Linear pseudo-spectrum GNEM guidance and control method

Abstract

The invention discloses a linear pseudo-spectrum GNEM guidance and control method. According to the linear pseudo-spectrum GNEM guidance and control method, an original nonlinear optimal control problem is converted into a group of problems for solving a system of linear algebraic equations based on the concept of GNEM through linearization and Gauss pseudo-spectrum dispersion by combining nonlinear approximation model predictive control, linear quadratic optimal control and a Gauss pseudo-spectrum method. The linear pseudo-spectrum GNEM guidance and control method has the advantages that the calculation efficiency of solving the optimal control problem is quite high, and high calculation precision can be obtained just through several nodes; in addition, a final solution can be presented through a smooth function relevant to control over disperse nodes, and the method is quite suitable for online calculation. It is indicated through a simulation result that by applying the method to tail-section attack guidance with terminal angle constraint, compared with an MPSP method, the linear pseudo-spectrum GNEM guidance and control method has higher calculation efficiency and high calculation precision and can be completely applicable to a guidance framework for terminal guidance, and a smaller required overload command is generated compared with self-adaptive tail-section proportion guidance.

Description

technical field [0001] The invention belongs to the technical field of guidance and control of aircraft, and in particular relates to a guidance and control method for a linear pseudo-spectrum generalized standard control miss-target amount. Background technique [0002] The generalized standard control miss-target amount (GNEM) refers to the amount from t 0 At the beginning of time, the aircraft is controlled according to the standard u p fly at t f The deviation between the flight state of the aircraft and the given final state at time. The generalized standard control miss amount includes not only the miss amount in the traditional sense, but also the terminal collision angle deviation, and even the terminal collision velocity deviation. The acquisition of the off-target amount of generalized standard control can be based on the idea of ​​model predictive control, which is different from solving the optimal control problem offline (by directly solving the optimal contr...

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Problems solved by technology

[0004] The methods mentioned above are all based on rolling time-domain control. This control method can only solve a local optimal control problem in a short time domain

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