Robust H control of neutral delayed systems using descriptive discretized Lyapunov function method: Design and stability analysis

Robust control of neutral delayed systems poses a significant challenge due to their intricate dynamics and susceptibility to uncertainties. In response to this challenge, this study presents an innovative approach that combines robust control principles with the descriptive discretized Lyapunov function method. Our novel methodology enables the design of a controller capable of effectively managing disturbances, uncertainties, and inherent time delays within the system. This paper provides a comprehensive theoretical examination of our approach, encompassing the derivation of stability conditions and the establishment of robustness guarantees. To validate the effectiveness of our robust H-infinity control approach in neutral delayed systems, extensive simulations were conducted. These simulations not only confirm the efficacy of our method but also reveal marked improvements in system performance and robustness compared to existing techniques. By introducing this research, we contribute to the field of control theory by offering a practical and dependable solution for the intricate problem of robust H-infinity control in neutral delayed systems. Our approach not only enhances system stability but also fortifies its performance under challenging conditions, offering a promising avenue for applications across various domains