کنفرانس مهندسی برق ایران

صفحه اصلی / سی و چهارمین کنفرانس بین المللی مهندسی برق

A Novel Unknown Input Observer Synthesis for 2-D Discrete-Time Varying Delay Systems under Simultaneous Disturbances: FM-II Model

نویسندگان :

Mehdi Mirshahi¹ Masoud Shafiee²

1- دانشگاه صنعتی امیرکبیر(پلی تکنیک تهران) 2- دانشگاه صنعتی امیرکبیر(پلی تکنیک تهران)

کلمات کلیدی :

Fornasini-Marchesini second model (FM-II)،Time-varying delays،Disturbance in input and output Equations،Unknown input observer (UIO)،Linear matrix inequality (LMI)

چکیده :

This paper investigates the issue of estimating state variables for a specific class of two-dimensional (2-D) discrete-time linear systems, represented by the Fornasini-Marchesini second model (FM-II) with time-varying delays. In this context, both the system dynamics and the measurement dynamics are simultaneously influenced by disturbances, posing significant challenges for accurate estimation. To address this issue, a novel approach for the design of an unknown input observer (UIO) is introduced. This approach eliminates the effects of input and output disturbances on the dynamics of the state estimation error. It formulates the existence conditions for the observer and guarantees the internal stability of the state estimation error dynamics via linear matrix inequality (LMI). Finally, to validate the proposed methodology, two practical examples are examined, including numerical simulations and heat transfer processes within chemical reactors.