Stability and Robust Control of Time-Varying Systems using Linear Matrix Inequalities | Zendy

Marco A. Travassos | Zendy; Rodrigo Cardim | Zendy; Marcelo C. M. Teixeira | Zendy; Flavio A. Faria | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability and Robust Control of Time-Varying Systems using Linear Matrix Inequalities

Author(s) -

Marco A. Travassos,

Rodrigo Cardim,

Marcelo C. M. Teixeira,

Flavio A. Faria

Publication year - 2025

Publication title -

ieee access

Language(s) - English

Resource type - Magazines

SCImago Journal Rank - 0.587

H-Index - 127

eISSN - 2169-3536

DOI - 10.1109/access.2025.3616053

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

This article provides a theoretical contribution by presenting a detailed study on the application of Linear Matrix Inequalities (LMIs) in time-varying systems. Specifically, it addresses a set of LMI conditions that ensure the stability of such systems. To derive these conditions, Lyapunov’s Direct Method is employed, and the stability is characterized using class- K functions. The parallel distributed compensation technique is utilized to guarantee stability for both open-loop and closed-loop systems. Furthermore, the study establishes sufficient LMI conditions for global exponential stability in linear time-varying systems and presents exponential stability conditions for nonlinear time-varying systems. Finally, the robust control method is validated through the controller design of a parametrically excited pendulum. In addition, a comparative analysis between the robust method and the control method based on the Lyapunov–Floquet transformation is presented.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research