Global robust sliding mode synchronization control method for uncertain time-varying delay chaotic system
A chaotic system and synchronous control technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of system oscillation and divergence, system performance not reaching the expected level, instability, etc., to improve safety , reducing the effect of conservatism
Inactive Publication Date: 2019-03-08
HARBIN UNIV OF SCI & TECH
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[0002] At present, the sliding mode variable structure control is to use the sliding mode controller to force the trajectory of the closed-loop system to reach the pre-selected sliding surface, and then the system trajectory remains on the sliding surface under the action of a discontinuous switching control law , and finally converge to the desired dynamics along the sliding mode surface, the global sliding mode control makes the system on the sliding mode surface from the beginning, eliminates the approaching mode, and is completely robust to matching disturbances; Determinism is ubiquitous in practical systems, making the performance of the system less than expected, and even causing the system to oscillate and become unstable. Therefore, the research on control methods for time-delay uncertain systems is particularly important. At present, the conventional chaos synchronization control The research on the method has been mature, but there are not many researches on the synchronous control method of the uncertain time-varying delay chaotic system
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[0109] A global robust sliding mode synchronization control method for an uncertain variable time-delay chaotic system described in the present invention is verified by an example for the improved Chua's chaotic circuit:
[0110] The state equation of the classical Chua circuit:
[0111]
[0112] Among them, f(x 1 ) = bx 1 +0.5(a-b)(|x 1 +1|-|x 1 -1|), a=-1.28, b=-0.69.
[0113] Taking the main chaotic system as an example, the above classic Chua's circuit is improved to obtain a chaotic system with uncertainty and time-varying delay. The main chaotic system is:
[0114]
[0115] in,
[0116]
[0117] and (s3=)0.3-0.2cos(2t).
[0118] Sliding mode surface coefficient selection:
[0119] ε=0.1, δ=0.03.
[0120] Bring the above parameters into Equation (20) to get the equation of the sliding mode surface, where the choice of the value of K is to consider configuring the eigenvalues of the closed-loop system matrix into a pair of conjugate eigenvalues ...
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The invention discloses a global robust sliding mode synchronization control method for an uncertain time-varying delay chaotic system. The method comprises the following steps that A, firstly, for two master-slave chaotic systems with uncertainties and time-varying delay, the chaotic system with the uncertainties and the time-varying delay is used as a master chaotic system, and another chaotic system with the uncertainties and the time-varying delay is used as a slave chaotic system; B, the master chaotic system in step A and the slave chaotic system are correspondingly subtracted, and an error system is obtained; C, an appropriate global robust sliding mode control surface is designed to make the error system reach a desired sliding mode state, a parameter adaptive law and a global sliding mode control law meet an error system arrival condition, and the sliding mode control of the whole process is achieved; D, finally the parameter adaptive law and the global robust sliding mode control law are added to a response system, a synchronization error is controlled to approach 0, and the global robust sliding mode synchronization control of the chaotic system with the uncertainties and the time-varying delay is achieved; a global robust sliding mode synchronization control method makes the master chaotic system and the slave chaotic system connect each other, reduces the conservativeness of the system, and improves the security of confidential communication.
Description
technical field [0001] The invention belongs to the field of signal processing and secure communication, in particular to a global robust sliding mode synchronous control method for an uncertain time-varying chaotic system. Background technique [0002] At present, the sliding mode variable structure control is to use the sliding mode controller to force the trajectory of the closed-loop system to reach the pre-selected sliding surface, and then the system trajectory remains on the sliding surface under the action of a discontinuous switching control law , and finally converge to the desired dynamics along the sliding mode surface, the global sliding mode control makes the system on the sliding mode surface from the beginning, eliminates the approaching mode, and is completely robust to matching disturbances; Determinism is ubiquitous in practical systems, making the performance of the system less than expected, and even causing the system to oscillate and become unstable. T...
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IPC IPC(8): G05B13/04
CPCG05B13/045
Inventor 高俊山张玉双徐海兵
Owner HARBIN UNIV OF SCI & TECH