Stability Analysis of 2D Discrete Linear System Described by the Fornasini-Marchesini Second Model with Actuator Saturation | Zendy

Richa Negi | Zendy; Haranath Kar | Zendy; Shubhi Purwar | Zendy

Open Access

Stability Analysis of 2D Discrete Linear System Described by the Fornasini-Marchesini Second Model with Actuator Saturation

Author(s) -

Richa Negi,

Haranath Kar,

Shubhi Purwar

Publication year - 2012

Publication title -

isrn computational mathematics

Language(s) - English

Resource type - Journals

ISSN - 2090-7842

DOI - 10.5402/2012/847178

Subject(s) - control theory (sociology) , stability (learning theory) , lyapunov function , mathematics , saturation (graph theory) , linear system , actuator , controller (irrigation) , computer science , control (management) , mathematical analysis , nonlinear system , artificial intelligence , physics , machine learning , quantum mechanics , combinatorics , agronomy , biology

This paper proposes a novel antiwindup controller for 2D discrete linear systems with saturating controls in Fornasini-Marchesini second local state space (FMSLSS) setting. A Lyapunov-based method to design an antiwindup gain of 2D discrete systems with saturating controls is established. Stability conditions allowing the design of antiwindup loops, in both local and global contexts have been derived. Numerical examples are provided to illustrate the applicability of the proposed method.

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