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  • 1.
    Huang, Lirong
    KTH, School of Electrical Engineering (EES), Automatic Control.
    Memoryless SMC design methods for stochastic delay systems2012In: Asian journal of control, ISSN 1561-8625, E-ISSN 1561-8625, Vol. 14, no 6, p. 1496-1504Article in journal (Refereed)
    Abstract [en]

    Recently, the sliding mode control (SMC) method has been extended to accommodate stochastic systems. Particularly, restrictive assumption on the structure of the control systems have been removed and a practical SMC design method for stochastic systems has been presented. This paper continues this line of research and studies the SMC methods for stochastic systems with state delay in diffusion. Both delay-independent and delay-dependent approaches are investigated. Essentially, this paper studies SMC design methods with memoryless controllers for time delay systems, which has been a problem in the past decades.

  • 2.
    Huang, Lirong
    et al.
    KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
    Hjalmarsson, Håkan
    KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
    A Multi-Time-Scale Generalization of Recursive Identification Algorithm for ARMAX Systems2015In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 60, no 8, p. 2242-2247Article in journal (Refereed)
    Abstract [en]

    Recently, Chen (2010) presented a new approach to recursive identification for ARMAX systems, which is a three-stage recursive scheme and assumes independent and identically distributed input signals. Here, we observe that, unless the time scale of the algorithm at one stage is reasonably faster than those at the previous stages, convergence to the true value may not take place. To remedy this issue, this note proposes a multi-time-scale modification of the algorithm in [ 5] such that convergence is achieved. In addition, the new scheme handles a wider class of input signals so that the input can be designed for some purpose. The advantage of the multi-time scale algorithm is verified with numerical examples.

  • 3.
    Huang, Lirong
    et al.
    KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
    Hjalmarsson, Håkan
    KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
    Rojas, Cristian R.
    KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
    On consistent estimation of farthest NMP zeros of stable LTI systems2011In: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC11), 2011, p. 5094-5099Conference paper (Refereed)
    Abstract [en]

    Recently, identification of real-valued NMP zerosof discrete-time LTI systems has been studied in a few works. Among the key results, an adaptive input design approach is presented for consistent estimation of NMP zeros of stable LTI systems. However, this result is not applicable if the sign of the first impulse response coefficient is unknown. This paper studies the problem of estimation of the farthest NMP zeros without such prior knowledge.

  • 4.
    Huang, Lirong
    et al.
    KTH, School of Electrical Engineering (EES), Automatic Control.
    Mao, Xuerong
    Stability of Singular Stochastic Systems With Markovian Switching2011In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 56, no 2, p. 424-429Article in journal (Refereed)
    Abstract [en]

    In recent years, singular hybrid systems have received considerable attention. However, few results are concerned with stability of singular hybrid stochastic systems. Based on a stability result for singular hybrid systems, this note studies mean-square stability of singular hybrid stochastic systems. It is found that the diffusions and the Markov chain may play important roles in system analysis in mean-square sense. As a special case, a criterion for mean-square stability of hybrid stochastic systems is developed by the frequency domain approach.

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