polynomial functions are used to designate the program trajectories. Numerical analysis of the operation of chosen algorithms is performed. The results are presented in a graphical form. As it results from the conducted tests, the proposed algorithms of automatic control of ATGM with the use of polynomial functions work properly during attack on the target from the upper ceiling, for both mobile and immobile targets.