Feedback Controller

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Sing Kiong Nguang - One of the best experts on this subject based on the ideXlab platform.

  • delta modulator based quantised output Feedback Controller for linear networked control systems
    IEEE Access, 2020
    Co-Authors: Chathura Wanigasekara, Dhafer Almakhles, Akshya Swain, Sing Kiong Nguang
    Abstract:

    This article proposes a $\Delta $ -Modulator ( $\Delta $ -M) based quantised output Feedback Controller for linear networked systems. The proposed $\Delta $ -M is essentially a 2-level quantiser, in contrast to some of the existing quantisers such as $2^{p}$ level ( $p \geq 1$ ) uniform-interval-nearest-neighbour quantiser, and offers various advantages which include lower design complexity, less noisy and lower cost. The three key components of the control system: the Controller , the filter and the quantiser are designed to achieve the desired performance. The stability conditions of the $\Delta $ -M are derived and conditions for the existence of zig-zag behaviour in steady-state are determined. The performance of the proposed Controller is illustrated through simulations considering practical communication network based on ZigBee protocol. The results of the simulation demonstrate that the proposed Controller could effectively achieve desired performance under various imperfections of the practical communication network.

  • a novel observer based output Feedback Controller design for discrete time fuzzy systems
    IEEE Transactions on Fuzzy Systems, 2015
    Co-Authors: Jinhui Zhang, Peng Shi, Jiqing Qiu, Sing Kiong Nguang
    Abstract:

    This paper addresses the problem of observer-based output Feedback Controller designs for discrete-time T-S fuzzy systems based on a relaxed approach in which the fuzzy Lyapunov functions are used. Different from the existing two-step method, a single-step linear matrix inequality method is provided for the observer-based Controller design. It is shown that the Controller and observer parameters can be obtained by solving a set of strict linear matrix inequalities that are numerically feasible with commercially available software. The new design method not only overcomes the drawback induced by the two-step approach but also provides less conservative results over some existing results. Finally, the effectiveness of the proposed approach is demonstrated by an example.

  • robust h static output Feedback Controller design for parameter dependent polynomial systems an iterative sums of squares approach
    Journal of The Franklin Institute-engineering and Applied Mathematics, 2013
    Co-Authors: Matthias Krug, Shakir Saat, Sing Kiong Nguang
    Abstract:

    Abstract This paper considers the problem of designing a robust H ∞ static output Feedback Controller for polynomial systems with parametric uncertainties. Sufficient conditions for the existence of a nonlinear H ∞ static output Feedback Controller are given in terms of solvability conditions of polynomial matrix inequalities. An iterative sum of squares decomposition is proposed to solve these polynomial matrix inequalities. The proposed Controller guarantees that the closed-loop system is stable and the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. Numerical examples are provided to demonstrate the validity of applied methods.

  • nonlinear robust h static output Feedback Controller design for parameter dependent polynomial systems an iterative sum of squares approach
    Conference on Decision and Control, 2011
    Co-Authors: Matthias Krug, Shakir Saat, Sing Kiong Nguang
    Abstract:

    The design of a robust nonlinear H ∞ static output Feedback Controller for parameter dependent polynomial systems is a hard problem. This paper presents a computational relaxation in form of an iterative design approach. The proposed Controller guarantees the L 2 -gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H ∞ static output Feedback Controller are given in terms of solvability conditions of polynomial matrix inequalities, which are solved using sum of squares decomposition. Numerical examples are provided to demonstrate the validity of the applied methods.

  • nonlinear static output Feedback Controller design for uncertain polynomial systems an iterative sums of squares approach
    Conference on Industrial Electronics and Applications, 2011
    Co-Authors: Sing Kiong Nguang, Matthias Krug, Shakir Saat
    Abstract:

    This paper examines the problem of designing a nonlinear static output Feedback Controller for uncertain polynomial systems via an iterative sums of squares approach. The derivation of the static output Feedback Controller is given in terms of the solvability conditions of state dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the sum of squares (SOS) decomposition is proposed to solve these state-dependent BMIs. Finally, numerical examples are provided at the end of the paper as to demonstrate the validity of the proposed design technique.

Matthias Krug - One of the best experts on this subject based on the ideXlab platform.

