Advances in Observer Design and Observation for Nonlinear Systems: Fundamentals and Applications

This book provides methods for designing observers for different types of systems, with examples of applications in hydraulic and renewable energy systems.

Format: Paperback / softback
Length: 193 pages
Publication date: 03 February 2023
Publisher: Springer Nature Switzerland AG

This comprehensive book delves into a wide array of methods for designing diverse types of observers, encompassing the Luenberger observer, unknown input observers, discontinuous observers, sliding mode observers, observers for impulsive systems, observers for nonlinear Takagi-Sugeno fuzzy systems, and observers for electrical machines. To illustrate the practical applications of these observer designs, two real-world systems, namely a hydraulic process system and a renewable energy system, are explored in detail. By employing these observer-based techniques, engineers and researchers can effectively enhance the performance and stability of complex systems, ensuring their accurate and reliable operation in a variety of applications.

Introduction:
Observers are fundamental components in the control theory of systems, as they play a crucial role in the estimation and tracking of system states. They are used to monitor the behavior of a system and provide feedback to control systems, enabling them to achieve desired performance objectives. In this book, we will explore a wide range of methods for designing different types of observers, including the Luenberger observer, unknown input observers, discontinuous observers, sliding mode observers, observers for impulsive systems, observers for nonlinear Takagi-Sugeno fuzzy systems, and observers for electrical machines.
Types of Observers:
The Luenberger observer is a widely used observer design that is particularly effective in the tracking of systems with unknown inputs. It is based on the concept of the Lyapunov function and utilizes the state-space representation of the system to estimate the unknown inputs. The unknown input observer is designed to handle systems with unknown inputs that may be time-varying or unpredictable. It uses a combination of state estimation and feedback control to estimate the unknown inputs and achieve the desired tracking performance.
Discontinuous observers are used in systems where the state variable may jump abruptly between different states. They are designed to handle such transitions by tracking the system states and providing feedback to control systems to ensure smooth and stable operation. Sliding mode observers are used in systems with uncertainties and disturbances. They are designed to achieve fast tracking of the system states by switching between different modes of operation based on the system behavior.
Observers for impulsive systems are used in systems where the system behavior is characterized by sudden changes or impulses. They are designed to handle such transitions by tracking the system states and providing feedback to control systems to ensure stable and accurate operation. Observers for nonlinear Takagi-Sugeno fuzzy systems are used in systems with complex and nonlinear dynamics. They are designed to estimate the unknown system states and achieve the desired tracking performance by utilizing the Takagi-Sugeno fuzzy model.
Observers for electrical machines are used in the control of electrical systems, such as motors, generators, and power systems. They are designed to monitor the electrical states of the system and provide feedback to control systems to achieve desired performance objectives.
Applications:
To demonstrate the practical applications of these observer designs, two real-world systems, namely a hydraulic process system and a renewable energy system, are explored in detail. The hydraulic process system is a complex system that is used in various industrial applications, such as oil and gas production, manufacturing, and transportation. It involves the control of pumps systems, such as pumps, valves, and motors, to achieve desired flow rates, pressures, and temperatures.
The renewable energy system is a system that generates electricity from renewable sources, such as solar, wind, and hydroelectric power. It involves the control of systems, such as inverters, generators, and batteries, to achieve desired power output and energy storage.
In both cases, the observer designs are used to enhance the performance and stability of the systems. The Luenberger observer is used to estimate the unknown inputs in the hydraulic process system, while the unknown input observer is used to handle the unpredictable and time-varying inputs in the renewable energy system. The discontinuous observer is used to handle the abrupt energy storage in the renewable energy system, while the sliding mode observer is used to achieve fast tracking of the power output in the renewable energy system.
The observers for impulsive systems are used to handle the sudden changes in the power output of the renewable energy system, while the observers for nonlinear Takagi-Sugeno fuzzy systems are used to estimate the unknown system states and achieve the desired tracking performance.
In conclusion, this comprehensive book provides a thorough exploration of methods for designing different types of observers, including the Luenberger observer, unknown input observer, discontinuous observer, sliding mode observer, observers for impulsive systems, observers for nonlinear Takagi-Sugeno fuzzy systems, and observers for electrical machines. By employing these observer-based techniques, engineers and researchers can effectively enhance the performance and stability of complex systems, ensuring their accurate and reliable operation in a variety of applications.

Weight: 320g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030927332
Edition number: 1st ed. 2022