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Robust H ∞ Control for Non-Minimum Phase Switched Cascade Systems with Time Delay.

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Title: Robust H ∞ Control for Non-Minimum Phase Switched Cascade Systems with Time Delay.
Authors: Zhao, Shengzhi, Dimirovski, Georgi M., Ma, Ruicheng
Source: Asian Journal of Control. Sep2015, Vol. 17 Issue 5, p1590-1599. 10p.
Subjects: Time study, Time delay systems, Lyapunov functions, Nonlinear dynamical systems, Electronic feedback
Abstract: The H ∞ control of a class of the uncertain switched nonlinear cascaded systems with time delay is explored in this paper via the multiple Lyapunov functions. The considered systems are assumed to comprise an inherently nonlinear and a linearizable nonlinear dynamic system that may be non-minimum phase. A group of partial differential inequalities containing adjustable functions are used in the control design task. The state feedback controllers and a suitable switching law are designed simultaneously so as to achieve the desired disturbance attenuation while preserving asymptotic stability for all admissible uncertainties. The partial differential inequalities are of lower dimension than general Hamilton-Jacobi inequalities, and therefore the solving process is feasible. This particular technique is applicable even if no subsystem is asymptotically stable. The non-minimum phase property is compensated for by means of an appropriate switching mechanism. A robust H ∞ control for non-switched cascade system with time delay is obtained in addition. An illustrative example is given to demonstrate the efficiency of the proposed design method. [ABSTRACT FROM AUTHOR]
Copyright of Asian Journal of Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The H ∞ control of a class of the uncertain switched nonlinear cascaded systems with time delay is explored in this paper via the multiple Lyapunov functions. The considered systems are assumed to comprise an inherently nonlinear and a linearizable nonlinear dynamic system that may be non-minimum phase. A group of partial differential inequalities containing adjustable functions are used in the control design task. The state feedback controllers and a suitable switching law are designed simultaneously so as to achieve the desired disturbance attenuation while preserving asymptotic stability for all admissible uncertainties. The partial differential inequalities are of lower dimension than general Hamilton-Jacobi inequalities, and therefore the solving process is feasible. This particular technique is applicable even if no subsystem is asymptotically stable. The non-minimum phase property is compensated for by means of an appropriate switching mechanism. A robust H ∞ control for non-switched cascade system with time delay is obtained in addition. An illustrative example is given to demonstrate the efficiency of the proposed design method. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Asian Journal of Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/asjc.953
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        Text: English
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        PageCount: 10
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      – SubjectFull: Time study
        Type: general
      – SubjectFull: Time delay systems
        Type: general
      – SubjectFull: Lyapunov functions
        Type: general
      – SubjectFull: Nonlinear dynamical systems
        Type: general
      – SubjectFull: Electronic feedback
        Type: general
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      – TitleFull: Robust H ∞ Control for Non-Minimum Phase Switched Cascade Systems with Time Delay.
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              M: 09
              Text: Sep2015
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              Y: 2015
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