Reduced order reference governor

Abstract

Reference governors are add-on control schemes for enforcing constraints in closed-loop systems. This paper presents an approach to reducing the reference governor complexity for systems with states decomposable into “slow” and “fast” states. The reference governor design is based on the reduced order model for “slow” states, where constraints are tightened to ensure that the contribution of fast states does not cause constraint violation. The first of two examples demonstrates that a reference governor based on just two states can handle the surge constraint for a turbocharged downsized gasoline described by five dynamic states. The second example demonstrates that the tip deflection limits in an infinite-dimensional model of a flexible Euler-Bernoulli free-free beam can be handled based on just two modal coordinates.