TY - GEN
T1 - A generalized hamilt∞ control design framework for stable multivariable plants subject to simultaneous output and input loop breaking specifications
AU - Puttannaiah, Karan
AU - Echols, Justin A.
AU - Rodriguez, Armando
PY - 2015/7/28
Y1 - 2015/7/28
N2 - In this paper, we present a generalized mixed-sensitivity multivariable framework for linear time invariant (LTI) plants that can handle a broad class of closed loop (e.g. hamilt∞, hamilt2, frequency- and time domain) objectives while being able to directly and systematically address the problem of trading off properties at distinct loop breaking points. This is done by exploiting the Youla-Jabr-Bongiorno-Kucera-Zames (YJBKZ) parameterization, the resulting convexification, and efficient convex solvers that can be applied to smooth as well as non-differentiable problems. Our approach is shown to be particularly useful for ill-conditioned plant having large relative gain array entries - plants that have received considerable attention in the literature without yielding a direct systematic design methodology. Moreover, we also show how our approach can be applied to multivariable infinite-dimensional plants. We specifically show that by suitably approximating the infinite-dimensional plant with a finite-dimensional approximant, a near-optimal finite-dimensional controller can be designed for the infinite-dimensional plant. Illustrative examples are provided.
AB - In this paper, we present a generalized mixed-sensitivity multivariable framework for linear time invariant (LTI) plants that can handle a broad class of closed loop (e.g. hamilt∞, hamilt2, frequency- and time domain) objectives while being able to directly and systematically address the problem of trading off properties at distinct loop breaking points. This is done by exploiting the Youla-Jabr-Bongiorno-Kucera-Zames (YJBKZ) parameterization, the resulting convexification, and efficient convex solvers that can be applied to smooth as well as non-differentiable problems. Our approach is shown to be particularly useful for ill-conditioned plant having large relative gain array entries - plants that have received considerable attention in the literature without yielding a direct systematic design methodology. Moreover, we also show how our approach can be applied to multivariable infinite-dimensional plants. We specifically show that by suitably approximating the infinite-dimensional plant with a finite-dimensional approximant, a near-optimal finite-dimensional controller can be designed for the infinite-dimensional plant. Illustrative examples are provided.
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U2 - 10.1109/ACC.2015.7171843
DO - 10.1109/ACC.2015.7171843
M3 - Conference contribution
AN - SCOPUS:84940926270
T3 - Proceedings of the American Control Conference
SP - 3310
EP - 3315
BT - ACC 2015 - 2015 American Control Conference
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2015 American Control Conference, ACC 2015
Y2 - 1 July 2015 through 3 July 2015
ER -