Robust adaptive fault-tolerant control system for non-affine nonlinear flight control system
A non-affine nonlinear, robust adaptive technology, applied in the field of flight control systems, can solve the problem of few research results on fault-tolerant control of non-affine nonlinear systems
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[0096] 1. Problem description:
[0097] Consider the following non-affine nonlinear system:
[0098]
[0099] where: x∈R r is the state vector, u∈R n is the input vector, d∈R r is an unknown and bounded external disturbance vector, and f(.) is a nonlinear function. In this invention, the failure of the actuator is taken as the research situation. Without considering the dynamics of the actuator, the actuator failure of each input channel can be obtained from the previous chapters The latter fault model can be expressed as:
[0100]
[0101] where σ i is an unknown failure factor, The known failure factor σ defined by i The maximum and minimum values of σ i = 1 means no fault occurs, so the control input has actuator failure fault can be expressed as:
[0102] u(t)=[u 1 (t), u 2 (t),...,u n (t)] T =Σu c (t) (5.3)
[0103] where Σ=diag(σ 1 ,…,σ n ), so the non-affine nonlinear system (5.1) under fault can be expressed as:
[0104]
[0105] Equation (...
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