L2-gain and passivity techniques in nonlinear control
著者
書誌事項
L2-gain and passivity techniques in nonlinear control
（Communications and control engineering）
Springer, c2017
3rd ed
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注記
Previous edition: 2000
Includes bibliographical references (p. 303-318) and index
内容説明・目次
内容説明
This standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L2-gain theory is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this standpoint. The connection between L2-gain and passivity via scattering is detailed.
Feedback equivalence to a passive system and resulting stabilization strategies are discussed. The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with physical modeling and control by interconnection, and leading to novel control methodologies going beyond passivity.
The potential of L2-gain techniques in nonlinear control, including a theory of all-pass factorizations of nonlinear systems, and of parametrization of stabilizing controllers, is demonstrated. The nonlinear H-infinity optimal control problem is also treated and the book concludes with a geometric analysis of the solution sets of Hamilton-Jacobi inequalities and their relation with Riccati inequalities for the linearization.
* L2-Gain and Passivity Techniques in Nonlinear Control (third edition) is thoroughly updated, revised, reorganized and expanded. Among the changes, readers will find:
* updated and extended coverage of dissipative systems theory
* substantial new material regarding converse passivity theorems and incremental/shifted passivity * coverage of recent developments on networks of passive systems with examples
* a completely overhauled and succinct introduction to modeling and control of port-Hamiltonian systems, followed by an exposition of port-Hamiltonian formulation of physical network dynamics
* updated treatment of all-pass factorization of nonlinear systems
The book provides graduate students and researchers in systems and control with a compact presentation of a fundamental and rapidly developing area of nonlinear control theory, illustrated by a broad range of relevant examples stemming from different application areas.
目次
Chapter 1: Input-Output Stability.- Chapter 2: Small-Gain and Passivity of Input-Output Maps.- Chapter 3: Dissipative Systems Theory.- Chapter 4: Passivity.- Chapter 5: Passivity by Feedback.- Chapter 6: Port-Hamiltonian Systems.- Chapter 7: Port-Hamiltonian Network Dynamics.- Chapter 8: L2-Gain and the Small Gain Theorem.- Chapter 9: Factorizations of Nonlinear Systems.- Chapter 10: Nonlinear H-infinity Control.-Chapter 11: Hamilton-Jacobi Inequalities.
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