This paper considers the analysis and optimization problems of a class of pulse width modulation (PWM) feedback systems by using continuous orthogonal functions. Two algorithms only involving algebraic computation are derived to analyse PWM feedback systems and to design both the optimal control gains and the optimal PWM patterns of PWM feedback systems under the criterion of minimizing a quadratic performance index. The illustrated examples show that the proposed algorithms based on continuous orthogonal functions can obtain satisfactory results.
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