2019/08/29 by Atiye Alaeddini, Kristi A. Morgansen, Alaeddini, Atiye +3
Engineering · #Advanced Control Systems Optimization #Control Systems and Identification #FOS: Electrical engineering #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1908.11329
openalex publication_date 2019/08/29 · openalex created_date 2022/07/19 · openalex updated_date 2026/07/28
This paper is concerned with the design of an augmented state feedback\ncontroller for finite-dimensional linear systems with nonlinear observation\ndynamics. Most of the theoretical results in the area of (optimal) feedback\ndesign are based on the assumption that the state is available for measurement.\nIn this paper, we focus on finding a feedback control that avoids state\ntrajectories with undesirable observability properties. In particular, we\nintroduce an optimal control problem that specifically considers an index of\nobservability in the control synthesis. The resulting cost functional is a\ncombination of LQR-like quadratic terms and an index of observability. The main\ncontribution of the paper is presenting a control synthesis procedure that on\none hand, provides closed loop asymptotic stability, and addresses the\nobservability of the system--as a transient performance criteria--on the other.\n