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A nonlinear model predictive control scheme for the stabilization of setpoint families

机译:设定点族稳定的非线性模型预测控制方案

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Changing product specifications and load changes require that operating points have to be changed frequently during the operation of many processes. The nonlinear model predictive control (NMPC) schemes available at present that guarantee stability of the closed loop are, however, only suited to stabilize the behavior around one priori known steady state. The possibility for setpoint changes is not considered in the setup for these NMPC schemes and if this is incorporated in an ad hoc manner, stability cannot be guaranteed for varying setpoints. In this paper a new approach based on the well-known pseudolinearization in connection with the quasi-infinite horizon NMPC scheme is presented, that allows the stabilization not only around one setpoint, but rather of a whole family of setpoints. The pseudolinearization is used to obtain a closed expression for the controller parameters as a function of the setpoints, such that for every setpoint stability of the closed loop is guaranteed. The method is applied in simulation to the control of a chemical reactor.
机译:不断变化的产品规格和负载变化要求在许多过程的操作过程中必须经常更改操作点。目前可用的保证闭环稳定性的非线性模型预测控制(NMPC)方案仅适合稳定先验已知稳态附近的行为。对于这些NMPC方案,在设置中未考虑可能更改设置点的可能性,如果以特殊方式将其合并,则无法保证更改设置点的稳定性。在本文中,提出了一种基于与准无限地平线NMPC方案相关的众所周知的伪线性化的新方法,该方法不仅允许在一个设定点附近,而且可以在整个设定点家族附近实现稳定。伪线性化用于根据设定值获得控制器参数的闭合表达式,从而确保每个设定点的闭环稳定性。该方法在模拟中应用于化学反应器的控制。

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