LMI-Based Analysis and Stabilization of Nonlinear Descriptors with Multiple Delays via Delayed Nonlinear Controller Schemes | Zendy

Javier Adrián Romero-Vega | Zendy; Raúl VillafuerteSegura | Zendy; Víctor Estrada-Manzo | Zendy

Open Access

LMI-Based Analysis and Stabilization of Nonlinear Descriptors with Multiple Delays via Delayed Nonlinear Controller Schemes

Author(s) -

Javier Adrián Romero-Vega,

Raúl VillafuerteSegura,

Víctor Estrada-Manzo

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6646231

Subject(s) - control theory (sociology) , nonlinear system , bounding overwatch , controller (irrigation) , mathematics , convex optimization , linear matrix inequality , representation (politics) , convergence (economics) , convex combination , actuator , regular polygon , mathematical optimization , computer science , control (management) , artificial intelligence , physics , geometry , quantum mechanics , politics , law , political science , agronomy , economics , biology , economic growth

This paper presents a convex approach for nonlinear descriptor systems with multiple delays; it allows designing delayed nonlinear controllers such that the closed-loop system holds exponential estimates for convergence. The proposal takes advantage of an equivalent convex representation of the given descriptor model together with Lyapunov-Krasovskii functionals; thus, the conditions are in the form of linear matrix inequalities, which can be efficiently solved by commercially available software. To avoid possible saturation in the actuators, conditions for bounding the control input are also given. Numerical and academic examples illustrate the performance of the proposal.

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