Observer Gain-Matrix

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Si-ying Zhan - One of the best experts on this subject based on the ideXlab platform.

  • The design of stabilizing controllers and Observers for uncertain strongly coupled symmetric composite systems
    Proceedings of 32nd IEEE Conference on Decision and Control, 1993
    Co-Authors: Guang-hong Yang, Si-ying Zhan
    Abstract:

    This paper presents a procedure for designing a full state Observer and feedback control law which will stabilize a given uncertain symmetric composite system with strong interconnections. In the design procedure, the state feedback gain matrix and the Observer gain matrix which will stabilize the class of systems can be conducted by the solutions of lower order algebraic Riccati equations. The uncertainties considered in the systems may be time-varying. However the values of the uncertainties are constrained to lie within some known admissible bounds.

Yang Guanghong - One of the best experts on this subject based on the ideXlab platform.

Damien Koenig - One of the best experts on this subject based on the ideXlab platform.

  • Observer design for unknown input nonlinear descriptor systems via a convex optimization
    IEEE Transactions on Automatic Control, 2006
    Co-Authors: Damien Koenig
    Abstract:

    This paper treats the design problem of full-order Observers for nonlinear descriptor systems with unknown input (UI). Depending on the available knowledge on the UI dynamics, two cases are considered. First, an unknown input proportional Observer (UIPO) is proposed when the spectral domain of the UI is unknown. Second, a proportional integral Observer (PIO) is proposed when the spectral domain of the UI is in the low frequency range. Sufficient conditions for the existence and stability of such Observers are given and proved. Based on the linear matrix inequality (LMI) approach, an algorithm is presented to compute the Observer gain matrix that achieves the asymptotic stability objective. An example is included to illustrate the method.

  • Observer design for unknown input nonlinear descriptor systems via convex optimization
    IEEE Transactions on Automatic Control, 2006
    Co-Authors: Damien Koenig
    Abstract:

    This paper treats the design problem of full-order Observers for nonlinear descriptor systems with unknown input (UI). Depending on the available knowledge on the UI dynamics, two cases are considered. First, a UI proportional Observer (UIPO) is proposed when the spectral domain of the UI is unknown. Second, a PIO is proposed when the spectral domain of the UI is in the low frequency range. Sufficient conditions for the existence and stability of such Observers are given and proved. Based on the linear matrix inequality (LMI) approach, an algorithm is presented to compute the Observer gain matrix that achieves the asymptotic stability objective. An example is included to illustrate the method.

Shuang Liang - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear Observer design for one-sided Lipschitz systems with time-varying delay and uncertainties
    International Journal of Robust and Nonlinear Control, 2016
    Co-Authors: Yali Dong, Wanjun Liu, Shuang Liang
    Abstract:

    Summary This paper investigates the problem of state Observer design for a class of nonlinear uncertain dynamical systems with interval time-varying delay and the one-sided Lipschitz condition. By constructing the novel Lyapunov–Krasovskii functional while utilizing the free-weighting matrices approach, the one-sided Lipschitz condition and the quadratic inner-bounded condition, novel sufficient conditions, which guarantee the Observer error converge asymptotically to zero, are established for a class of nonlinear dynamical systems with interval time-varying delay in terms of the linear matrix inequalities. The computing method for Observer gain matrix is given. Finally, two examples illustrate the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.

Guang-hong Yang - One of the best experts on this subject based on the ideXlab platform.

  • The design of stabilizing controllers and Observers for uncertain strongly coupled symmetric composite systems
    Proceedings of 32nd IEEE Conference on Decision and Control, 1993
    Co-Authors: Guang-hong Yang, Si-ying Zhan
    Abstract:

    This paper presents a procedure for designing a full state Observer and feedback control law which will stabilize a given uncertain symmetric composite system with strong interconnections. In the design procedure, the state feedback gain matrix and the Observer gain matrix which will stabilize the class of systems can be conducted by the solutions of lower order algebraic Riccati equations. The uncertainties considered in the systems may be time-varying. However the values of the uncertainties are constrained to lie within some known admissible bounds.