The Experts below are selected from a list of 327 Experts worldwide ranked by ideXlab platform

Federico Najson - One of the best experts on this subject based on the ideXlab platform.

  • State-feedback stabilizability in switched Homogeneous Systems
    2009 American Control Conference, 2009
    Co-Authors: Federico Najson
    Abstract:

    The present article is concerned with state-feedback stabilizability of discrete-time switched Homogeneous Systems. Necessary and sufficient conditions for state-feedback exponential stabilizability are presented. It is shown that, a switched Homogeneous System is state-feedback exponentially stabilizable if and only if an associated sequence converges to zero. Equivalently, a switched Homogeneous System is state-feedback exponentially stabilizable if and only if an associated dynamic programming equation admits a solution on a given convex set. This unique solution of that associated dynamic programming equation is shown to be the optimal cost functional of a related infinite-horizon quadratic regulator problem (for the switched Homogeneous System) whose solution is also presented. A numerical example illustrates the results reported in the paper.

  • ACC - State-feedback stabilizability in switched Homogeneous Systems
    2009 American Control Conference, 2009
    Co-Authors: Federico Najson
    Abstract:

    The present article is concerned with state-feedback stabilizability of discrete-time switched Homogeneous Systems. Necessary and sufficient conditions for state-feedback exponential stabilizability are presented. It is shown that, a switched Homogeneous System is state-feedback exponentially stabilizable if and only if an associated sequence converges to zero. Equivalently, a switched Homogeneous System is state-feedback exponentially stabilizable if and only if an associated dynamic programming equation admits a solution on a given convex set. This unique solution of that associated dynamic programming equation is shown to be the optimal cost functional of a related infinite-horizon quadratic regulator problem (for the switched Homogeneous System) whose solution is also presented. A numerical example illustrates the results reported in the paper.

L. Grune - One of the best experts on this subject based on the ideXlab platform.

  • Homogeneous state feedback stabilization of Homogeneous Systems
    Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2000
    Co-Authors: L. Grune
    Abstract:

    We show that for any asymptotically controllable Homogeneous System in Euclidean space (not necessarily Lipschitz at the origin) there exists an Homogeneous control Lyapunov function and a Homogeneous, possibly discontinuous state feedback law stabilizing the corresponding sampled closed loop System. We also show the relation between the degree of homogeneity and the bounds on the sampling rates which ensure asymptotic stability.

Shihua Li - One of the best experts on this subject based on the ideXlab platform.

  • Global Stabilization via Sampled-Data Output Feedback for a Class of Linearly Uncontrollable and Unobservable Systems
    IEEE Transactions on Automatic Control, 2016
    Co-Authors: Chunjiang Qian, Haibo Du, Shihua Li
    Abstract:

    This note considers the problem of global stabilization using sampled-data output feedback for a class of nonlinear Systems in the p-normal form which have uncontrollable and unobservable linearizations around the origin. A new sampled-data observer, which is featured with a special feedforward propagation structure, is constructed to estimate the unmeasurable states. The output feedback control law is obtained by discretizing the continuous-time Homogeneous control law. Based on the trajectory estimation of the Homogeneous System, a sampling period is determined to guarantee global asymptotic stability of the closed-loop System.

  • Finite-time control for soft landing on an asteroid based on Homogeneous System technique
    Proceedings of the 32nd Chinese Control Conference, 2013
    Co-Authors: Shihua Li, Jun Yang
    Abstract:

    Finite-time control (FTC) for soft landing on an asteroid problem is considered in this paper. Firstly, based on the design philosophy of cascaded System, the landing error dynamics of asteroid probe are divided into two subSystems, including a position error subSystem (PES) and a line-of-sight angle error subSystem (LOSAES). Secondly, Homogeneous System technique is employed to design the controller for LOSAES such that the states of LOSAES will be stabilized to the origin in finite time. Then, a finite-time controller is designed for the reduced PES subSystem such that the rest states will converge to zero in finite time. Strict analysis shows that the whole System satisfies the finite time stability. The effectiveness of the proposed method is illustrated by simulation results.

Ilya Kolmanovsky - One of the best experts on this subject based on the ideXlab platform.

  • Value Iteration for (Switched) Homogeneous Systems
    IEEE Transactions on Automatic Control, 2009
    Co-Authors: Michael Rinehart, Munther Dahleh, Ilya Kolmanovsky
    Abstract:

    In this note, we prove that dynamic programming value iteration converges uniformly for discrete-time Homogeneous Systems and continuous-time switched Homogeneous Systems. For discrete-time Homogeneous Systems, rather than discounting the cost function (which exponentially decreases the weights of the cost of future actions), we show that such Systems satisfy approximate dynamic programming conditions recently developed by Rantzer, which provides a uniform bound on the convergence rate of value iteration over a compact set. For continuous-time switched Homogeneous System, we present a transformation that generates an equivalent discrete-time Homogeneous System with an additional ldquosamplingrdquo input for which discrete-time value iteration is compatible, and we further show that the inclusion of Homogeneous switching costs results in a continuous value function.

Akikazu Matsumoto - One of the best experts on this subject based on the ideXlab platform.