Observer-based Control for a Tumor Growth Model with Delayed Output Measurement

This paper addresses the design of control laws for systems with delayed outputs. We first propose a new observer design technique that employs a dynamic extension method to transform a system with delayed nonlinear outputs into one with linear outputs and a delay-dependent integral term in the dynamic process. We then introduce a novel controller-based observer for nonlinear systems with delayed outputs, specifically tackling challenges related to sensor latency and communication delays. Our approach is applied to a tumor growth model, demonstrating its effectiveness in stabilizing the system.