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An error bound for a discrete reduced order model of a linear multivariable system. (English) Zbl 0622.93021

The design of feasible controllers for high dimension multivariable systems can be greatly aided by a method of model reduction. In order for the design based on the order reduction to include a guarantee of stability, it is sufficient to have a bound on the model error. Previous work has provided such a bound for continuous-time systems for algorithms based on balancing. In this note an \(L^{\infty}\) bound is derived for the model error for a method of order reduction of discrete linear multivariable systems based on balancing.

MSC:

93B50 Synthesis problems
93C05 Linear systems in control theory
93C35 Multivariable systems, multidimensional control systems
93A15 Large-scale systems
93C55 Discrete-time control/observation systems
93D20 Asymptotic stability in control theory
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