Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering

This book provides a thorough exploration of control and filtering challenges in discrete-time switched linear systems, particularly focusing on time-dependent switching signals.

This book delves into the fundamental control and filtering synthesis challenges faced by discrete-time switched linear systems influenced by time-dependent switching signals. It offers a comprehensive examination of the underlying principles that govern these systems, making it an essential resource for researchers and practitioners alike. The initial chapter sets the stage by presenting the background and motivations for studying switched systems, defining key concepts related to time-dependent switching signals, and reviewing existing literature on control and filtering methodologies.

In subsequent chapters, the author introduces the multiple Lyapunov-like functions (MLFs) approach, which serves as a foundation for developing various methodologies aimed at addressing stability and stabilization issues. These methodologies also consider performance metrics such as “l”2-gain performance and tube-based robustness against “l”∞ disturbances. Chapters 4 and 5 focus on control and filtering problems under conditions of polytopic uncertainties and measurable time-varying parameters, exploring different disturbance scenarios.

The book further tackles the complexities of asynchronous switching, where time delays exist between the activation of the system mode and the corresponding controller or filter design. This topic is thoroughly examined in Chapter 6, while Chapter 7 addresses systems with various time delays under typical time-dependent switching signals. Overall, Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering is a significant contribution to the field, providing both theoretical insights and practical methodologies for tackling these intricate systems.