Three-dimensional Integral Second-order Sliding Mode Interception Guidance Law with Impact Angle Constraints
Aiming at the problem that missiles intercept a maneuvering target with unknown acceleration information,a three-dimensional interception guidance law with impact angle constraints is proposed.Firstly,a three-dimensional nonlinear interception guidance model is investigated.Second,a global integral sliding mode surface is designed,which omits the reaching phase in the traditional sliding mode guidance laws and effectively reduces energy consumption in the interception guidance process.Then,based on the designed integral sliding mode surface and second-order sliding mode control theory,a three-dimensional integral second-order sliding mode interception guidance law with impact angle constraints is designed in the normal and lateral directions to the line of sight(LOS),effectively suppressing the chattering phenomenon and compensating for unknown disturbances caused by target maneuvering online.In addition,the strict mathematical proof of Lyapunov stability is made for the designed guidance law.Finally,the numerical simulation results validate the effectiveness,superiority,and anti-interference robustness of the proposed three-dimensional interception guidance law.
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