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Parametric uncertainty bounds for performance robustness of linear systems with output feedback

Parametric uncertainty bounds for performance robustness of linear systems with output feedback

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The paper is devoted to performance robustness analysis of uncertain state-space models with linear parametric uncertainties and output feedback. The purpose is to find bounds on uncertain parameters within which the system H2 norm performance index is kept below a prespecified value. Through matrix nonsingularity analysis, it is shown that the bounds can be computed from structured singular values of certain composite matrices. To fully utilise the structural information of uncertainties, the authors also develop a method for reducing matrix sizes involved in the computation of structured singular value.

Inspec keywords: robust control; uncertain systems; state-space methods; feedback; H∞ control; matrix algebra; performance index; singular value decomposition

Other keywords: matrix size reduction; structured singular values; composite matrices; uncertain state-space models; parametric uncertainty bounds; linear systems; performance robustness; output feedback; structured singular value computation; H2 norm performance index; matrix nonsingularity analysis

Subjects: Stability in control theory; Algebra; Control system analysis and synthesis methods; Optimal control

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