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Design and Analysis of LMI for Stability and Static Output Feedback Control of Discrete-Time Matrix Sylvester System

L. N. Charyulu Rompicharla*, Venkata Sundaranand Putcha**, G. V. S. R. Deekshitulu***

* Research Scholar, Jawaharlal Nehru Technological University Kakinada, A.P, India.

** Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, India.

*** Department of Mathematics, JNTU College of Engineering, Kakinada, Andhra Pradesh, India.

Periodicity:January - June'2025
DOI : https://doi.org/10.26634/jmat.14.1.21780

Abstract

This paper deals with the design of static output feedback (SOF) control for the discrete matrix sylvester system. The design principles of SOF formulation based on the linear matrix inequality (LMI) are expressed in terms of Bilinear Matrix Inequalities (BMIs). Non-convex stability conditions that emerge in the design of SOF control are to be transferred into convex stability conditions by using suitable techniques. This paper presents the results that are necessary to address the convexity problem. This paper also presents a novel approach for the transformation of BMI constraints into LMIs. The developed theory and established results are verified and validated by numerical simulations.

Keywords

Control, Design, Discrete-time Systems, Kronecker Product, Linear Matrix Inequality (LMI), Sylvester System, Stability, 2020 Mathematics Subject Classification, 93A06, 93D05, 93C55.

How to Cite this Article?

Rompicharla, L. N. C., Putcha, V. S., and Deekshitulu, G. V. S. R. (2025). Design and Analysis of LMI for Stability and Static Output Feedback Control of Discrete-Time Matrix Sylvester System. i-manager’s Journal on Mathematics, 14(1), 20-32. https://doi.org/10.26634/jmat.14.1.21780

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Design and Analysis of LMI for Stability and Static Output Feedback Control of Discrete-Time Matrix Sylvester System

Abstract

Keywords

How to Cite this Article?

References

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