Abstract
This study proposes a Multi-objective (MO) guidance law simultaneously for optimal H_2 missile interception with stochastic continuous Wiener noise and discontinuous Poisson jump noise as well as optimal H_∞ external disturbance filtering of external disturbance on missile guidance. The first design objective of optimal H_2 missile interception is to minimize the effect of intrinsic stochastic Wiener noise due to modeling uncertainty of the missile and the accumulated angle error of the gyroscope as well as the intrinsic stochastic Poisson jump noise due to the inaccurate radar measurement of the missile because of the target suddenly side-step maneuver. The second design objective of H_∞ external disturbance filtering is to minimize the effect of external disturbance due to the target’s acceleration on the missile guidance. An indirect method is proposed to solve the MO H_2/H_∞ guidance problem of missiles. In order to avoid solving a Hamilton-Jacobin inequality (HJI)-constrained MO H_2/H_∞ missile guidance problem based on Pareto optimal solution, fuzzy interpolation method is proposed to transform the HJI-constrained MO missile guidance problem to a linear matrix inequalities (LMIs)-constrained MO missile guidance problem. An LMIs-based MO Evolutionary Algorithm (MOEA) is also proposed to solve the MO H_2/H_∞ missile guidance problem. Finally, a simulation example is conducted to illustrate the design procedure and to validate the performance of the proposed MO H_2/H_∞ guidance law.