  • robust h static output Feedback Controller design for parameter dependent polynomial systems an iterative sums of squares approach
    Journal of The Franklin Institute-engineering and Applied Mathematics, 2013
    Co-Authors: Matthias Krug, Shakir Saat, Sing Kiong Nguang
    Abstract:

    Abstract This paper considers the problem of designing a robust H ∞ static output Feedback Controller for polynomial systems with parametric uncertainties. Sufficient conditions for the existence of a nonlinear H ∞ static output Feedback Controller are given in terms of solvability conditions of polynomial matrix inequalities. An iterative sum of squares decomposition is proposed to solve these polynomial matrix inequalities. The proposed Controller guarantees that the closed-loop system is stable and the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. Numerical examples are provided to demonstrate the validity of applied methods.

  • nonlinear robust h static output Feedback Controller design for parameter dependent polynomial systems an iterative sum of squares approach
    Conference on Decision and Control, 2011
    Co-Authors: Matthias Krug, Shakir Saat, Sing Kiong Nguang
    Abstract:

    The design of a robust nonlinear H ∞ static output Feedback Controller for parameter dependent polynomial systems is a hard problem. This paper presents a computational relaxation in form of an iterative design approach. The proposed Controller guarantees the L 2 -gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H ∞ static output Feedback Controller are given in terms of solvability conditions of polynomial matrix inequalities, which are solved using sum of squares decomposition. Numerical examples are provided to demonstrate the validity of the applied methods.

  • nonlinear h static output Feedback Controller design for polynomial systems an iterative sums of squares approach
    Conference on Industrial Electronics and Applications, 2011
    Co-Authors: Shakir Saat, Matthias Krug, Sing Kiong Nguang
    Abstract:

    An iterative approach for the design of a nonlinear H ∞ static output Feedback Controller for polynomial systems is presented in this paper. The proposed Controller guarantees the L 2 -gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H ∞ static output Feedback Controller are given in terms of solvability conditions of polynomial matrix inequalities, which are solved using sum of squares decomposition. Numerical examples are provided to demonstrate the validity of applied methods.

  • nonlinear static output Feedback Controller design for uncertain polynomial systems an iterative sums of squares approach
    Conference on Industrial Electronics and Applications, 2011
    Co-Authors: Sing Kiong Nguang, Matthias Krug, Shakir Saat
    Abstract:

    This paper examines the problem of designing a nonlinear static output Feedback Controller for uncertain polynomial systems via an iterative sums of squares approach. The derivation of the static output Feedback Controller is given in terms of the solvability conditions of state dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the sum of squares (SOS) decomposition is proposed to solve these state-dependent BMIs. Finally, numerical examples are provided at the end of the paper as to demonstrate the validity of the proposed design technique.

  • static output Feedback Controller design for uncertain polynomial systems an iterative sums of squares approach
    Iet Control Theory and Applications, 2011
    Co-Authors: Sing Kiong Nguang, Shakir Saat, Matthias Krug
    Abstract:

    This study examines the problem of designing a static output Feedback Controller for uncertain polynomial systems via an iterative sums of squares (SOS) approach. The derivation of the static output Feedback Controller is given in terms of the solvability conditions of state-dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the SOS decomposition is proposed to solve these state-dependent BMIs. Finally, numerical examples are provided at the end of the study as to demonstrate the validity of the proposed design technique.

Shakir Saat - One of the best experts on this subject based on the ideXlab platform.

  • robust h static output Feedback Controller design for parameter dependent polynomial systems an iterative sums of squares approach
    Journal of The Franklin Institute-engineering and Applied Mathematics, 2013
    Co-Authors: Matthias Krug, Shakir Saat, Sing Kiong Nguang
    Abstract:

    Abstract This paper considers the problem of designing a robust H ∞ static output Feedback Controller for polynomial systems with parametric uncertainties. Sufficient conditions for the existence of a nonlinear H ∞ static output Feedback Controller are given in terms of solvability conditions of polynomial matrix inequalities. An iterative sum of squares decomposition is proposed to solve these polynomial matrix inequalities. The proposed Controller guarantees that the closed-loop system is stable and the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. Numerical examples are provided to demonstrate the validity of applied methods.

