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Third-order strict-feedback chaotic proportion projection synchronization method based on improved pole assignment

A pole configuration and projection technology, which is applied to instruments, adaptive control, control/regulation systems, etc., can solve the problems of modeling uncertainty, inability to proportional projection synchronization control of the pole configuration method, etc., and achieve the effect of good robustness.

Active Publication Date: 2019-01-04
NORTHEASTERN UNIV
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  • Abstract
  • Description
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  • Application Information

AI Technical Summary

Problems solved by technology

In the actual chaotic system, there will be modeling uncertainty and external interference signals, and the pole configuration method cannot be used for proportional projection synchronization control

Method used

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  • Third-order strict-feedback chaotic proportion projection synchronization method based on improved pole assignment
  • Third-order strict-feedback chaotic proportion projection synchronization method based on improved pole assignment
  • Third-order strict-feedback chaotic proportion projection synchronization method based on improved pole assignment

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specific Embodiment 1

[0052] The drive system and the response system are isomorphic systems, both of which are Genesio-Tesi chaotic systems. The state equation of the Genesio-Tesi system is:

[0053]

[0054] Among them, f 1 (x)=x 1 2 , when the parameter a 1 =-1, a 2 =-1.1, a 3 When =-0.45, the Genesio-Tesi system will appear chaotic phenomenon. Equation (13) is the driving system. The initial state of the drive system is set to x 1 (0)=0.4,x 2 (0)=0.3,x 3 (0)=-0.4.

[0055] The response system is also a Genesio-Tesi chaotic system, and the controlled response system with modeling uncertainties and external disturbance signals is expressed as:

[0056]

[0057] where f 2 (y)=y 1 2 , b 1 =-1,b 2 =-1.1,b 3 =-0.45, u is the control input, modeling uncertainty is set to △f 2 (y)=0.3sin(0.2y 1 +y 2 ), then d 1 =0.3, the external interference signal is set as d(t)=0.2cos(2t), then d 2 = 0.2. A controlled response system (14) with modeled uncertain and external disturbance s...

specific Embodiment 2

[0069] The drive system and response system are heterogeneous systems, the drive system is Genesio-Tesi chaotic system, and the response system is Coullet chaotic system. The state equation of Genesio-Tesi system adopts formula (13):

[0070]

[0071] Among them, f 1 (x)=x 1 2 , when the parameter a 1 =-1, a 2 =-1.1, a 3 When =-0.45, the Genesio-Tesi system will appear chaotic phenomenon. Equation (13) is the driving system. The initial state of the drive system is set to x 1 (0)=0.5,x 2 (0)=0.2,x 3 (0)=-0.4.

[0072] The response system is a Coullet chaotic system, and the controlled response system with modeling uncertainties and external disturbance signals is expressed as:

[0073]

[0074] where f 2 (y)=-y 1 3 , b 1 =0.8,b 2 =-1.1,b 3 =-0.45, u is the control input, modeling uncertainty is set to △f 2 (y)=0.2sin(y 1 +2y 2 ), then d 1 =0.2, the external interference signal is set as d(t)=0.3sin(3t), then d 2 = 0.3. A controlled response system ...

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Abstract

The present invention provides a third-order strict-feedback chaotic proportion projection synchronization method based on improved pole assignment. The method comprises the steps of: establishing a proportion projection synchronization error system according to a state equation of an isomorphic or isomerous third-order strict-feedback chaotic system; designing a linear sliding mode surface and animproved rapid power reaching law; combining a pole assignment method and a sliding-mode control method, designing a single sliding-mode controller to perform balance control of the proportion projection synchronization error system to form a closed-loop system, wherein the closed-loop system can achieve the proportion projection synchronization control of a drive system and a response system. Inorder to weaken the buffeting influence, a hyperbolic tangent function is employed to replace the symbolic function. In a condition of the modeling indeterminacy and external interference signals, the single sliding-mode controller is employed to achieve proportion projection synchronization control of the isomorphic or isomerous third-order strict-feedback chaos in different initial states. Theexperiment simulation result shows the effectiveness of the method, the speed of the proportion projection synchronization is fast, and the robustness is good.

Description

technical field [0001] The invention belongs to the technical field of automatic control, and in particular relates to a third-order strict feedback chaos proportional projection synchronization method based on improved pole configuration. Background technique [0002] Chaos is the link connecting deterministic motion and random motion, and it exists widely in nature and human society. In 1990, Pecora and Carroll proposed the chaotic synchronization based on the drive-response method for the first time. Since then, the chaotic synchronization has been widely studied. In 1996, Mainieri and Rehacek observed a new synchronization phenomenon when studying partially linear chaotic systems: projection synchronization. When the drive system and the response system realize the projection synchronization, the phase of the state variable is locked, and the amplitude evolves according to a certain proportional relationship. Projection synchronization has many advantages in chaotic se...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 赵海滨刘冲陆志国于清文颜世玉
Owner NORTHEASTERN UNIV
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