Home  About us  Contact
 

Guaranteed Cost (guaranteed + cost)

Distribution by Scientific Domains
Engineering100%

Terms modified by Guaranteed Cost

  • guaranteed cost controller
    		•

    Selected Abstracts

    On delay-dependent LMI-based guaranteed cost control of uncertain neutral systems with discrete and distributed time-varying delays

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 12 2007
    Jenq-Der Chen
    Abstract In this paper, the problem of designing robust guaranteed cost control law for a class of uncertain neutral system with a given quadratic cost function is considered. Based on Lyapunov,Krasovskii functional theory, a delay-dependent criterion for the existence of guaranteed cost controller is expressed in the form of two linear matrix inequalities (LMIs), which can be solved by using effective LMI toolbox. Moreover, a convex optimization problem satisfying some LMI constraints is formulated to solve a guaranteed cost controller which achieves the minimization of the closed-loop guaranteed cost. An efficient approach is proposed to design the guaranteed cost control for uncertain neutral systems. Computer software Matlab can be used to solve all the proposed results. Finally, a numerical example is illustrated to show the usefulness of our obtained design method. Copyright © 2006 John Wiley & Sons, Ltd. [source]

    Robust Kalman filtering for uncertain discrete-time linear systems

    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 13 2003
    Germain Garcia
    Abstract This paper presents a steady-state robust state estimator for a class of uncertain discrete-time linear systems with norm-bounded uncertainty. It is shown that if the system satisfies some particular structural conditions and if the uncertainty has a specific structure, the gain of the robust estimator (which assures a guaranteed cost) can be calculated using a formula only involving the original system matrices. Among the conditions the system has to satisfy, the strongest one relies on a minimum phase argument. It is also shown that under the assumptions considered, the robust estimator is in fact the Kalman filter for the nominal system. Copyright © 2003 John Wiley & Sons, Ltd. [source]

    Optimal guaranteed cost for singular linear systems with random abrupt changes

    OPTIMAL CONTROL APPLICATIONS AND METHODS, Issue 4 2010
    El-Kébir Boukas
    Abstract This paper considers the class of continuous-time singular linear Markovian jump systems with totally and partially known transition jump rates. The guaranteed cost control problem of this class of systems is tackled. New sufficient conditions for optimal guaranteed cost are developed. A design procedure for the guaranteed cost controller, which guarantees that the closed-loop dynamics will be piecewise regular, impulse-free and stochastically stable is proposed. It is shown that the addressed problem can be solved if the corresponding developed linear matrix inequalities (LMIs) with some constraints are feasible. A numerical example is employed to show the usefulness of the proposed results. Copyright © 2009 John Wiley & Sons, Ltd. [source]

    A convex optimization procedure to compute ,2 and ,, norms for uncertain linear systems in polytopic domains

    OPTIMAL CONTROL APPLICATIONS AND METHODS, Issue 4 2008
    Ricardo C. L. F. Oliveira
    Abstract In this paper, a convergent numerical procedure to compute ,2 and ,, norms of uncertain time-invariant linear systems in polytopic domains is proposed. The norms are characterized by means of homogeneous polynomially parameter-dependent Lyapunov functions of arbitrary degree g solving parameter-dependent linear matrix inequalities. Using an extension of Pólya's Theorem to the case of matrix-valued polynomials, a sequence of linear matrix inequalities is constructed in terms of an integer d providing a Lyapunov solution for a given degree g and guaranteed ,2 and ,, costs whenever such a solution exists. As the degree of the homogeneous polynomial matrices increases, the guaranteed costs tend to the worst-case norm evaluations in the polytope. Both continuous- and discrete-time uncertain systems are investigated, as illustrated by numerical examples that include comparisons with other techniques from the literature. Copyright © 2007 John Wiley & Sons, Ltd. [source]