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Motivated by a requirement for strict prioritization among the control directions, a recursive nullspace-based allocation design based on direct use of the generalized pseudoinverses and nullspace matrices is proposed.
The Nussbaum function is used to handle the unknown virtual control directions and the backstepping technique has been applied for controller design.
To solve the problem of unknown control directions, the Nussbaum gain function has been applied in the backstepping controller design.
Also the virtual control directions of the system are unknown.
The considered control systems contain unknown control directions and dead zones.
This paper deals with the cooperative control problem of high-order multi-agent systems with unknown control directions.
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Nussbaum function is used to deal with unknown control direction.
The Nussbaum function is used to relax the requirement on control direction.
And Nussbaum gain method is used to solve the uncertain control direction function.
But double control direction will caused a derivative of control problem, which is difficult to solve with traditional method.
The first stage is to reshape the original control for satisfying the constraint and preserving the original control direction.
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