Abstract
The problem of robustly stabilizing a linear system subject to H ∞ -bounded perturbations in the numerator and the denominator of its normalized left coprime factorizations is considered for a class of infinite-dimensional systems. This class has possibly unbounded, finite-rank input and output operators which includes many delay and distributed systems. The optimal stability margin is expressed in terms of the solutions of the control and filter algebraic Riccati equations. The applicability of this theory is demonstrated by a controller design for a flexible beam with uncertain parameters.
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Bontsema, J., Curtain, R.F. (1990). Robust Stabilization of a Flexible Beam Model Using a Normalized Coprime Factorization Approach. In: Hinrichsen, D., Mårtensson, B. (eds) Control of Uncertain Systems. Progress in Systems and Control Theory, vol 6. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2108-9_1
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DOI: https://doi.org/10.1007/978-1-4757-2108-9_1
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