Robust Guidance Law with L2 Gain Performance.

Abstract

The guidance law design problem is formulated as a disturbance attenuation L 2 gain control problem where target accelerations are regarded as unpredictable disturbances that are completely unknown, but bounded and guidance parameter errors are viewed as bounded control system parameter uncertainties. By using a Lyapunov-like approach to find the feedback control, a guidance law satisfying the L 2 gain performance is derived from a linear time-varying mathematical model that describes the missile-target engagement. During the derivation of the guidance law, its robust stability is proved. Simulation results show that the presented guidance law provides strong robustness properties against heading error, guidance parameter errors, and target maneuvers; thus they obtain excellent miss-distance performance over the conventional realistic true proportional navigation guidance law.

Design of three-dimensional nonlinear guidance law with bounded acceleration command

“…Nevertheless, it needs accurate target acceleration information which is often unknown or poorly estimated in practical applications. To deal with highly maneuvering and agile targets in the absence of its acceleration, some new guidance laws based on nonlinear control method and robust control method have been proposed, such as Lyapunov-based nonlinear guidance laws [20,12,26], nonlinear geometric guidance laws [1,27], differential game guidance laws [19,29], nonlinear H ∞ guidance laws [24,25], L 2 gain guidance law [31], and sliding-mode guidance laws * Corresponding author. Tel.…”

Homogenous Observer-Based Second-Order Sliding Mode Guidance Law

“…59, No. 2,2016 The response curves of the LOS angular rate under this condition are presented in Figs. 13 and 14.…”

“…1,2) To obtain a small miss-distance, some elegant advanced guidance laws have been formulated based on modern control theory. The most well-known extension of the PNG law is the augmented PNG (APNG) law, 1) which adds an augmentation term to counteract target maneuvers.…”

Continuous Robust Guidance Law for Intercepting Maneuvering Targets

“…Yang and Chen 4) regarded the guidance problem as solving a partial differential Hamilton-Jacobi inequality by considering target acceleration as unknown information. Using a Lyapunov-like method, Zhou et al 5) derived a robust L 2 gain performance index robust guidance law. With the aid of a random input description function, a novel estimation statistics-dependent guidance law with a bounded acceleration command was presented by Hexner et al 6) As an extension of Hexner et al, 6) a differential game-based guidance law with impact angle constraints was studied by Shaferman and Shima.…”