Computation of state realizations for control systems described by a class of linear differential-algebraic equations
作者:
HARIHARAN KRISHNAN,
N. HARRIS McCLAMROCH,
期刊:
International Journal of Control
(Taylor Available online 1992)
卷期:
Volume 55,
issue 6
页码: 1425-1441
ISSN:0020-7179
年代: 1992
DOI:10.1080/00207179208934292
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Control systems described in terms of a class of linear differential-algebraic equations are introduced. Under appropriate relative degree assumptions, a computational procedure for obtaining an equivalent state realization is developed using a singular value decomposition. Properties such as stability, controllability, observability, etc, for the differential-algebraic system may be studied directly from the state realization. For linear constrained hamiltonian systems, it is shown that the procedure provides a state realization in which the hamiltonian structure is preserved. Similar results are obtained for constrained gradient systems. Control of systems described by this class of differential-algebraic equations, using a transformation to obtain a state realization, completely avoids the need for any new control theoretic machinery.
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