TY - GEN N2 - This book is about algebraic and differential methods, as well as fractional calculus, applied to diagnose and reject faults in nonlinear systems, which are of integer or fractional order. This represents an extension of a very important and widely studied problem in control theory, namely fault diagnosis and rejection (using differential algebraic approaches), to systems presenting fractional dynamics, i.e. systems whose dynamics are represented by derivatives and integrals of non-integer order. The authors offer a thorough overview devoted to fault diagnosis and fault-tolerant control applied to fractional-order and integer-order dynamical systems, and they introduce new methodologies for control and observation described by fractional and integer models, together with successful simulations and real-time applications. The basic concepts and tools of mathematics required to understand the methodologies proposed are all clearly introduced and explained. Consequently, the book is useful as supplementary reading in courses of applied mathematics and nonlinear control theory. This book is meant for engineers, mathematicians, physicists and, in general, to researchers and postgraduate students in diverse areas who have a minimum knowledge of calculus. It also contains advanced topics for researchers and professionals interested in the area of states and faults estimation. DO - 10.1007/978-3-030-62094-3 DO - doi AB - This book is about algebraic and differential methods, as well as fractional calculus, applied to diagnose and reject faults in nonlinear systems, which are of integer or fractional order. This represents an extension of a very important and widely studied problem in control theory, namely fault diagnosis and rejection (using differential algebraic approaches), to systems presenting fractional dynamics, i.e. systems whose dynamics are represented by derivatives and integrals of non-integer order. The authors offer a thorough overview devoted to fault diagnosis and fault-tolerant control applied to fractional-order and integer-order dynamical systems, and they introduce new methodologies for control and observation described by fractional and integer models, together with successful simulations and real-time applications. The basic concepts and tools of mathematics required to understand the methodologies proposed are all clearly introduced and explained. Consequently, the book is useful as supplementary reading in courses of applied mathematics and nonlinear control theory. This book is meant for engineers, mathematicians, physicists and, in general, to researchers and postgraduate students in diverse areas who have a minimum knowledge of calculus. It also contains advanced topics for researchers and professionals interested in the area of states and faults estimation. T1 - Fault-tolerant control and diagnosis for interger and fractional-order systems :fundamentals of fractional calculus and differential algebra with real-time applications / DA - 2021. CY - Cham : AU - Martínez-Guerra, Rafael. AU - Meléndez-Vázquez, Fidel, AU - Trejo-Zúñiga, Iván, VL - v. 328 CN - QA247.4 PB - Springer, PP - Cham : PY - 2021. ID - 1432945 KW - Differential algebra. KW - Fractional calculus. KW - Nonlinear systems. KW - Fault tolerance (Engineering) KW - Algèbre différentielle. KW - Dérivées fractionnaires. KW - Systèmes non linéaires. KW - Tolérance aux fautes (Ingénierie) SN - 9783030620943 SN - 3030620948 SN - 9783030620950 SN - 3030620956 SN - 9783030620967 SN - 3030620964 TI - Fault-tolerant control and diagnosis for interger and fractional-order systems :fundamentals of fractional calculus and differential algebra with real-time applications / LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-62094-3 UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-62094-3 ER -