This paper deals with the sampled-data control problem based on state estimation for uncertain linear sampled-data systems. It is possible to show that the sampled-data control problem based on state estimation may be related with the conditions for the exponential stability of impulsive systems. Thus, a vector Lyapunov function-based approach, derived by means of a 2D time domain equivalence, is used for obtaining stability conditions of an impulsive system, and then, a solution to the observer-based control design problem is derived and expressed in terms of linear matrix inequalities. Some examples illustrate the feasibility of the proposed approach.
Bibliographical noteFunding Information:
H. Ríos gratefully acknowledges the financial support from CONACYT, Mexico270504. This work was supported in part by Conseil Region Nord-Pas de Calais (ESTIREZ), France, the Government of Russian Federation (Grant 074-U01), the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031), and ANR ROCC-SYS, France (ANR-14-CE27-0008).
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- Impulsive systems
- Observer-based control