Abstract
Tube model predictive control (MPC) is one of a few suitable techniques for robust stabilization of disturbed nonlinear systems subject to constraints. This paper introduces the integration of H∞ control scheme into a robust tube MPC control algorithm for surge prevention in centrifugal compressor system in the presence of bounded disturbances. Nonlinear dynamic of compression system is considered that contains acoustic of compressor system and brings up the effects of the station’s piping system on the compressor surge. Also, close-coupled valve is selected as actuator for the surge control system. The proposed method is composed of two controllers: a nominal MPC controller which solves a standard surge problem for the nominal system, and an ancillary MPC controller from H∞ control approach to stabilize the states despite disturbances. Numerical simulation results verify the capability of the proposed surge control method and guaranty the asymptotic stability of compression system in the presence of disturbances.
Highlights
Compressors are important machines in current industrial developments for the pressing and transportation of gases and fluids
Surge is one of the main dynamic instability that affects the entire compression system and it is characterized by a limit cycle oscillation that results in large amplitude fluctuations of the pressure and flow rate
Overcoming the problems, we present new numerical results in the compressor surge tube model predictive control (MPC) using the close-coupled valve (CCV) as an actuator in the compression system
Summary
Compressors are important machines in current industrial developments for the pressing and transportation of gases and fluids. Surge is one of the main dynamic instability that affects the entire compression system and it is characterized by a limit cycle oscillation that results in large amplitude fluctuations of the pressure and flow rate. A surge controller is designed for a centrifugal compressor system based on the enhanced compression system model recently presented (Yoon et al, 2011a), and modified to support the CCV as actuator in this study. The compression system in the study of surge comprised of three basic elements They are the compressor/plenum increasing and keeping the energy in the system, the throttle valve governing the average flow rate, and the piping transferring the pressed gas/fluid. Afterwards the coordinate transformation, the consequential piping equation with nondimensional states is expressed in this way: Ψth
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