PTSC: a New Definition for Structural Controllability under Numerical Perturbations
| Autor: | Zhang, Yuan, Xia, Yuanqing |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This paper proposes a novel notion for structural controllability under structured numerical perturbations, namely the perturbation-tolerant structural controllability (PTSC), on a single-input structured system whose entries can be classified into three categories: fixed zero entries, unknown generic entries whose values are fixed but unknown, and perturbed entries that can take arbitrary complex values. Such a system is PTSC if, for almost all values of the unknown generic entries in the parameter space, the corresponding controllable system realizations can preserve controllability under arbitrary complex-valued perturbations with their structure prescribed by the perturbed entries. This new notion can characterize the generic property in controllability preservation under structured numerical perturbations. We give a necessary and sufficient condition for a single-input system to be PTSC, whose verification has polynomial time complexity. Our results can serve as some feasibility conditions for the conventional structured controllability radius problems from a generic view. Comment: This paper includes the proofs that were left out in a conference paper to appear in the 40th Chinese Control Conference on July 26-28, 2021 in Shanghai, China. For an expanded version of this paper, see Y.Zhang, Y.Xia, G.Wang, and J.Zhang. Perturbation-tolerant structural controllability for linear systems. arXiv preprint arXiv:2105.00968, 2021 |
| Databáze: | arXiv |
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