Local Disturbance Decoupling with Stability for Nonlinear Systems

Leonardus L. M. Van Der Wegen

ISBN 10: 3540545433 / ISBN 13: 9783540545439

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1991, 1991

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This item is printed on demand - Print on Demand Titel. Neuware -In this monograph the local disturbance decoupling problemwith stability istreated for nonlinear systems. This problem consists in finding a (dynamic) state feedback for a given control system with two kinds of inputs, viz. controlled inputs and (uncontrolled) disturbances such that after application of this feedback the outputs are not influenced by the disturbances and the resulting internal dynamics are locally exponentially stable. In case only static state feedback is allowed two essentially different solutions are obtained, viz. a fundamental one and a more problem-oriented one. Both methods generalize well-known solutions for linear systems. In the last chapter a solution is found in case dynamic state feedback is allowed. Here a typical nonlinear phenomenon is pointed out, namely that there exist nonlinear systems for which the disturbance decoupling problem (with stability) can be solved by applying dynamic feedback, but not by using static feedback. The bookis intended for researchers in mathematical nonlinear systems theory. Geometric techniques play a key role in the book. Therefore, in Chapter 6 algebraic techniques are recalled and used.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 148 pp. Englisch.

Codice articolo 9783540545439

Dati bibliografici

• Titolo: Local Disturbance Decoupling with Stability for Nonlinear Systems
• Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1991
• Data di pubblicazione: 1991
• Lingua: Inglese
• ISBN 10: 3540545433
• ISBN 13: 9783540545439
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 244 L x 170 A x 9 P (millimetri) 244 millimetri di larghezza per 170 millimetri di altezza per 9 millimetri di profondità
• Peso: 269 grammi

Descrizione articolo

Riassunto

In this monograph the local disturbance decoupling problemwith stability istreated for nonlinear systems. Thisproblem consists in finding a (dynamic) state feedback for agiven control system with two kinds of inputs, viz.controlled inputs and (uncontrolled) disturbances such thatafter application of this feedback the outputs are notinfluenced by the disturbances and the resulting internaldynamics are locally exponentially stable. In case onlystatic state feedback is allowed two essentially differentsolutions are obtained, viz. a fundamental one and a moreproblem-oriented one. Both methods generalize well-knownsolutions for linear systems. In the last chapter a solutionis found in case dynamic state feedback is allowed. Here atypical nonlinear phenomenon is pointed out, namely thatthere exist nonlinear systems for which the disturbancedecoupling problem (with stability) can be solved byapplying dynamic feedback, but not by using static feedback.The bookis intended for researchers in mathematicalnonlinear systems theory. Geometric techniques play a keyrole in the book. Therefore, in Chapter 6 algebraictechniques are recalled and used.

Contenuti

1. Introduction.- 2. Preliminaries.- 3. The local disturbance decoupling problem with stability for nonlinear systems 1.- 4. The local disturbance decoupling problem with stability for nonlinear systems 2.- 5. Connections between the solution of the LDDPS for a nonlinear system and the DDPS for its linearization.- 6. The local dynamic disturbance decoupling problem with stability for nonlinear systems.- 7. Conclusions.