Robust stability design of decoupling controllers using Nevanlinna-Pick algorithm with relative degree constraints. (English) Zbl 1230.93068
Summary: In this article, we treat robust stability design of decoupling controllers for the plant with multiplicative-type uncertainty. We show that the robust stability condition in terms of matrix \(H _{\infty }\)-norm leads to interpolation problems on scalar functions and we derive relative degree conditions on the interpolating scalar functions to guarantee the properness of resulting controllers. A Nevanlinna-Pick algorithm with relative degree constraints is presented to solve the interpolation problems with the relative degree constraints.
MSC:
| 93D09 | Robust stability |
| 93B11 | System structure simplification |
| 93B40 | Computational methods in systems theory (MSC2010) |
| 93C41 | Control/observation systems with incomplete information |
Keywords:
decoupling controllers; multiplicative uncertainty; robust stability design; Nevanlinna-Pick algorithm with relative degree constraintReferences:
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