Deviation separation-based state feedback linear control method
A linear control and state feedback technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve problems such as bounded uncertainties, complex control structures and algorithms, etc. Engineering Significant Effects
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[0025] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments, but not as a limitation of the present invention.
[0026] refer to figure 1 , the present invention is based on the state feedback linear control method of deviation separation, which mainly proceeds according to the following steps:
[0027] First, consider an uncertain nonlinear system:
[0028]
[0029] where x(t)∈R n ,u(t)∈R m (m≤n) and w(t)∈R p are the state variable, control input and external disturbance of the system respectively; assuming that x=0 is the equilibrium point of system (1), in actual engineering design, system (1) can be divided into two parts near x=0: using linear differential The main part of the equation description and the model deviation part, that is, the system (1) is rewritten as
[0030]
[0031] where A∈R n×n ,B∈R n×m is a known constant matrix, D(x,u,w)∈R n is the model deviation, which includes ...
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