2018/07/19 by James Dannatt, Dannatt, James, Ian R. Petersen +2
Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #FOS: Mathematics #Iterative Learning Control Systems #Optimization and Control (math.OC) #Piezoelectric Actuators and Control #math.OC
paper · pdf · doi:10.48550/arxiv.1807.07212
arxiv created 2018/07/19 · openalex publication_date 2018/07/19 · arxiv updated 2018/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper presents a method for the synthesis of negative imaginary closed-loop systems with a prescribed degree of stability under the assumption of full state feedback. The approach extends existing work by using a perturbation method to ensure a closed-loop system that has both the negative imaginary property and a prescribed degree of stability. This approach involves the real Schur decomposition of a matrix followed by the solution to two Lyapunov equations which provides computational advantages over alternate state feedback synthesis techniques. Also, some counterexamples are presented which clarify the perturbation properties of strictly negative imaginary systems. Finally, an illustrative example demonstrates the approach.