Electrical and Electronic Engineering - Research Publications

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    Set-point stabilization of SISO linear systems using First Order Reset Elements
    Zaccarian, L ; Nesic, D ; Teel, AR (IEEE, 2007-01-01)
    In this paper we further develop on a novel representation of first order reset elements (FORE) control systems for SISO plants. We study here the problem of guaranteeing asymptotic tracking of constant references for general plants, which may or may not contain an integrator (namely, an internal model of the constant reference signal). We propose a generalization of the FORE which allows to guarantee asymptotic tracking of constant references when the plant parameters are perfectly known. Robustness of the scheme follows from the L infin stability properties of the FORE control schemes. The proposed approach is successfully illustrated on a simulation example.
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    Point-wise extremum seeking control scheme under repeatable control environment
    Tan, Y ; Mareels, I ; Nešić, D ; Xu, JX (IEEE, 2007-01-01)
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    On stability properties of nonlinear time-varying systems by semi-definite time-varying Lyapunov can
    Wang, ZM ; Tan, Y ; Wang, G ; Nesic, D (IFAC, 2008-12-01)
    Stability properties (uniform stability/uniform asymptotic stability) of nonlinear time-varying systems are explored using positive semi-definite time-varying Lyapunov candidates whose derivative along trajectories is either non-positive or negative semi-definite. Once these positive semi-definite time-varying Lyapunov candidates are available, conditional stability properties on some specific sets can be used to ensure stability properties ( unform stability and unform asymptotic stability) of nonlinear time-varying systems.
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    Further results on robustness of linear control systems with quantized feedback
    Kameneva, T ; Nesic, D (IEEE, 2007-01-01)
    This paper extends results from [5], where input-to-state stabilization (ISS) of linear systems with quantized feedback was considered. In this paper, we show that using the scheme proposed in [5] it is also possible to achieve (nonlinear gain) l2 stabilization for linear systems.
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    Nonlinear Gain l2 Stability of Nonlinear Feedback Systems with Quantized Measurements
    KAMENEVA, T ; NESIC, D (IEEE - Institute of Electrical and Electronic Engineers, 2008)
    In this paper we address the stabilization problem of the nonlinear feedback systems with quantized measurements in the presence of bounded disturbances. Building on an approach applied in [Liberzon, Neˇsi´c, 2004] to the linear time-invariant systems with quantized feedback, we extend the results of [Kameneva, Neˇsi´c, 2008] to the quantized control systems with nonlinear dynamics. Using the time-sampled scheme proposed in [Liberzon, Neˇsi´c, 2004] and later used in [Kameneva, Neˇsi´c, 2008], we show that the nonlinear gain l2 stability is achievable for the nonlinear systems with quantized feedback.
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    Path-following in the presence of unstable zero dynamics: An averaging solution for nonlinear systems
    Dacic, DB ; Nesic, D ; Teel, AR (IEEE, 2007-01-01)
    We consider a path-following problem in which the goal is to ensure that the error between the output and the geometric path asymptotically is less than a prespecifled constant, while guaranteeing output's forward motion along the path and boundedness of all states. For a class of nonlinear systems in which the only input into unstable zero dynamics is system's output and paths satisfying certain geometric condition a solution to this problem was given in [12]. For the same class of systems but under more stringent conditions on the path geometry here we develop a simpler solution to the above problem. We assume here that the path is periodic which allows us to exploit averaging tools to construct an open-loop timeperiodic control law for the path parameter instead of a hybrid control law developed in [12].
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    On mismatch between initializations at coder/decoder in quantized control
    Kameneva, T ; Nesic, D (Elsevier BV, 2008-12-01)
    This paper analyzes the stability of linear systems with quantized feedback in the presence of a mismatch between the initial conditions at the coder and decoder. We show that using the scheme proposed in Liberzon, Nesic (2007) it is possible to achieve global exponential stability of linear systems with quantized feedback when the coder and decoder are initialized at different initial conditions.
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    Input-to-state stabilization of nonlinear systems with quantized feedback
    Kameneva, T ; Nesic, D (IFAC - International Federation of Automatic Control, 2008-12-01)
    This paper addresses the stabilization problem of nonlinear feedback systems with quantized measurements in the presence of bounded disturbances. This paper is an extension of Liberzon, Nesic (2007) to nonlinear systems. Using the scheme proposed in Liberzon, Nesic (2007), we show that input-to-state stability with respect to bounded disturbances is achievable for nonlinear systems with quantized feedback.