NDLI: Nonlinear Tracking Over Compact Sets with Linear Dynamically Varying \boldmath $H^\infty$ Control

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Jonckheere, Edmund Bohacek, Stephan
Copyright Year	2001
Abstract	Linear dynamically varying $H^{\infty}$ controllers are developed for tracking natural trajectories of a broad class of nonlinear systems defined over compact sets. It is shown that the existence of a suboptimal $H^{\infty}$ controller is related to the existence of a bounded solution to a functional algebraic Riccati equation. Even though nonlinear systems running over compact sets could exhibit sensitive dependence on initial conditions, the Riccati solution is continuous in the suboptimal case, but it may be discontinuous in the optimal case.
Starting Page	1042
Ending Page	1071
Page Count	30
File Format	PDF
ISSN	03630129
DOI	10.1137/S0363012999350584
e-ISSN	10957138
Issue Number	4
Volume Number	40
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-26
Access Restriction	Subscribed
Subject Keyword	nonlinear systems Smooth mappings and diffeomorphisms Dynamic programming method Sensitivity, stability, well-posedness linear parametrically and dynamically varying systems Lyapunov functions and stability; attractors, repellers state space $H^\infty$ robust control functional algebraic Riccati equation trajectory tracking Stability theory Expanding maps; hyperbolicity; structural stability
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Applied Mathematics

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