An H∞ Low-Order Controller Design using Coprime Factors and Linear Matrix Inequality Techniques

J.-K. Shiau and C.-A. Tzeng (Taiwan)


coprime factorization, robust control, pole placement, linear matrix inequalities, low-order controller design,


This paper proposes a non-iterative computational algorithm for the design of fixed order controller for an H∞ optimization problem. Using the coprime factors and pole placement constraints, the fix-order controller design is reformulated as a convex optimization problem. The solutions are obtained using linear matrix inequality techniques. An aircraft model with 3-inputs and 3-outputs is used to illustrate the design algorithm.

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