Hybrid L1 Adaptive Control: Applications of Fuzzy Modeling, Stochastic Optimization and Metaheuristics

This book discusses the design of hybrid control strategies for practical systems with time-varying uncertainties, disturbances, nonlinearities, unknown parameters, unmodelled dynamics, delays, etc. It hybridizes adaptive controllers with other strategies, such as stochastic optimization and fuzzy logic, to improve control performance. The proposed method exhibits satisfactory exploration and exploitation capabilities and is validated through simulation and experimental case studies.

Format: Hardback
Length: 234 pages
Publication date: 02 March 2022
Publisher: Springer Nature Switzerland AG

This comprehensive book delves into the intricate realm of designing hybrid control strategies for practical systems grappling with a multitude of challenges, including time-varying uncertainties, disturbances, nonlinearities, unknown parameters, unmodelled dynamics, delays, and more. By amalgamating the strengths of various controllers, the author aims to achieve superior control performance for these complex systems. Recognizing the benefits of adaptive controllers in addressing unknown constant, time-varying uncertainties, and time-varying disturbances, a variant of adaptive controller, namely L1 adaptive controller, is seamlessly hybridized with other strategies. To optimize the parameter settings of the basic L1 adaptive controller, stochastic optimization techniques are integrated, ensuring stability and convergence through spectral radius analysis. The proposed method exhibits remarkable exploration and exploitation capabilities. Furthermore, this book sheds light on tackling nonlinearities alongside uncertainties and disturbances by hybridizing fuzzy logic with L1 adaptive controller. The performances of the designed controllers are compared with different control methodologies to validate their effectiveness. The overall stability of the nonlinear system with the designed controller is guaranteed through the use of fuzzy Lyapunov functions, preserving the zonal behavior of the system. This fuzzy PDC-L1 adaptive controller is highly efficient in addressing nonlinearities while effectively mitigating unknown constant, time-varying uncertainties, and time-varying disturbances. Additionally, the book includes four simulation case studies to substantiate the practicality and effectiveness of the designed controllers. To demonstrate the practicality and effectiveness of the proposed methods, this book serves as a valuable resource for researchers, engineers, and practitioners in the field of control systems.

Weight: 582g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030971014
Edition number: 1st ed. 2022