Abstract
Based on pulse width modulation (PWM) technique, adaptive trajectory tracking of switched Buck power converters with parameter uncertainty is investigated in this article. By the aid of the backstepping technique, an equivalent continuous adaptive tracking controller is designed to guarantee the asymptotic stability of the closed-loop error continuous system. For the switched Buck converter with unknown parameters, PWM-based adaptive tracking with the equivalent adaptive continuous control input is proposed such that the closed-loop error digital system is practically asymptotically stable, and the tracking error converges to an arbitrarily small neighborhood of the origin. Simulation results are shown to illustrate the effectiveness of the proposed new control schemes.
Highlights
Switched DC-to-DC power converters, described by the multiple circuit topologies associated with the regulating switch position [1], is used to realize the voltage conversion of power electronic devices, which have widespread applications in DC voltage transformation, DC motor drives, switching power supply, and electric vehicles systems
Some switching strategies have been proposed for stability of switched DC-to-DC power converters on the basis of switched systems theory [5], such as switching rule based on combination of sliding mode control and equivalent control input [8]–[11], state-dependent switching on the basis of variable-structure control [7], optimal switching instants by means of a numerical optimization approach [6]
For the switched Buck converter, pulse width modulation (PWM)-based adaptive tracking with the equivalent control input is proposed such that the closed-loop error digital system is practically asymptotically stable, and the tracking error tends to an arbitrarily small neighborhood of the origin by tuning design parameters in contrast with [24], [26], [27]
Summary
Switched DC-to-DC power converters, described by the multiple circuit topologies associated with the regulating switch position [1], is used to realize the voltage conversion of power electronic devices, which have widespread applications in DC voltage transformation, DC motor drives, switching power supply, and electric vehicles systems. Wu: PWM-Based Adaptive Trajectory Tracking of Switched Buck Power Converters robust control [27] Remark that these advanced control methods are only considered for point regulating of continuous average models. For the switched Buck converter, PWM-based adaptive tracking with the equivalent control input is proposed such that the closed-loop error digital system is practically asymptotically stable, and the tracking error tends to an arbitrarily small neighborhood of the origin by tuning design parameters in contrast with [24], [26], [27]. Because the existing results (i.e., [20]–[27]) focused on point regulating problem of continuous average models, where the control input is continuous signal, and these existing control methods are ineffective for switched power converters. A novel framework on PWM-based adaptive trajectory tracking is established for switched Buck power converters with unknown parameters, where the system input is a digital switch control. Notations: For a vector x, |x| denotes its usual Euclidean norm and xT denotes its transpose; R+ denotes the set of all VOLUME 8, 2020 nonnegative real numbers; Rn denotes the real n-dimensional space; Rn×r denotes the real n × r matrix space; Ci denotes the set of all functions with continuous i-th partial derivative; K stands for the set of all functions: R+ → R+, which are continuous, strictly increasing and vanishing at zero; K∞ denotes the set of all functions which are of class K and unbounded; KL stands for the set of all functions β(s, t) : R+ × R+ → R+ which is of class K for each fixed t, and decreases to zero as t → ∞ for each fixed s; AB denotes the distance between A and B; SABCD denotes the area of a rectangle ABCD
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