A geometric approach to simultaneous system design: Parameter insensitive disturbance decoupling by state and output feedback. (English) Zbl 0607.93015

Modelling, identification and robust control, Sel. Pap. 7th Int. Symp. Math. Theory Networks Syst., Stockholm 1985, 471-484 (1986).
[For the entire collection see Zbl 0592.00037.]
We obtain a necessary and sufficient condition to the problem of constructing a fixed control, for a family of input-output systems with an additional disturbance input, that decouples the disturbance from the output in each of the plants. We show that when such a control does exist, it can be synthesized by a state feedback through a nonswitching gain. On the other hand, if the state is not available for feedback, we consider feeding back the output through a dynamic compensator and obtain a necessary and sufficient condition for the above simultaneous disturbance decoupling problem under certain special cases.


93B27 Geometric methods
93B50 Synthesis problems
93C05 Linear systems in control theory
93C35 Multivariable systems, multidimensional control systems
93B35 Sensitivity (robustness)
93D15 Stabilization of systems by feedback


Zbl 0592.00037