Dynamic modeling and control of dc-dc series resonant converter (SRC) especially when operating in discontinuous conduction mode (DCM) is still a challenge in power electronics. Due to semiconductors switching, SRC is naturally represented as a switched linear system, a class of hybrid systems. Nevertheless, the hybrid nature of the SRC is commonly neglected and it is modeled as a purely contin...

In this work, we propose a conceptual framework for integrating dynamic economic optimization and model predictive control (MPC) for optimal operation of nonlinear process systems. First, we introduce the proposed two-layer integrated framework. The upper layer, consisting of an economic MPC (EMPC) system that receives state feedback and time-dependent economic information, computes economicall...

In this paper, we address regional stability and performance analysis on linear control systems with linear anti-windup augmentation. We use LMIs to compute 1) an upper bound for the nonlinear L2 gain, 2) an estimate of the reachable set under norm bounded exogenous input and 3) an estimate of the domain of attraction with zero input. The problems are studied in a general setting where the only...

We study the problem of adaptively stabilizing time-varying plants using supervisory control, which employs multiple controllers and a supervisory unit that orchestrates switching among the controllers. We show that for bounded disturbances and noise, all the closed-loop signals remain bounded provided that the plant varies slowly enough and the unmodeled dynamics are small enough. Slow variati...

This paper investigates the formulation of nonlinear model-predictive control problems with economic objectives on an infinite horizon. The proposed formulation guarantees nominal stability for closed-loop operation. Furthermore, a novel solution method of the infinite horizon method through a transformation of the independent time variable is employed. The closed-loop optimization with infinit...