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Jianping Cai - One of the best experts on this subject based on the ideXlab platform.

  • PRACTICAL SYNCHRONIZATION OF NONAUTONOMOUS SYSTEMS WITH UNCERTAIN PARAMETER MISMATCH VIA A SINGLE STATE FEEDBACK CONTROL
    International Journal of Modern Physics C, 2012
    Co-Authors: Jin Zhou, Jianping Cai
    Abstract:

    Robust practical synchronization of general second-order nonautonomous systems with uncertain parameter mismatch is investigated by using a single state feedback control. Some simple general algebraic criteria are derived based on practical stability theory of nonautonomous dynamical system. A distinctive feature of this work is that the parameter mismatch not only exists in system parameters, but also in the external excitation ones. More reasonably, the values of parameter mismatch can be uncertain. Besides, a single state feedback control including an approximate differentiation filter only needs to know information about one state, which provides an advantage over the use of full-state model-based observers. It is shown that the approaches developed here further extend the ideas and techniques presented in recent literature. As a direct application of the new theoretical results, the obtained results are applied to a typical Horizontal Platform system and the representative forced Duffing–Van der Pol oscillator. Subsequently, numerical simulations demonstrate the effectiveness of the criteria and the robustness of the control technique.

  • Practical synchronization of second-order nonautonomous systems with parameter mismatch and its applications
    Nonlinear Dynamics, 2012
    Co-Authors: Jin Zhou, Jianping Cai
    Abstract:

    This paper is concerned with robust practical synchronization for general second-order nonautonomous systems with parameter mismatch. Some simple yet general algebraic criteria are derived based on practical stability theory of nonautonomous dynamical systems. A distinctive feature of this work is that the parameter mismatch cannot only be existed in system parameters, but also in external excitation ones. Furthermore, the obtained results are applied to a typical Horizontal Platform system and the representative forced Van der Pol oscillator. Subsequently, numerical simulations demonstrate the effectiveness of the criteria and the robustness of the control technique.

  • Chaos Synchronization Criteria and Costs of Sinusoidally Coupled Horizontal Platform Systems
    Mathematical Problems in Engineering, 2007
    Co-Authors: Jianping Cai, Shuhui Chen
    Abstract:

    Some algebraic sufficient criteria for synchronizing two Horizontal Platform systems coupled by sinusoidal state error feedback control are derived by the Lyapunov stability theorem for linear time-varying system and Sylvester's criterion. The state variables are restricted in a subregion in order to obtain easily verified criteria. The validity of these algebraic criteria is illustrated with some numerical examples. A new concept, synchronization cost, is introduced based on a measure of the magnitude of the feedback control. The minimal synchronization cost as well as optimal coupling strength is calculated numerically. The results are meaningful in engineering application.

  • Robust synchronization of chaotic Horizontal Platform systems with phase difference
    Journal of Sound and Vibration, 2007
    Co-Authors: Jianping Cai, Muhong Wang
    Abstract:

    This paper studies a robust synchronization of non-autonomous chaotic systems with parameter mismatch. In the synchronization scheme, a linear state error feedback control is used to couple the master and slave Horizontal Platform systems excited by harmonic external forces, between which there exists a phase mismatch. A new definition of global synchronization with error bound is introduced. Using Lyapunov's stability theory, the sufficient synchronization criteria for the scheme are proven and the corresponding synchronization error bound is estimated. The synchronization criteria are further optimized by optimally designing a quadratic Lyapunov function to more precisely estimate the synchronization error bound. The illustrative simulations verify the effectiveness of these criteria. The estimated synchronization error bound is compared with numerical one in the examples.

  • master slave chaos synchronization criteria for the Horizontal Platform systems via linear state error feedback control
    Journal of Sound and Vibration, 2006
    Co-Authors: Jianping Cai, Muhong Wang
    Abstract:

    Global chaos synchronization of two identical non-autonomous Horizontal Platform systems coupled by linear state error feedback controller is investigated. The sufficient criteria for global chaos synchronization are deduced based on the stability theory of linear time-varied systems and Lyapunov's direct method, of which, the criteria related to general coupling matrix are first proved and applied to derive the ones related to some special coupling matrices. In the examples, the coupling strengths are designed by the obtained criteria and the appearances of chaos synchronization are verified. It is analytically and numerically examined that the synchronization criteria based on Lyapunov's direct method are sharper than the criteria based on the stability theory of linear time-varied systems.

Her-terng Yau - One of the best experts on this subject based on the ideXlab platform.

