Fault-tolerant control method for complex nonlinear system under generalized noise
A nonlinear system, fault-tolerant control technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problem of poor fault estimation effect, adverse effects of fault-tolerant controller design, white noise processing technology is not suitable for engineering Background and other issues to achieve the effect of improving the effect of fault estimation and reducing the difficulty of design
Pending Publication Date: 2021-12-21
DALIAN MARITIME UNIVERSITY
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Problems solved by technology
The modeling method of this model is easy to implement, but it is difficult to solve the fault observer designed by matching the membership function, and the fault estimation effect is not good, which will have a negative impact on the subsequent fault-tolerant controller design
In addition, the object considered by the existing technologies of noise processing is generally white noise, but the noise contained in the actual engineering measurement is usually generalized noise
Therefore, the existing white noise processing technology is not suitable for practical engineering background
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[0093] The invention provides a fault-tolerant control method for complex nonlinear systems under generalized noise, including:
[0094] Step 1: Select the complex nonlinear system model as follows:
[0095]
[0096] Among them, M(x(t), u(t), f(t), d(t), τ) represents the nonlinear function, x(t) represents the variable of the nonlinear system and the initial value x(t 0 )=x 0 , u(t) is the controller input variable, y(t) is the system output signal, f(t) is the fault signal in the actuator, d(t) is the external disturbance signal, τ is the perturbation parameter, is a random process, satisfying the condition g(x) is The intensity matrix satisfies the Lipsitz continuity condition, and there is a constant L 1 and L 2 , making ||g(0)||1 ,||g(x 1 )-g(x 2 )||≤L 2 |x 1 -x 2 |.
[0097] Step 2: Using local nonlinear modeling technology, a type-I fuzzy model with a perturbation term l(x(t)) is obtained:
[0098]
[0099] y(t)=Cx(t)
[0100] Among them, x is the ...
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The invention provides a fault-tolerant control method for a complex nonlinear system under generalized noise, and the method comprises the steps: considering the generalized noise, and constructing a nonlinear system; based on a nonlinear system, obtaining a fuzzy model by adopting a stochastic differential equation and a local nonlinear modeling technology; designing a fuzzy fault observer based on the fuzzy model; establishing an estimation error system based on the fuzzy model and the fuzzy fault observer; in combination with a successive approximation method, proving that the estimation error system has and only has one solution, and solving a given performance index inequality by using an LMI toolbox to obtain a sufficient condition for existence of the observer; re-modeling a system by using a type-2 fuzzy modeling method, designing a fault-tolerant controller structure to obtain a closed-loop system, proving that the closed-loop system has and only has one solution in combination with a successive approximation method, and obtaining a sufficient condition for the existence of the controller according to a given performance index. The technical problems that an existing fault observer is large in solving difficulty, poor in fault estimation effect, single in noise processing type and the like are solved.
Description
technical field [0001] The invention relates to the technical field of fault-tolerant control, in particular to a fault-tolerant control method for complex nonlinear systems under generalized noise. Background technique [0002] At present, the existing technology generally adopts T-S fuzzy modeling technology to deal with complex nonlinear systems. In addition, for complex nonlinear systems with perturbation parameters, the traditional type II fuzzy modeling method is generally used in the observer design process, and the perturbation parameters are modeled into the membership function to design the membership degree of the observer and the observer structure. The modeling method of this model is easy to implement, but the fault observer designed by matching membership function is difficult to solve and the fault estimation effect is not good, which will have an adverse effect on the subsequent fault-tolerant controller design. In addition, the object considered in the pr...
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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 单麒赫杨锡明李铁山滕菲张裕欣毛宇豪
Owner DALIAN MARITIME UNIVERSITY