000 04996nam a22004935i 4500
001 978-3-642-32144-3
003 DE-He213
005 20140220082852.0
007 cr nn 008mamaa
008 120814s2013 gw | s |||| 0|eng d
020 _a9783642321443
_9978-3-642-32144-3
024 7 _a10.1007/978-3-642-32144-3
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aYang, Chunyu.
_eauthor.
245 1 0 _aStability Analysis and Design for Nonlinear Singular Systems
_h[electronic resource] /
_cby Chunyu Yang, Qingling Zhang, Linna Zhou.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXII, 212 p. 32 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Control and Information Sciences,
_x0170-8643 ;
_v435
505 0 _aPractical stability analysis and synthesis for nonlinear singular systems                         -- 3 Strongly absolute stability analysis for Lur’e singular -- 4 Input-to-state stability analysis and design for Lur’e singular systems -- 5 Observer design for nonlinear singular systems                                            -- 6 Absolute stability of Lur’e singularly perturbed systems                                    -- 7 Multi-objective control for T-S fuzzy singularly perturbed systems. 4 Input-to-state stability analysis and design for Lur’e singular systems -- 5 Observer design for nonlinear singular systems                                            -- 6 Absolute stability of Lur’e singularly perturbed systems                                    -- 7 Multi-objective control for T-S fuzzy singularly perturbed systems.
520 _aSingular systems which are also referred to as descriptor systems, semi-state systems, differential- algebraic systems or generalized state-space systems have attracted much attention because of their extensive applications in the Leontief dynamic model, electrical and mechanical models, etc. This monograph presented up-to-date research developments and references on stability analysis and design of nonlinear singular systems. It investigated the problems of practical stability, strongly absolute stability, input-state stability and observer design for nonlinear singular systems and the problems of absolute stability and multi-objective control for nonlinear singularly perturbed systems by using Lyapunov stability theory, comparison principle, S-procedure and linear matrix inequality (LMI), etc. Practical stability, being quite different from stability in the sense of Lyapunov, is a significant performance specification from an engineering point of view. The basic concepts and results on practical stability for standard state-space systems were generalized to singular systems. For Lur’e type descriptor systems (LDS) which were the feedback interconnection of a descriptor system with a static nonlinearity, strongly absolute stability was defined and Circle criterion and Popov criterion were derived. The notion of input-state stability (ISS) for nonlinear singular systems was defined based on the concept of ISS for standard state-space systems and the characteristics of singular systems. LMI-based sufficient conditions for ISS of Lur’e singular systems were proposed. Furthermore, observer design for nonlinear singular systems was studied and some observer design methods were proposed by the obtained stability results and convex optimization algorithms. Finally, absolute stability and multi-objective control of nonlinear singularly perturbed systems were considered. By Lyapunov functions, absolute stability criteria of Lur’e singularly perturbed systems were proposed and multi-objective control of T-S fuzzy singularly perturbed systems was achieved. Compared with the existing results, the obtained methods do not depend on the decomposition of the original system and can produce a determinate upper bound for the singular perturbation parameter.
650 0 _aEngineering.
650 0 _aSystems theory.
650 0 _aPhysics.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aComplexity.
650 2 4 _aSystems Theory, Control.
700 1 _aZhang, Qingling.
_eauthor.
700 1 _aZhou, Linna.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642321436
830 0 _aLecture Notes in Control and Information Sciences,
_x0170-8643 ;
_v435
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-32144-3
912 _aZDB-2-ENG
999 _c97198
_d97198