Synchronization control of cross-strict feedback hyperchaotic system based on cross active backstepping design

Jing, Wang; Gao, Jinfeng; Ma, Xikui

doi:10.1016/j.physleta.2007.05.038

Cited by 22 publications

(13 citation statements)

References 24 publications

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“…This kind of system is called cross-strict feedback system [12]. Since each subsystem of this hyperchaotic system is of strict feedback form, backstepping technique can be applied to each subsystem.…”

Section: System Descriptionmentioning

confidence: 99%

“…Instead of using four control inputs as in [12], only 2 control inputs are used to achieve synchronization control of cross-strict feedback hyperchaotic systems, which is more difficult than the case using four control inputs. Now we are ready to give the design steps.…”

Section: Synchronization Of Two Identical Cross-strict Feedback Hypermentioning

confidence: 99%

“…Boccaletti et al [6] gave a general review of major ideas involved in the field of synchronization of chaotic systems, and discussed in detail several types of synchronization features. Different synchronization control methods, such as linear and nonlinear feedback control [7,8], adaptive control [9][10][11], backstepping [12][13][14][15][16][17], time-delay feedback control [18], LMI technique [19], and sliding mode control methods [20][21][22][23][24][25][26], and so on have been successfully applied to the chaos synchronization.…”

Section: Introductionmentioning

confidence: 99%

“…However, the ordinary backstepping technique can be used only to control strict feedback systems, which severely restricts its application in synchronization control of chaotic systems. Wang et al [12] presented a cross active backstepping control method for a class of systems called cross-strict feedback system without unknown parameters, which combined backstepping design and active control approach using n control inputs, to extend the application area of backstepping technique, but it cannot be applied to the systems if the number of the control inputs is less than n.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties

2011

Communications in Nonlinear Science and Numerical Simulation

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Section: System Descriptionmentioning

confidence: 99%

Section: Synchronization Of Two Identical Cross-strict Feedback Hypermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties

2011

Communications in Nonlinear Science and Numerical Simulation

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“…Hence how to realize synchronization of hyperchaotic systems is an interesting and challenging work. To our knowledge, some existing methods of synchronizing low-dimensional chaotic systems like adaptive control, active control, active backstepping control and sliding mode control methods are employed to synchronize hyperchaotic systems [24][25][26]. In practical situations, some or all of the parameters may be unknown and change in time, which will destroy the synchronization and even break it.…”

Section: Introductionmentioning

confidence: 99%

Generalized projective lag synchronization between different hyperchaotic systems with uncertain parameters

2010

Nonlinear Dyn

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Generalized projective lag synchronization (GPLS) is characterized by the output of the drive system proportionally lagging behind the output of the response system. In this paper, GPLS between different hyperchaotic systems with uncertain parameters, i.e., GPLS between Lorenz and Lü hyperchaotic systems, and between Lorenz-Stenflo and Lorenz hyperchaotic systems, is studied by applying an adaptive control method. Based on Lyapunov stability theory, the adaptive controllers and corresponding parameter update rules are constructed to make the states of two diverse hyperchaotic systems asymptotically synchronize up to the desired scaling matrix and to estimate the uncertain parameters. Some numerical simulations are provided to show the effectiveness of our results.

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Adaptive cross backstepping control for a class of nonstrict feedback nonlinear systems with partial state constraints

Wang

Qilu

YuXiao

et al. 2021

Adaptive Control & Signal

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The tracking control problem for a class of partial state constrained nonlinear system is studied in this article. The system is divided into two semistrict feedback nonlinear subsystems, one is state constrained and the other is state free. By means of state transformation, the state constraint problem is transformed into the bounded problem of the transformed function. Compared with the barrier Lyapunov function (BLF) method, it not only solves the state constraint problem but also circumvents the feasibility check on virtual controllers. Based on the cross backstepping control, the constrained controller and unconstrained controller are designed simultaneously. It solves the coupling problem effectively in the design of cross processing control. On the other hand, dynamic surface control is used which effectively avoids “computation explosion” caused by backstepping control. The designed controllers can ensure the error signals converge to a small neighbourhood of zero and keep the asymmetric time‐varying constraints on system partial states are satisfied for all the time. Finally, simulation experiments are carried out on a hyperchaotic Rössler system to verify the efficacy of the control scheme.

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Synchronization control of cross-strict feedback hyperchaotic system based on cross active backstepping design

Cited by 22 publications

References 24 publications

Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties

Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties

Generalized projective lag synchronization between different hyperchaotic systems with uncertain parameters

Adaptive cross backstepping control for a class of nonstrict feedback nonlinear systems with partial state constraints

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