Robust hybrid control law for a boost inverter

Abstract

In this paper, we propose a robust hybrid control for a boost inverter. This control presents the particularity of considering the real nature of the dynamics, which means, the continuous-time dynamics, voltages and currents, and the discrete-time dynamics, the switching of the transistors. Likewise, due to implementation issues a minimum dwell time is introduced in the control loop scheme. Uniform global asymptotic stability is guaranteed, ensuring that the tracking error of the system output enters into a small neighbourhood of zero. Moreover, robustness guarantee with respect to parameter variations, in terms of an error tracking output regulation, are also provided here. The effectiveness of the proposed hybrid control scheme is illustrated in simulation.

Control of Power Converters With Hybrid Affine Models and Pulse-Width Modulated Inputs

“…Once again, two situations must be considered, 0 M Q and M 0. The saturation of the expression of κ(x) at λ + = 1 with M 0 can only happen if B 1 P x > 0, which implies, from the equilibrium equation (28), that…”

“…The novel idea developed here is focused on power converters with only two functioning modes, which are very common in power electronics [27][28][29]. A new controller is proposed to stabilize a limit cycle, based on a rigorous model, different from the classical averaged models used in the literature.…”

Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov Functions

“…b is a positive real number that bounds the parameter's derivative. If the uncertain parameter θ i belongs to the set given by ( 10) and satisfies (11), then its time derivative can be written as [14,15]:…”

“…Theorem 1. The complete LMI formulation of the LQR problem is: considering system (7), in the uncertain domains ( 10)- (11), with Nsymmetric and positive definite matrices P 1 , . .…”

“…More recently, the efforts have been focused on approaches that do not require full state feedback [8], that improve the robustness [9] or the performance properties [10]. Although these papers employ averaged models of the converters, other approaches have also tackled the problem from a hybrid system perspective [11,12].…”