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In this paper, a new class of augmented Lagrangian functions with a piecewise linear relational NCP function and a Lagrangian multiplier method are proposed for the minimization of a smooth function subject to smooth equation and inequality constraints. This method is based on the solutions of the unconstrained optimization which is reformulation of the primal constrained problem. These methods are...
A field programmable gate array (FPGA) based digital control for boost power-factor-correction (PFC) converters with average current-mode control (ACC) is implemented in the paper. It is designed to fulfill the international current standards on power factor and input current harmonic distortion of power supplies. The digital control design of the boost PFC converter with ACC is implemented by the...
It is shown in this paper that the successive approximation procedure simplifies computations of the optimal solution of a bilinear-quadratic optimal control problem. For a given bilinear system affected by external periodic disturbances, a sequence of linear problems is constructed, and their solutions are shown to converge to the desired solution. By solving iterative the sequences, the optimal...
This paper considers the optimal tracking control (OTC) problem for bilinear systems affected by sinusoidal disturbances, and gives a successive approximation approach to solve analogous problems for general bilinear systems. For a given bilinear OTC problem, a sequence of linear problems is constructed, and their solutions are shown to converge to the desired solution. By iteratively solving the...
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