The doubly fed asynchronous machine is among the most used electrical machines due to its low cost, simplicity of construction and maintenance [1]. In this paper, we present a method to synthesize a robust controller of doubly fed asynchronous machine which is the main component of the wind turbine system (actually the most used model [2]), indeed: there is different challenges in the control o...

Solutions to the optimal H , and L2 L, unbiased reduced-order filtering problems are obtained in terms of Linear Matrix Inequalities (LMIs). The order of the optimal filter is equal to the number of measurements. Both continuous-time and discrete-time results are presented. An explicit parametrization of all optimal unbiased filters is provided in terms of a free contractive matrix.

This paper is devoted to solving the problem of stabilising an uncertain discrete linear repetitive process, where the model uncertainty is a result of the variable along the pass uncertainty of the parameters. The analysis is applied to the engineering example of the material rolling process, which can be modelled as a repetitive process (Rogers and Owens, 1992; Gałkowski et al., 2003b). Due t...

In this paper, we consider the problem of decentralized robust guaranteed cost control for T-S fuzzy interconnected systems with time delays and uncertain parameters. The sufficient conditions are given, under which we can design decentralized robust guaranteed cost controllers to provide the stability of the closed-loop system and guarantee an adequate level of performance for all admissible u...

In this paper, the simultaneous stabilization problem is considered using the matrix inequality approach. Some necessary and sufficient conditions for simultaneous stabilizability of r strictly proper multi-input/multi-output (MIMO) plants via static output feedback and state feedback are obtained in the form of coupled ARI’s. It is shown that any such stabilizing feedback gain is the solution ...

in this article, we characterize the involutiveness of the linear combination of the forma1a1 +a2a2 when a1, a2 are nonzero complex numbers, a1 is a quadratic or tripotent matrix,and a2 is arbitrary, under certain properties imposed on a1 and a2.

This paper investigates the construction of guaranteeing cost dynamic output feedback controller for linear discrete-time delay systems with time-varying parameter uncertainties and with exogenous disturbances. A necessary and sufficient condition for a controller to have the guaranteeing cost property is given by a nonlinear matrix inequality. As a sufficient condition, a linear matrix inequal...