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  • 1.
    Holmberg, Ulf
    Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), Halmstad Embedded and Intelligent Systems Research (EIS).
    Comments on “A Revisit to the Gain and Phase Margins ofLinear Quadratic Regulators”2001In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 46, no 9, p. 1508-1509Article in journal (Refereed)
    Abstract [en]

    In the above paper, an example is given, showing that the LQ controller gives an arbitrary small gain margin with respect to variations of the open-loop plant. As a remedy, a dynamic-state feedback is proposed which is claimed to give an arbitrary large gain margin. This is incorrect. In fact, the proposed dynamic state feedback controller does not even stabilize the nominal system.

  • 2.
    Wei, Jieqiang
    et al.
    ACCESS Linnaeus Centre School of Electrical Engineering, KTH Royal Institute of Technology, Stockholm, Sweden.
    Zhang, Silun
    School of Engineering Sciences, KTH Royal Institute of Technology, Stockholm, Sweden..
    Adaldo, Antonio
    ACCESS Linnaeus Centre School of Electrical Engineering, KTH Royal Institute of Technology, Stockholm, Sweden.
    Thunberg, Johan
    Halmstad University, School of Information Technology. Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Luxembourg.
    Hu, Xiaoming
    Division of Optimization and Systems Theory Department of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden.
    Johansson, Karl Henrik
    ACCESS Linnaeus Centre School of Electrical Engineering, KTH Royal Institute of Technology, Stockholm, Sweden.
    Finite-Time Attitude Synchronization With Distributed Discontinuous Protocols2018In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 63, no 10, p. 3608-3615Article in journal (Refereed)
    Abstract [en]

    The finite-time attitude synchronization problem is considered in this paper, where the rotation of each rigid body is expressed using the axis-angle representation. Two discontinuous and distributed controllers using the vectorized signum function are proposed, which guarantee almost global and local convergence, respectively. Filippov solutions and nonsmooth analysis techniques are adopted to handle the discontinuities. Sufficient conditions are provided to guarantee finite-time convergence and boundedness of the solutions. Simulation examples are provided to verify the performances of the control protocols designed in this paper. 

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