
The standard LQ-regulator is known to be a dominant controller in the sense that the optimal cost is minimal for all initial states \(x_ 0\in R^ n\). In general, static or dynamic output feedback controllers do not have this dominance property. In this note, it is shown that in the general multivariable case for the original cost functional, a dynamic output feedback controller using an observer is dominant if, and only if, the observer is perfectly initialized.
Linear systems in control theory, observer, Multivariable systems, multidimensional control systems, dominant controller, Model systems in control theory, dynamic output feedback controller
Linear systems in control theory, observer, Multivariable systems, multidimensional control systems, dominant controller, Model systems in control theory, dynamic output feedback controller
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