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The problem of H∞ control design for vibration reduction of a base isolated structure with limited wireless communication capacity is studied in this paper. The network under consideration is subjected to measurement quantization, signal transmission delay, and data packet dropout, which appear typically in a network environment. Based on Lyapunov-Krasovskii functional (LKF) theory, some delay-range-dependent...
In this paper, a nonlinear H∞ control is developed for active mass damper systems subject to external perturbation. This robust controller is composed by the sum of a linear term plus a chattering component. The linear term is designed using linear matrix inequality (LMI) theory. Then, the chattering term is added to improve controller performance. Lyapunov theory is invoked to validate our control...
Sufficient conditions are given for the stability of linear switched systems with dwell time and with polytopic type parameter uncertainty. A Lyapunov function, in quadratic form, which is non-increasing at the switching instants is assigned to each subsystem. During the dwell time, this function varies piecewise linearly in time after switching occurs. It becomes time invariant afterwards. This function...
The problem of active fault tolerant control (FTC) design with reconfiguration mechanism for linear systems with external disturbances is addressed. The solution is based on the supervisory control approach. Starting from the well known in FTC literature conditions for independent design of fault detection, isolation and fault compensation systems we propose new set of united conditions and the computational...
This paper proposes a fault detection method for hysteretic base-isolation systems. One of the key contributions of this work is a Lyapunov-based restoring force observer that leads to the design of a robust fault detection scheme. The different fault types considered are stiffness and damping variations in the system. The proposed fault estimation method provides a direct estimate of the size and...
The paper addresses the problem of designing a robust fault detection filter (RFDF) for a class of nonlinear descriptor systems whose nonlinear term are globally Lipschitz and linear term described by a linear parameter varying (LPV) form. The influence of perturbations on the residuals is minimized using the H∞ norm while the sensitivity performance is guaranteed using the H∞ index. Based on the...
In this paper we consider general autonomously controlled production networks. A production network consists of geographically distributed plants, which are connected by transport routes such that transportation times (time-delays) have to be taken into account. In autonomous controlled production networks logistic objects (e.g., parts, orders) route themselves through a network based on local information...
In this paper, the problem of robust synchronization and fault detection for a class of master-slave systems subjected to some nonlinear perturbations and mixed neutral and discrete time-varying delays is investigated based on an H∞ performance condition. By introducing a descriptor technique, using Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions...
This paper proposes two observer-based FDI strategies for nonlinear systems represented by a particular class of multiple model using heterogeneous submodels. The structure of this interesting multiple model is firstly presented in order to design two kinds of state observers. The first observer, known as proportional observer (PO), is an extension of the classic Luenberger observer, in this way,...
This paper discusses the problem of designing the sliding-mode-based sensor faults estimation in a general structure suitable on the actuator as well as sensor faults detection and estimation. The problem addressed is indicated as an unified algebraic approach giving sufficient conditions of solution. Lyapunov inequality implying from two linear matrix inequalities are outlined to posses a stabile...
In this paper, an active FTC scheme is proposed. First, it is developed in the context of linear systems and then it is extended to non-linear systems with the differential mean value theorem. The key contribution of the proposed approach is an integrated FTC design procedure of the fault identification and fault-tolerant control schemes. Fault identification is based on the use of an observer. While,...
This paper describes the results of an application of a PDC type T-S fuzzy control to synchronous machine. The non linear mathematical model for the proposed synchronous machine adopted in this work is described by T-S continuous fuzzy models. Next, the control law for T-S fuzzy control based on PDC design is studied. The stability and the stabilisation of the whole closed-loop model are investigated...
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