Finite-dimensional adaptive control for infinite-dimensional systems

DOI10.1080/00207178808906175zbMath0651.93035OpenAlexW2016791544MaRDI QIDQ3797039

Toshihiro Kobayashi

Publication date: 1988

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178808906175

zbMATH Keywords

Hilbert spaceinfinite dimensional systemfinite dimensional adaptive controller

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Linear systems in control theory (93C05) Groups and semigroups of linear operators (47D03) Control/observation systems in abstract spaces (93C25)

Related Items (11)

Adaptive stabilization of a Kirchhoff's nonlinear beam with output disturbances ⋮ Mittag-Leffler stabilization of fractional infinite dimensional systems with finite dimensional boundary controller ⋮ Adaptive unit-vector control of an uncertain heat diffusion process ⋮ Zeros and design of control systems for distributed parameter systems ⋮ Zeros and controllability of distributed parameter systems ⋮ Stabilization of infinite-dimensional second-order system by adaptive PI-controllers ⋮ Adaptive regulator design for a class of infinite-dimensional second-order systems ⋮ A Model-Based Fault Detection and Diagnosis Scheme for Distributed Parameter Systems: A Learning Systems Approach ⋮ Finite-dimensional model reference adaptive control of a class of nonlinear distributed systems with quasi-sliding mode ⋮ Adaptive techniques for the MRAC, adaptive parameter identification, and on‐line fault monitoring and accommodation for a class of positive real infinite dimensional systems ⋮ Finite-dimensional VS-MRAC of distributed parameter systems with boundary inputs

Cites Work

• Unnamed Item
• Instability analysis and improvement of robustness of adaptive control
• Control system design based on exact model matching techniques
• Extending a theorem of A. M. Liapunov to Hilbert space
• Spectral systems
• Robust adaptive controller with zero residual tracking errors
• A robust direct adaptive controller
• Stable adaptive controller design, part II: Proof of stability
• Feedback stabilization of a class of distributed systems and construction of a state estimator

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