  • Circuit Implementation and Synchronization Control of Chaotic Horizontal Platform Systems by Wireless Sensors
    Mathematical Problems in Engineering, 2013
    Co-Authors: Meei-ling Hung, Her-terng Yau
    Abstract:

    Horizontal Platform system (HPS) produces a nonlinear behavior from precision machinery systems. This mechanical system is implemented mainly in offshore areas or earthquake engineering. However, elucidating or controlling this non-linear behavior of mechanical systems is extremely difficult and time consuming. Therefore, in addition to developing an electronic circuit to implement HPS, this work designs a sliding mode control (SMC) for synchronizing the state trajectories of two Horizontal Platform systems, subsequently allowing us to easily understand the HPS, perform more detailed analysis, and achieve further control. Experimental results demonstrate the feasibility of implementing the HPS by the proposed electronic circuit system. Comparing the proposed electronic circuitry designs and the HPS of computer simulation reveals that the results of the non-linear dynamic behavior correlate well with each other. Finally, based on use of the control technology, master-slave chaos synchronization with sliding mode control is achieved by wireless sensors.

  • Suppression of chaotic behavior in Horizontal Platform systems based on an adaptive sliding mode control scheme
    Communications in Nonlinear Science and Numerical Simulation, 2011
    Co-Authors: Neng-sheng Pai, Her-terng Yau
    Abstract:

    This work presents an adaptive sliding mode control scheme to elucidate the robust chaos suppression control of non-autonomous chaotic systems. The proposed control scheme utilizes extended systems to ensure that continuous control input is obtained in order to avoid chattering phenomenon as frequently in conventional sliding mode control systems. A switching surface is adopted to ensure the relative ease in stabilizing the extended error dynamics in the sliding mode. An adaptive sliding mode controller (ASMC) is then derived to guarantee the occurrence of the sliding motion, even when the chaotic Horizontal Platform system (HPS) is undergoing parametric uncertainties. Based on Lyapunov stability theorem, control laws are derived. In addition to guaranteeing that uncertain Horizontal Platform chaotic systems can be stabilized to a steady state, the proposed control scheme ensures asymptotically tracking of any desired trajectory. Furthermore, the numerical simulations verify the accuracy of the proposed control scheme, which is applicable to another chaotic system based on the same design scheme.

  • Generalized Projective Synchronization for the Horizontal Platform Systems via an Integral-type Sliding Mode Control
    Journal of Vibration and Control, 2010
    Co-Authors: Neng-sheng Pai, Her-terng Yau
    Abstract:

    In this paper, an integral-type sliding mode controller design for generalized projective synchronization of two Horizontal Platform systems (HPS) is considered. The concept of extend systems is us...

  • Chaos suppression control of Horizontal Platform system with parametric uncertainties
    2009 ISECS International Colloquium on Computing Communication Control and Management, 2009
    Co-Authors: Shun-jih Wang, Chao-lin Kuo, Her-terng Yau
    Abstract:

    This paper studies a robust chaos suppression control of non-autonomous chaotic systems. In the control scheme, a sliding mode controller (SMC) is used to suppress the chaotic Horizontal Platform (HPS) system excited by harmonic external forces, between which there exists parametric uncertainties. Based on Lyapunov stability theorem, control laws are derived. It is guaranteed that under the proposed control law, uncertain Horizontal Platform chaotic systems can be stabilized to a steady state as well as asymptotically tracking of any desired trajectory. Numerical simulations are shown to verify the results and this control law can be applied to another chaotic system by the same design scheme.

Robert Mccall - One of the best experts on this subject based on the ideXlab platform.

  • Infragravity wave generation on shore Platforms: Bound long wave versus breakpoint forcing
    Geomorphology, 2020
    Co-Authors: Tim Poate, Gerd Masselink, Martin Austin, Kris Inch, Mark E. Dickson, Robert Mccall
    Abstract:

    Abstract Shore Platforms are ubiquitous morphological features along rocky coastlines and display a spectrum of forms from gently-sloping to sub-Horizontal with a low tide cliff. They generally front eroding coastal cliffs and play an important natural coastal protection role by dissipating wave energy, especially during energetic wave conditions. Sea-swell wave energy dissipates during wave breaking, but the transfer of incident wave energy to lower frequencies, resulting in infragravity waves, can enable significant amounts of wave energy to persist up to the shoreline. This residual wave motion at the shoreline can carry out geomorphic work, for example by directly impacting the cliff face, but also for removing cliff-toe debris. There are two main mechanisms for generating infragravity wave motion – group bound long waves and breakpoint forcing – and it is not known which of these mechanisms operate on shore Platforms. Here we show, using field data collected at a sloping Platform in England and a sub-Horizontal Platform in New Zealand, and supported by numerical modelling, that the group bound long wave mechanism is most important on sloping Platforms, whereas breakpoint forcing dominates on sub-Horizontal Platforms. Our results also suggest that the infragravity wave motion on the sloping Platform is somewhat more energetic than that on the sub-Horizontal Platform, implying that the latter type of Platform may provide better protection to coastal cliffs. However, site-specific factors, especially Platform elevation with respect to tidal level and Platform gradient, play a key role in wave transformation processes on shore Platforms and more field data and modelling efforts are required to enhance our understanding of these processes, especially collected under extreme wave conditions (Hs > 5 m).

Ke Ding - One of the best experts on this subject based on the ideXlab platform.

Qing-long Han - One of the best experts on this subject based on the ideXlab platform.