Multivariable Systems

  • Cheng-Ching Yu
Part of the Advances in Industrial Control book series (AIC)


Up to this point, discussions on autotuners are mostly limited to singleinput-single-output (SISO) systems. Koivo and co-workers (Penttiner and Koivo, 1980; Koivo and Pohjolainer, 1985) use step responses to find the state space model for a n × n multivariable system. PI controllers are designed according to the linear model. Conceptually, this is similar to a multivariable version of the process reaction curve method (Seborg et al., 1989, p.302). Since step responses are employed in the identification phase, the method may encounter difficulties with highly nonlinear processes. Cao and McAvoy (1990) evaluate and analyze the performance of the pattern recognition controller (EXACT, Bristol, 1977) in a multivariable system. Hsu et al. (1992) attempt to extend the Åström-Hägglund autotuner to multivariable systems when I-only (integral only) controllers are used. Furthermore, the method of Hsu et al. (1992) requires that the steady-state gain matrix should be known a priori. Obviously, this requirement limits the applicability of the autotuner in an operating environment.


Distillation Column Multivariable System Load Response Transfer Function Matrix Tuning Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Cheng-Ching Yu
    • 1
  1. 1.Department of Chemical EngineeringNational Taiwan University of Science & TechnologyTaipeiTaiwan

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