Linear Algebra-Based Multivariable Controller Design for Gas Turbine Machines with State-Derivative Feedback
Abstract
This paper presents a linear algebra-based control algorithm for multivariable gas turbine systems using matrix polynomial theory and the Kronecker product to assign block roots (i.e., block eigenvectors with prescribed latent structure). State and state-derivative feedback strategies are investigated and validated through simulations on an industrial gas turbine machine. The proposed method enables direct assignment of block roots governing closed-loop stability and transient response, while block eigenvectors shape the dynamic behavior of key turbine variables. Applicability of the approach requires block controllability and/or block observability, ensuring analytical transparency, design flexibility, and effectiveness for multivariable gas turbine control.
Fields of Study & Subjects
Control Systems and Identification
Power System Optimization and Stability
Advanced Aircraft Design and Technologies
Publication details
- Journal / source
- Machines
- Publisher
- MDPI AG
- Volume
- 14
- Issue
- 2
- Pages
- 169–169
- Publication date
- 2 February 2026
- Language
- EN