What is it about?
This paper explores the relationships between optimal ℓ2-gain control and simple adaptive control (SAC) for discrete-time systems. Namely, in the SAC scheme not only passivity and stability of the closed-loop system are considered, but it is also required that the adaptive control scheme attains some guaranteed ℓ2-gain performance. Sufficient conditions are derived for stability and asymptotic model-following of the closed-loop dynamics of the SAC scheme with a given disturbance attenuation level bound γ. These conditions are expressed in terms of bilinear matrix inequalities, which are solved using local iterations. Numerical examples are given that illustrate the method.
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This page is a summary of: Simple Adaptive L2-gain Control for Discrete-time Systems, IFAC Proceedings Volumes, January 2013, Elsevier,
DOI: 10.3182/20130703-3-fr-4038.00029.
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