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A number of quadratic constraints are derived for an uncertain real parameter which is slowly time-varying and periodically resetting. A finite-horizon version of the swapping lemma and a finite dimensional condition for computing the norm of related time-varying finite-horizon systems are derived.
This paper is concerned with the problem of Hinfin filter design for a class of linear uncertain systems with time-varying delay. The uncertainty parameters are supposed to be time-varying, unknown, but bounded, which appear affinely in the matrices of system model. Our proposed robust Hinfin filter is a switching-type filter, in which the filter parameters are tuned in a switching manner via a switching...
This paper presents an extension of the L1 adaptive output feedback controller to multi-input multi-output (MIMO) systems in the presence of nonlinear time-varying uncertainties without restricting the rate of their variation. As compared to earlier results in this direction, a new piece-wise continuous adaptive law is introduced along with a low-pass filtered control signal that allows for achieving...
In this article, a robust linear controller design in time domain is presented for linear fractional-order systems with nonlinear model uncertainties. The Gronwall-Bellman lemma is employed to investigate the robust stability conditions which are based on the upper norm-bounds of the uncertainties. The parameters of a dynamic controller are selected to satisfy the requirements of robust stability...
A multi-model controller based on the neural network sets is proposed for the time-variant nonlinear systems with uncertainty and time-delay in this paper. The local-models and the local-controllers are built to neural network sets. The output of the controller is the weighted sum of the local-controllers' outputs, and by this way the smooth-switch among the local-models is realized. The robustness...
This paper deals with the problem of output feedback robustly passive control for parameter uncertain systems with time-varying delay. The parameter uncertainties are norm-bounded. We provide a dynamic output feedback controller that guarantees the closed-loop systems strongly robustly stable with strictly passive for all admissible uncertainties. Delay-dependent sufficient conditions for the existence...
An adaptive backstepping neural controller design is presented for a class of nonaffine nonlinear system with mismatched uncertainties. By applying backstepping design strategy and online approaching uncertainties with fully tuned radial basis function (RBF) neural networks (NNs), the adaptive tuning rules are derived from the Lyapunov stability theory. A nonlinear tracking differentiator is introduced...
In this paper we consider the use of linear periodic controllers to solve a tracking problem in the face of time-varying multiplicative gain uncertainty. The class of signals to be tracked is modelled by a (stable) filter on the reference input.We show, under the technical assumption that the relative degree of the filter is greater than the plant, that there exists a linear periodic controller which...
This paper provides an alternative approach to solve model reference adaptive control problems of uncertain processes. Plants in this manuscript are described as polytopic LPV systems in fixed polytopes defined by convex hulls of extreme systems, and uncertainties of system parameters correspond to those extreme systems. It is shown that control inputs are composed of weighted sums of control signals...
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