L2-Gain and Passivity in Nonlinear Control

  • Authors:
  • Arjan van der Schaft;A. J. Schaft

  • Affiliations:
  • -;-

  • Venue:
  • L2-Gain and Passivity in Nonlinear Control
  • Year:
  • 1999

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Abstract

From the Publisher:This book gives a unified treatment of classical input output stability theory and recent developments in nonlinear robust and passivity-based control. The synthesis between these areas 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 vantage-ground. The connection between L - gain and passivity via scattering is detailed." "The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with modeling and control by interconnection. Feedback equivalence to a passive system and resulting stabilization strategies are discussed." "The potential of L[subscript 2] - gain techniques in nonlinear control is demonstrated, including a compact treatment of the nonlinear H[subscript [infinity]] optimal control problem.