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Content available Stability margins for generalized fractional two-dimensional state space models
Salmi Souad, Bouagada Djillali
Archives of Control Sciences
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2024
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Vol. 34, No. 1
23--37
EN
In this paper, a new class of bidimensional fractional linear systems is considered. The stability radius of the disturbed system is described according to the H∞ norm. Sufficient conditions to ensure the stability margins of the closed-loop system are offered in terms of linear matrix inequalities. The concept of D stability region for these systems is also considered. Examples are provided to verify the applicability of our main result.
2
Minimum energy control of degenerate Cauchy problem with skew-Hermitian pencil
Benaoued Meriem, Bouagada Djillali
Journal of Applied Analysis
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2022
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Vol. 28, nr 2
251--261
EN
The present research paper deals with the effectiveness of the control of an infinite-dimensional degenerate Cauchy problem with variable operator coefficients, skew-Hermitian pencil and bounded input condition. This study explores the minimum energy control problem. The investigation follows a set of methods to examine the procedure for developing a new result to solve the problem. Indeed, by the use of decomposition transformation of the considered system and the application of the Gramian operator, the formula of the process for controlling the system with minimum energy is obtained. Afterwards, a procedure to compute the optimal input for minimizing the performance index is then proposed. In a nutshell, the obtained results indicate that optimal control for minimizing the performance index ensures the solution of the minimum energy control of an infinite-dimensional degenerate Cauchy problem.
3
Content available Admissibility tests for multidimensional singular fractional continuous-time models
Benyettou Kamel, Bouagada Djillali
Archives of Control Sciences
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2022
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Vol. 32, No. 3
607--625
EN
In this paper we present and discuss a new class of singular fractional systems in a multidimensional state space described by the Roesser continuous-time models. The necessary and sufficient conditions for the asymptotic stability and admissibility by the use of linear matrix inequalities are established. All the obtained results are simulated by some numerical examples to show the applicability and accuracy of our approach.
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