Abstract
An algorithm is proposed to synthesize a reliable controller with a given stability margin for linear and periodic systems optimized with respect to a quadratic performance criterion. A reliable controller synthesized by the algorithm guarantees the stability margin and is close to the linear-quadratic requlator. The importance of ensuring the stability margin is demonstrated. The proposed algorithm is based on methods of linear matrix inequalities and can be implemented using standard MATLAB routines. As an example, a reliable controller that stabilizes the program motion of a hopping machine is synthesized
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 10, pp. 114–126, October 2005.
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Larin, V.B. On Reliable Stabilization of Linear Periodic Systems. Int Appl Mech 41, 1182–1192 (2005). https://doi.org/10.1007/s10778-006-0025-z
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DOI: https://doi.org/10.1007/s10778-006-0025-z