Robust Stabilization of Interval Plants with Uncertain Time-Delay Using the Value Set Concept

Pedro Zamora, Alejandro Arceo, Noé Martínez, Gerardo Romero and Luis E. Garza
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Pedro Zamora: Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
Alejandro Arceo: Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
Noé Martínez: Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
Gerardo Romero: Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
Luis E. Garza: Facultad de Ciencias, Universidad de Colima, Colima 28045, Mexico

Mathematics, 2021, vol. 9, issue 4, 1-19

Abstract: This paper considers the robust stabilization problem for interval plants with parametric uncertainty and uncertain time-delay based on the value set characterization of closed-loop control systems and the zero exclusion principle. Using Kharitonov’s polynomials, it is possible to establish a sufficient condition to guarantee the robust stability property. This condition allows us to solve the control synthesis problem using conditions similar to those established in the loopshaping technique and to parameterize the controllers using stable polynomials constructed from classical orthogonal polynomials.

Keywords: robust stabilization; interval plants; time-delay systems; parametric uncertainty; value set; zero exclusion condition; orthogonal polynomials; linear system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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