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This paper deals with discrete-time systems and considers the problem of computing an upper bound to the dwell time of switched systems ensuring a pre-specified root mean square gain (RMS). As a natural consequence of treating general systems of this particular class in terms of the order and the number of subsystems, only sufficient conditions are worked out. However, as positive features, they are...
This paper deals with the problem of state estimation of nonlinear uncertain systems described by uncertain multiple model form with unmeasurable decision variables. We propose two methods to attenuate the effect of modeling uncertainties and measurement noise on the state estimation. The first method is based, under some assumptions, on the second method of Lyapunov and L2 approach. The second method...
In this paper, a new active FTC strategy is proposed. First, it is developed in the context of linear systems and then it is extended to Takagi-Sugeno fuzzy systems. 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, the FTC controller is...
In this note, we investigate the problem of state observation and input recovery of a particular class of nonlinear systems based on multi-models with unknown input. For this particular system and a corresponding observer structure, an original set of sufficient LMI conditions are derived from the Lyapunov theory, allowing to compute the gains of the observers and assuring asymptotic convergence....
This paper presents stability conditions for Takagi-Sugeno (T-S) uncertain descriptors. These are based on a fuzzy Lyapunov approach and a non-PDC (parallel distributed compensation) control scheme. To design the fuzzy controller, the stability conditions are derived into LMIs. Moreover, in order to reduce once more the conservatism of the proposed stability conditions, a relaxation scheme, allowing...
In this paper, we propose a periodic observer design for a class of non-linear models in the discrete Takagi-Sugeno form with periodic parameters. The adopted framework is based on the Lyapunov theory and uses the linear matrix inequality (LMI) formalism. Only the stability of the estimation error is considered. The main goal is to reduce the conservatism of the stabilization conditions using some...
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