CONTROL PROBLEMS FOR SYSTEMS WITH UNCERTAINTYстатья
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Дата последнего поиска статьи во внешних источниках: 1 апреля 2020 г.
Аннотация:Different forms of control problems for linear systems under essential uncertainty are considered.
Specifically, three problems are examined. First, the unknown disturbances are assumed bounded and
only their bounds are known. The problem is solved under various assumptions regarding the order of
the disturbances and the observed signals, as well as the properties of the system. Second, the estimation
of the unknown input (i.e., the inversion problem or the inverse problem) is considered. This problem
is solved by the controlled model method with the control designed to stabilize the difference
between the observed outputs of the original system and the model. Robust stabilization algorithms
produce estimates of the unknown signals with a desired accuracy. The third problem focuses on stabilization
of switched systems. The dynamics of the chosen system is described at each instant by one of
the systems from a given finite set. Switching between regimes may depend both on time and on the
system phase vector. Two problems are solved successively: finding stabilizers (a unique stabilizer if
possible) for each plant from the family, and then investigating the conditions when switching between
stable regimes does not disrupt the stability of the switched system. Various stabilization methods are
obtained for switched systems covering different switching schemes.