Nonlinear finite-dimensional control of a class of nonlinear distributed parameter systems using residual mode filters: A proof of local exponential stability

DOI10.1016/0022-247X(91)90178-3zbMath0757.93036MaRDI QIDQ1192756

Mark J. Balas

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

infinite-dimensional distributed parameter systemstability compensation

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (8)

Robust stabilization design of nonlinear stochastic partial differential systems: fuzzy approach ⋮ Low order stabilizing controllers for a class of distributed parameter systems ⋮ Exponentially stable feedback control of discrete-time nonlinear distributed parameter systems on Banach spaces ⋮ Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds ⋮ Nonlinear feedback control of parabolic partial differential equation systems with time-dependent spatial domains ⋮ Control of nonlinear distributed parameter systems using generalized invariants ⋮ Stabilizing Semilinear Parabolic Equations ⋮ Stabilization for continuum models of large space structures in large attitude maneuvers

Cites Work

• Distributed parameter control of nonlinear flexible structures with linear finite-dimensional controllers
• Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers
• Finite-dimensional controllers for linear distributed parameter systems: Exponential stability using residual mode filters

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