Two general state feedback control laws for compressor surge stabilization

Abstract

Active surge control system (ASCS) can be classified into two types: upstream energy injection and downstream energy dissipation [1]. Two novel state feedback control laws termed φ-control for the upstream energy injection and ψ-control the downstream energy dissipation are presented. Both state feedback control laws are derived by using the Lyapunov based control method such that the closed loop systems are global asymptotic stable (GAS). The φ-control applies feedback from the compressor mass flow sensor to generate extra pressure to the compressor upstream line, while the ψ-control generates an extra flow out of the plenum using feedback from the compressor discharged pressure and the plenum pressure. Both state feedback control laws offer a minimum number of sensors requirement. Moreover, the ψ-control requires feedback from pressure sensors only which are readily available and make real-time implementation of the system to be easier.