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.
The following have contributed to this page: Dr Itzhak Barkana