Computational Issues in Sparse and Dense Formulations of Integrated Guidance and Control with Constraints

GPU-Accelerated PD-IPM for Real-Time Model Predictive Control in Integrated Missile Guidance and Control Systems

“…σ max , the constraints can be expressed as follows: The main objective of terminal homing is actuating the missile to intercept the target under the finite maneuver capacity and seeker look-angle limit. In addition, based on the previous study [13], the look-angle rate is limited in bound to prevent image distortion and signal intensity reduction problems. With the acceleration limit 𝑎 , look-angle limit 𝜎 , and look-angle rate limit 𝜎 , the constraints can be expressed as follows:…”

“…Considering the missile short-period dynamics, kinematics, and actuator dynamics, augmented continuous equations for IGC are given by [9,12,13]…”

“…Of many optimization-based methods, the Model Predictive Control (MPC) technique has been thought to be a powerful solution for IGC [10][11][12][13][14][15]. Compared to the other control techniques utilized in the previous research [2][3][4][5][6][7][8][9], online MPC provides the optimal solution within certain state constraints.…”

“…As mentioned above, control input 𝑢 should be generated within the extent that it does not violate the restrictions. Inequality constraints defined in Equation ( 1) are linearized and expressed in matrix form [12,13]. As shown below, linearized matrix 𝐶 is timevarying.…”