2008/10/04 by Iasson Karafyllis, Costas Kravaris, Karafyllis, Iasson +3 · 1 citation
Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Control and Dynamics of Mobile Robots #FOS: Mathematics #Guidance and Control Systems #Optimization and Control (math.OC) #math.OC
paper · pdf · doi:10.48550/arxiv.0810.0776
26 pages, 1 figure
arxiv created 2008/10/04 · openalex publication_date 2008/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The notion of the relaxed Robust Control Lyapunov Function (relaxed RCLF) is introduced and is exploited for the design of robust feedback stabilizers for nonlinear systems. Particularly, it is shown for systems with input constraints that relaxed RCLFs can be easily obtained, while RCLFs are not available. Moreover, it is shown that the use of relaxed RCLFs usually results to different feedback designs from the ones obtained by the use of the standard RCLF methodology. Using the relaxed RCLFs feedback design methodology, a simple controller that guarantees robust global stabilization of a perturbed chemostat model is provided.