Journal of Computational Applied Mechanics

From Data to Stability: A Novel Approach for Controlling Unknown Linear Time-Invariant Systems with Performance Enhancement

Document Type : Research Paper

Authors

Department of Computer Systems, Tallinn University of Technology, Tallinn, Estonia

Abstract

A novel data-driven control methodology is introduced in this paper, specifically designed for unknown linear time-invariant systems. Schur stability is established through the application of Linear Matrix Inequality (LMI) conditions, and system performance is improved by leveraging the concept of D-stability. Stability and performance are ensured by incorporating LMI features, with reliance solely on a finite set of collected data, eliminating the necessity for system model identification. Hence, the original performance mapping problem undergoes a transformation into a stability issue, incorporating modified system matrices. Then, the stability condition is formulated within the framework of LMI. The effectiveness of our approach is exemplified through two specific examples, highlighting the significant and impactful results obtained. These examples serve to showcase the practical application and outcomes of our methodology within the defined scope, providing a clear demonstration of its performance and efficacy in addressing relevant scenarios.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 55, Issue 3
June 2024
Pages 451-461
  • Receive Date: 01 December 2023
  • Revise Date: 23 February 2024
  • Accept Date: 23 February 2024