Robust controller synthesis is considered for disturbances generated by an uncertain filter. The uncertainties are characterized by an integral quadratic constraint (IQC) with general frequency dependent multipliers. By exploiting the problem structure originating from the fact that the uncertainty enters the disturbance filter but not the plant, it is shown how to derive LMI-synthesis conditio...

For uncertain systems described in the standard LFT form, we consider the problem of designing robust L2-gain disturbance feedforward controllers if the uncertain blocks are described by integral quadratic constraints (IQCs). For technical reasons related to the feedforward problem we work with the duals of the constraints involved in robustness analysis using IQCs. Based on an elimination of t...

We introduce the fuzzy measure as a unifying structure for modeling knowledge about an uncertain variable. We show that a large class of well established types of uncertainty representation can be modeled in this framework. A measure of entropy associated with a fuzzy measure is introduced and its manifestation for different fuzzy measures is described. The problem of uncertain decision making ...

In this paper, adaptive discrete-time low-gain integral control strategies are presented for tracking constant reference signals for infinite-dimensional discrete-time power-stable linear systems. The discrete-time results are applied in the development of adaptive sampled-data low-gain integral control of well-posed infinite-dimensional exponentially stable linear systems. Our results consider...

This paper proposes new methodologies for the design of adaptive integral-sliding mode control. A tensor product model transformation based adaptive integral-sliding mode control law with respect to uncertainties and perturbations is studied, while upper bounds on the perturbations and uncertainties are assumed to be unknown. The advantage of proposed controllers consists in having a dynamical ...

This paper addresses a problem of set-valued state estimation for uncertain continuous-time systems via limited capacity communication channels. The uncertainty of the systems satisfies an integral quadratic constraint. Using results from the robust Kalman filtering, we design a coder/decoder-estimator pair that allows us to construct set-valued state estimate of the systems via communication c...

In this paper, a Stieltjes integral approximation method for uncertain variational inequality problem (UVIP) is studied. Firstly, variables are introduced on the basis of inequality. Since based nonadditive measures, there usually no density function. Secondly, expected value model UVIP established after discretized by integral. Furthermore, gap function constructed to transform into an constra...

in this paper, a new robust controller based on geometric homogeneity and adaptive integral sliding mode is proposed for a class of second order systems. the upper bound of the system disturbances is not required. fully unknown parameters have been considered in the described model and its finite–time convergence to zero equilibrium point is proved. moreover, the controller is developed in the ...