Impact Angle Guidance Using Computationally Enhanced State-Dependent Differential Riccati-Equation Scheme

Abstract

This study considers the latest three-dimensional impact angle guidance based on the state-dependent differential Riccati-equation (SDDRE) scheme, and it presents novel theories that efficiently guarantee the SDDRE’s applicability and largely reduce the computational burden. The unified applicability analysis completely categorizes the state space in terms of a simple equivalent condition, where all the inapplicable cases (leading to implementation breakdowns) are newly discovered and efficiently resolved. The condition almost removes the tedious online checking routine, which accounts for the dominant effort as endorsed by complexity analysis and practical validations. Moving forward to a general scope, we analyze the computational complexity of such an SDDRE controller: first subject to the MATLAB® framework and then the state-of-the-art enhancements, where the latter come from the best performance among extensive trials. Finally, numerical and hardware experiments (notably, microcontroller and field-programmable gate array) strengthen the confidence in the analytical findings, and they enrich the value in robustness and generality that benefit more guidance or control systems.