
Absolute Stability of Nonlinear Control Systems
Xiao-Xin Liao(Author)
Kluwer Academic Publishers
Published on 1. January 2008
Book
Hardback
X, 178 pages
978-0-7923-1988-7 (ISBN)
Article exhausted; check for reprint
Description
As is well-known, a control system always works under a variety of accidental or continued disturbances. Therefore, in designing and analysing the control system, stability is the first thing to be considered. Classic control theory was basically limited to a discussion of linear systems with constant coefficients. The fundamental tools for such studies were the Routh-Hurwitz algebraic criterion and the Nyquist geometric criterion. However, modern control theory mainly deals with nonlinear problems. The stability analysis of nonlinear control systems based on Liapunov stability theory can be traced back to the Russian school of stability. In 1944, the Russian mathematician Lurie, a specialist in control theory, discussed the stability of an autopilot. The well-known Lurie problem and the concept of absolute stability are presented, which is of universal significance both in theory and practice. Up until the end of the 1950's, the field of absolute stability was monopolized mainly by Russian scholars such as A. 1. Lurie, M. A. Aizeman, A. M. Letov and others. At the beginning of the 1960's, some famous American mathematicians such as J. P. LaSalle, S. Lefschetz and R. E. Kalman engaged themself in this field. Meanwhile, the Romanian scholar Popov presented a well-known frequency criterion and consequently ma de a decisive breakthrough in the study of absolute stability.
More details
Series
Edition
REV ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
College/higher education
Professional and scholarly
Illustrations
bibliography, index
Dimensions
Height: 22.9 cm
Width: 15.2 cm
Weight
454 gr
ISBN-13
978-0-7923-1988-7 (9780792319887)
DOI
10.1007/978-94-017-0608-7
Schweitzer Classification
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Xiaoxin Liao | Pei Yu
Absolute Stability of Nonlinear Control Systems
Book
08/2008
2nd Edition
Springer
€106.99
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Content
1. Principal Theorems on Global Stability. 2. Autonomous Control Systems. 3. Special Control Systems. 4. Nonautonomous and Discrete Control Systems. 5. Control Systems with m Nonlinear Control Terms. 6. Control Systems described with FDE. Index.