Wyniki 1-2 spośród 2 dla zapytania: authorDesc:"Zsolt HORVÁTH"

Numerical methods for solving the Modified Filter Algebraic Riccati Equation for H-infinity filtering DOI:10.15199/48.2019.04.02

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Diesel engines have become more complex and powerful in the past decade, moreover lots of the mechanical functions are being replaced by electric and electronic devices, which are controlled by the ECU. In order to ensure the strict environment policies, these devices and the ECU as well have to make sure the reducing of fuel consumption and the emission of pollutant species. On the top of this the ECU is also equipped with reliable fault diagnose system to detect possible actuator, sensor and component failures in the engine. The subject of our investigation is a robust model-based fault detection filtering of faults in the air-path of diesel engines. When designing a H-infinity filter, the filter gain can be obtained by solution of a Modified Filter Algebraic Riccati Equation (MFARE), which is one of the central and most difficult tasks in the synthesis, see e.g. in [1], [2], [3] and [4]. One way to get there is an applying gamma-iteration, another one, which is more state of the art, is using LMIs. Several investigations of robust control have been carried out in the past two decades using LMIs, see e.g. [5], [6], [7]. As a result, it has been stated, that LMIs are effective and powerful tools for handling complex, but standard problems, such as a fast computing of global optimum within some pre-specified accuracy. As even it is to be done in our case, solving the H-infinity optimization problem to specify the filter. This paper is organized as follows: after the introduction, in Section II we shortly revisit the problem of H-infinity optimization and describe the MFARE. In Section III MFARE is converted to an LMI as an optimization problem. In Section IV an algorithm called gamma-iteration is implemented to solve the MFARE, then it is formulated as a linear objective minimization problem using LMI. Deriving the Modified Filter Algebraic Riccati Equation for robust H-infinity detection filtering The optimal H-infinity [...]

Determining the dwell time constraint for switched 􀤒􀮶 filters DOI:10.15199/48.2019.03.03

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Switched systems for purpose of nonlinear control have been studied extensively in the two past decades and useful results are now available, see e.g. [1], [2], [3], [4] and [5]. As it was stated by several authors e.g. (Liberzon and Morse in 1999, Hespana in 2004, Chen and Saif in 2004, Colaneri in 2008,) the asymptotic stability can be ensured when we switch slow enough between the subsystems, more precisely the intervals between two consecutive switchings -called dwell time-, are large enough. This problem has been specially addressed in the synthesis of switched state estimator of Luenberger type, e.g. (Prandini in 2003, Chen and Saif in 2004) and it is also a crucial part in our objective of the designing a switched linear 􀣢􀮶 fault detection filter. In earlier researches different methods have been proposed for determining the minimum dwell time, see [4], [6], [7], [8], [9] and [10]. The most commonly used and powerful algorithms, like e.g. the representation based on Kronecker products (Geromel and Colaneri, 2006) or Logic- Based Switching Algorithms (Hespana, 1998), are based on multiple Lyapunov functions and expressed in form of linear matrix inequalities (LMIs), see in [6], [7], [9], [10] and [11]. Since we deal with 􀣢􀮶 filtering, the basic Lyapunov theorem needs to be extended to cope with performance requirements such as the root mean square (RMS) property of a switched system, which corresponds normally to determining an upper bound of the minimum dwell time. To this aim, in our research we consider a method used by (Geromel and Colaneri, 2008) for 􀣢􀮶 nonlinear control and we have adopted it to the classical 􀣢􀮶 detection filtering problem, see in [12], [13], [14], [15] and [16]. More exactly, the concept of the switched 􀣢􀮶 control in [7] can be associated to the switched 􀣢􀮶 filtering problem by duality and[...]

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