References

The primary reference for our overview of methods for model and controller order reduction is Chapter 11 in Skogestad and Postlethwaite (2005). For a more detailed introduction, there a few dedicated monographs such as Obinata and Anderson (2000) and Athanasios C. Antoulas (2005). A short extract from the latter is in A. C. Antoulas and Sorensen (2001).

The latter also excels in that it also admits that the topic of reduction of order of mathematical models formatted as state equations is not only relevant for the control systems community but from a number of other engineering and scientific communities as well. After all, mathematical models are not only for model-based control design but for simulation, optimization, and other purposes. For example, the in Tan and He (2007) they are motivated by fast simulation of VLSI circuits.

References

Antoulas, A. C., and D. C. Sorensen. 2001. “Approximation of Large-Scale Dynamical Systems: An Overview.” Technical Report. Houston, Texas: Rice University. https://hdl.handle.net/1911/101964.

Antoulas, Athanasios C. 2005. Approximation of Large-Scale Dynamical Systems. Philadelphia: Society for Industrial and Applied Mathematics.

Obinata, Goro, and Brian D. O. Anderson. 2000. Model Reduction for Control System Design. New York: Springer.

Skogestad, Sigurd, and Ian Postlethwaite. 2005. Multivariable Feedback Control: Analysis and Design. 2nd ed. Wiley. https://folk.ntnu.no/skoge/book/.

Tan, Sheldon, and Lei He. 2007. Advanced Model Order Reduction Techniques in VLSI Design. Cambridge: Cambridge University Press.