Control of switched dynamical system

Abstract

quotThis thesis delves into the realm of control theory, placing a particular emphasis on Switched Dynamical Systems (SDSs) due to their wide-ranging applicability across various fields. SDS consists of multiple subsystems or modes, each displaying distinct dynamic behaviors that are governed by a switching mechanism orchestrating transitions between these modes. The inherent complexity and mode-switching dynamics of such systems demand specialized control strategies to ensure stability, performance, and resilience. The central aim of this research is to investigate the control of SDS and explore effective techniques and algorithms for stabilizing and regulating these systems. The focus is primarily on power electronics converters such as boost and buck converters, where a boundary-based control scheme is employed. This tailored scheme is designed to regulate the output voltage, mitigate disturbances, and achieve desirable transient and steady-state performance, thereby facilitating seamless transitions between different control modes. newlinecontrol scheme when applied to boost and buck converters. It examines various performance metrics, encompassing steady-state precision, transient behavior, resilience to disruptions, and control effort. By conducting an extensive comparison with cutting-edge techniques, this investigation offers valuable perspectives on the merits and limitations of the proposed scheme. This contribution advances comprehension of its capabilities and suitability within real-world converter systems. newlineFurthermore, this research directs its attention toward assessing the feasibility of the proposed control scheme by conducting an exhaustive stability analysis. Recognizing the critical importance of stability in maintaining the desired performance across diverse operational scenarios, the control design is deeply rooted in stability principles. The ensuing analysis goes a step further to scrutinize the control scheme s robustness, offering invaluable insights into its overall efficacy. newlineIn order to assess t