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The minimal time optimality and the minimal energy optimality are often considered as competing approaches in the trajectory planning for precision movement of the wafer stages in electronic industry. We present here the theoretical and simulation results showing that with appropriate choice of the constraints these approaches are equivalent in the sense that they produce the same trajectory. The...
The Algebraic Riccati Equation (ARE) has increasingly played its role for the optimal control theory [1], [2]. Adaptive filters have been a widely used technique in the context of real time solution for ARE [3]. The least mean square (LMS) and the recursive least square (RLS) are among the most well known filters [4], [5]. Nevertheless, these algorithms have a lower learning rate for multivariable...
Model Predictive Control (MPC) has received significant attention from the power electronics research community. In this paper we apply MPC approach to designing optimal current regulators for voltage source inverters (VSI), in the sense of tracking references and rejecting disturbances of interest. In particular, we present a detailed derivation of optimal current regulators for tracking references...
The control of eolic and solar energy systems demands methods and technics adapted to the high degree of environment non-stationarities whose adjustments are carried out via adaptive filters. Among the best known are least mean square (LMS) and the recursive least square (RLS) algorithms [1] and [2]. However, those algorithms still fail to respond quickly to the optimal control of the doubly fed induction...
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