On the Finite Time Stabilization Via Robust Control for Uncertain Disturbed Systems

This paper deals with the finite-time stabilization problem for a class of uncertain disturbed systems using linear robust control. The proposed algorithm is designed to provide the robustness of a linear feedback control scheme such that system trajectories arrive at a small-size attractive set aro...

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Bibliographic Details
Published in:International journal of applied mathematics and computer science 2023-03, Vol.33 (1), p.71-82
Main Authors: Ordaz, Patricio, Alazki, Hussain, Sánchez, Bonifacio, Ordaz-Oliver, Mario
Format: Article
Language:English
Subjects:
Algorithms
Closed loops
Control systems
Controllers
Design
Feedback control
finite time bounded stability
Inequality
Linear matrix inequalities
Mathematical analysis
Optimization
Robust control
robust stabilization
Stabilization
Systems stability
Trajectories
ultimate bound minimization
uncertain disturbed systems
Unmanned aerial vehicles
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Summary:This paper deals with the finite-time stabilization problem for a class of uncertain disturbed systems using linear robust control. The proposed algorithm is designed to provide the robustness of a linear feedback control scheme such that system trajectories arrive at a small-size attractive set around an unstable equilibrium in a finite time. To this end, an optimization problem with a linear matrix inequality constraint is presented. This means that the effects of external disturbances, as well as matched and mismatched uncertain dynamics, can be significantly reduced. Finally, the performance of the suggested closed-loop control strategies is shown by the trajectory tracking of an unmanned aerial vehicle flight.
ISSN:1641-876X
2083-8492
DOI:10.34768/amcs-2023-0006