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Universal iterative learning control using adaptive high-gain feedback. (English) Zbl 0796.93069

Summary: Convergence theorems for adaptive (universal) iterative learning control systems provide a well-defined convergence criterion parametrized by a single adaptive gain parameter. The convergence is in the weak topology of \(L^ m_ 2(0,T)\) with \(T\) finite and applies to both finite- dimensional systems and a class of infinite-dimensional systems.

MSC:

93C40 Adaptive control/observation systems
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
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References:

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