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We introduce an extension of the notion of homogeneous approximation to make it valid both at the origin and at infinity (homogeneity in the bi-limit). Exploiting this extension, we give several results concerning stability, robustness and uniform (in the initial condition) finite time convergence for a homogeneous in the bi-limit vector field. We then introduce a homogeneous in the bi-limit observer...
This paper investigates the problem of simultaneous fault and state estimation of either bounded state or globally Lipschtiz nonlinear systems subject to time delay and unknown input. We assume that the system has a triangular structure and the fault is a scalar and polynomial time dependent function. Based on the Lyapunov analysis method, we show that the observer design is related to neither delay...
Continuous Petri nets (conPNs) are an approximation of (discrete) Petri nets (PNs) introduced to cope with the state explosion problem typical of discrete event systems. We consider a free-labeled Petri net model and assume that certain transitions, including all that model faulty behaviors are unobservable, i.e., they are labeled with the empty word. We show how to design a marking observer that...
This paper deals with necessary and sufficient conditions to transform a class of switched systems to a particular form dedicated to observer design with and without zeno phenomena. Meanwhile, sufficient observability conditions for switched system with or without zeno phenomena are given. In the last section, some observer structures are proposed upon two academical examples.
In this paper, a new fuzzy adaptive control approach is developed for a class of strict-feedback nonlinear systems with unknown time-delay. Using fuzzy logic systems to approximate the unknown nonlinear functions, a fuzzy adaptive observer is introduced for state estimation. Under the backstepping design, fuzzy adaptive output feedback control is constructed recursively. In addition, the number of...
In the synthesis of control systems, the stability is not only the main objective. But also robustness to the effect of the disturbance is required. In this paper, robust Hinfin control design based on fuzzy observer by linear matrix inequality is carried out in order to achieve a disturbance rejection. In addition, using fuzzy observer, the unmeasured states such as angle of attack can be estimated...
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