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This paper deals with macroscopic traffic modelling. It investigates real magnetic sensor data, provided by the Performance Measurements System (PeMS), in order to identify some traffic parameters related to a portion of the SR60-E highway in Califorina. Then, these parameters are used to validate a switched linear traffic model.
In this paper, an observer for Switched Linear Systems (SLS) with unknown inputs is designed. LMI conditions, guaranteeing the asymptotic convergence of the observer derived through multiple Lyapunov functions and LMI region. This is done by decoupling a subset of the system states from the unknown inputs and by estimating the states thanks to a like Luenberger observer. Then, an estimator for the...
This paper deals with hybrid observer design for a class of switched systems. The latter are described by Timed Differential Petri Nets (TDPN) that are characterized by a dwell time ensuring the stability of the considered system. The observer structure is composed of a discrete observer and a continuous observer that are in interaction. The discrete observer reconstructs the discrete mode, by estimating...
This paper presents a method to synthesize observer for switched linear systems described by differential Petri nets models. Conditions ensuring the convergence of the estimation errors are given based on the minimum dwell time of subsystems. In addition, this method guarantee the exponentially convergence using the D-stability approach. The design of such observer is formulated in linear matrix inequalities...
In this paper, hybrid observers based approach for faults detection and isolation, for a class of MIMO hybrid systems, is proposed. The faults herein considered can affect the sensors or the discrete trajectory of the considered system. The proposed approach is based on a Dedicated Switched Robust Observer Scheme (DSROS) using three blocks in interaction. A block generating the mode signatures, a...
In this paper, hybrid observers based approach for faults detection and isolation, for a class of MIMO hybrid systems, is proposed. The faults herein considered can affect the sensors or the discrete trajectory of the considered system. The proposed approach is based on a Dedicated Switched Robust Observer Scheme (DSROS) using three blocks in interaction. A block for the mode signatures, a block for...
This paper concerns the design of a robust hybrid observer for switched linear systems with unknown inputs and modeling error. It extends some previous results to a more general class of switched-state jump linear hybrid systems. The observer herein proposed is synthesized for the task of robust fault detection without the knowledge of the active mode. Moreover, the robust fault detection problem...
In this paper, a class of non-autonomous continuous switched linear systems is modeled by an adaptation of the Differential Petri Nets (DPN) formalism. Afterwards, a hybrid observer based state feedback control is proposed and sufficient LMI conditions for stabilizing the closed loop dynamics are provided. The latter is obtained using the separation principal for linear switched systems and the design...
This paper deals with hybrid observer design for state switched systems described by differential Petri nets (DPN). The structure herein proposed is composed of a discrete observer and a continuous observer that are in interaction. The discrete observer reconstructs the discrete mode, by estimating both of the discrete marking and the firing vectors. Once, the active mode is obtained, the continuous...
In a previous paper we proposed a Neural Network (NN) identification approach for a class of Hybrid Dynamic System. However, although the obtained NNs represent average models that can fairly approximate a given HDS, the formulation of mathematical demonstration and/or conditions, which guarantee that the obtained NNs predect the outputs with a similar precision in all the modes still a very hard...
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