Analysis and optimal control of pulse width modulation feedback systems

Abstract

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.

Design of robust‐optimal controllers with low trajectory sensitivity for uncertain Takagi–Sugeno fuzzy model systems using differential evolution algorithm

“…So, in this paper, by assuming the value of h i ( z ( t )) to be constant within the small time interval kt f ≤ t ≤ ( k + 1) t f , we propose a new numerical optimization approach, which integrates the OFA and the TSBDEA, to design the quadratic optimal controllers of the uncertain TS fuzzy model systems. In addition, the comparison between the OFA and the piecewise orthogonal function approach such as the Haar wavelet and block‐pulse functions has been studied by the second author with his associate . It has been shown that the OFA can obtain the better results than the piecewise orthogonal function approach.…”

“…The parametric uncertainties may destabilize the TS fuzzy model systems . Some researchers (see, for example, and the references therein) have employed the linear matrix inequality‐based (LMI‐based) techniques to investigate the robust stability and stabilization problems of the TS fuzzy model systems with parametric uncertainties.…”