  • nonlinear robust h static output Feedback Controller design for parameter dependent polynomial systems an iterative sum of squares approach
    Conference on Decision and Control, 2011
    Co-Authors: Matthias Krug, Shakir Saat, Sing Kiong Nguang
    Abstract:

    The design of a robust nonlinear H ∞ static output Feedback Controller for parameter dependent polynomial systems is a hard problem. This paper presents a computational relaxation in form of an iterative design approach. The proposed Controller guarantees the L 2 -gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H ∞ static output Feedback Controller are given in terms of solvability conditions of polynomial matrix inequalities, which are solved using sum of squares decomposition. Numerical examples are provided to demonstrate the validity of the applied methods.

  • nonlinear h static output Feedback Controller design for polynomial systems an iterative sums of squares approach
    Conference on Industrial Electronics and Applications, 2011
    Co-Authors: Shakir Saat, Matthias Krug, Sing Kiong Nguang
    Abstract:

    An iterative approach for the design of a nonlinear H ∞ static output Feedback Controller for polynomial systems is presented in this paper. The proposed Controller guarantees the L 2 -gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H ∞ static output Feedback Controller are given in terms of solvability conditions of polynomial matrix inequalities, which are solved using sum of squares decomposition. Numerical examples are provided to demonstrate the validity of applied methods.

  • nonlinear static output Feedback Controller design for uncertain polynomial systems an iterative sums of squares approach
    Conference on Industrial Electronics and Applications, 2011
    Co-Authors: Sing Kiong Nguang, Matthias Krug, Shakir Saat
    Abstract:

    This paper examines the problem of designing a nonlinear static output Feedback Controller for uncertain polynomial systems via an iterative sums of squares approach. The derivation of the static output Feedback Controller is given in terms of the solvability conditions of state dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the sum of squares (SOS) decomposition is proposed to solve these state-dependent BMIs. Finally, numerical examples are provided at the end of the paper as to demonstrate the validity of the proposed design technique.

  • static output Feedback Controller design for uncertain polynomial systems an iterative sums of squares approach
    Iet Control Theory and Applications, 2011
    Co-Authors: Sing Kiong Nguang, Shakir Saat, Matthias Krug
    Abstract:

    This study examines the problem of designing a static output Feedback Controller for uncertain polynomial systems via an iterative sums of squares (SOS) approach. The derivation of the static output Feedback Controller is given in terms of the solvability conditions of state-dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the SOS decomposition is proposed to solve these state-dependent BMIs. Finally, numerical examples are provided at the end of the study as to demonstrate the validity of the proposed design technique.

Chen Peng - One of the best experts on this subject based on the ideXlab platform.

  • state Feedback Controller design of networked control systems with interval time varying delay and nonlinearity
    International Journal of Robust and Nonlinear Control, 2008
    Co-Authors: Chen Peng, Yuchu Tian, Moses O Tade
    Abstract:

    SUMMARY This paper proposes a method for robust state Feedback Controller design of networked control systems with interval time-varying delay and nonlinearity. The key steps in the method are to construct an improved interval-delay-dependent Lyapunov functional and to introduce an extended Jessen’s inequality. Neither free weighting nor model transformation are employed in the derivation of the system stability criteria. It is shown that the maximum allowable bound on the nonlinearity could be computed through solving a constrained convex optimization problem; and the maximum allowable delay bound and the Feedback gain of a memoryless Controller could be derived by solving a set of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the efiectiveness of the proposed method.

Moses O Tade - One of the best experts on this subject based on the ideXlab platform.

  • state Feedback Controller design of networked control systems with interval time varying delay and nonlinearity
    International Journal of Robust and Nonlinear Control, 2008
    Co-Authors: Chen Peng, Yuchu Tian, Moses O Tade
    Abstract:

    SUMMARY This paper proposes a method for robust state Feedback Controller design of networked control systems with interval time-varying delay and nonlinearity. The key steps in the method are to construct an improved interval-delay-dependent Lyapunov functional and to introduce an extended Jessen’s inequality. Neither free weighting nor model transformation are employed in the derivation of the system stability criteria. It is shown that the maximum allowable bound on the nonlinearity could be computed through solving a constrained convex optimization problem; and the maximum allowable delay bound and the Feedback gain of a memoryless Controller could be derived by solving a set of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the efiectiveness of the proposed method.