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The self-tuning feedback controller (SFC) described in this paper is mathematically and structurally equivalent to a conventional, discrete, PID, feedback controller. However, it also includes a simple estimation or adaptive algorithm that tunes the controller constants such that a quadratic performance index with a control weighting term is minimized. Global stability is mathematically proven in...
The adaptive control of interconnected systems whose subsystems possess slow and fast modes is investigated in the presence of external disturbances. Local filters are introduced to filter the local outputs and an approach is developed for stabilization and tracking using decentralized adaptive controllers. The effects of disturbances, unmodeled interconnections and fast parasitics are examined. In...
Model reference adaptive control is applied to linear time invariant systems for the case of arbitrary time varying model commands. Asymptotic stability is guaranteed provided that the output stabilized transfer matrix is strictly positive real. Only output measurements are needed. Neither perfect model following nor explicit parameter identification is required. Simulations show the scheme to be...
The qualitative properties of the power flow equation can be studied from its local and global aspects. These properties determine to a considerable extent the transient and steady state behavior of the power system. Although knowledge of local aspects has increased considerably, understanding of global properties continues to be primitive.
This paper presents the preliminary results of a method which proposes to assure the determination of the stability attributes of all linear and of a large class of nonlinear 1st and 2nd order systems. V(t,X,??) = W(X)e-??t, a decrescent function is selected as the Lyapunov function, where W(X) is a general quadratic function of the state variables and ?? ?? 0. Initial results indicate that a good...
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