PI control of stable nonlinear plants using projected dynamical systems

This paper presents a novel anti-windup proportional–integral controller for stable multi-input multi-output nonlinear plants. We use tools from projected dynamical systems theory to force the integrator state remain in desired (compact and convex) region, such that plant input steady-state values satisfy operational constraints of problem. Under suitable monotonicity assumptions on input–output map, we singular perturbation results prove existence sufficiently small gain ensuring closed-loop (local) exponential stability reference tracking feasible set constant references. suggest particular design, which embeds (when possible) right inverse map. The relevance proposed scheme is validated through an application power domain, namely, output (active reactive) regulation grid-connected synchronverter.