The authors explore the limits on the behavior of a regulation scheme when the underlying model is not well-controllable or observable. They examine what happens when the open-loop system is close to uncontrollable or unobservable, either in the sense that some of the second-order modes are small, or in the sense that some small perturbation to the coefficients in state-space realization will yield an uncontrollable or unobservable system. It is shown that in this situation, the system behaves close to an uncontrollable and/or unobservable system, thus making the system undesirable, and analytic bounds are given on how close this behavior is.
|Original language||English (US)|
|Number of pages||5|
|Journal||Proceedings of the American Control Conference|
|State||Published - Dec 1 1987|