Aircraft control allocation method based on direct allocation method and null space
A control distribution, zero-space technology, applied in the field of aircraft control, can solve the problems of torque reachable set control torque unreachable, limited use range, inability to correct pseudo-inverse solution, etc. degree of effect
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[0048] The technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings.
[0049] The structural block diagram of the redundant control system that the present invention aims at is as figure 1 As shown, the mathematical expression of the system is as follows:
[0050]
[0051] Where: x∈R n is the state variable of the aircraft; u∈R m is the deflection command of the control surface, and u∈Ω u ={u|u min ≤u≤u max}, u min and u max is the upper and lower bound of the control surface constraint; A∈R n×n is the system matrix; B∈R n x m is the control matrix of the system and column B is not in rank; C∈R k×n Output matrix for the system.
[0052] Due to the overdrive characteristics of the system, a virtual control command is introduced: v=B u u, where v∈R l Virtual instruction output for the controller; B u is the control efficiency matrix of the system. The above formula can be re-expressed as:
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