Modified Balanced Truncation of State Delay Systems
نویسندگان
چکیده
منابع مشابه
Title Balanced truncation for time-delay systems via approximate gramians
In circuit simulation, when a large RLC network is connected with delay elements, such as transmission lines, the resulting system is a time-delay system (TDS). This paper presents a new model order reduction (MOR) scheme for TDSs with state time delays. It is the first time to reduce a TDS using balanced truncation. The Lyapunov-type equations for TDSs are derived, and an analysis of their com...
متن کاملBalanced truncation for linear interconnected systems: the state feedback case
Model order reduction is an important tool in control systems theory. In particular, it is useful for controller design since the dimension of the controller becomes very high when we use advanced control theory. Balanced truncation is one of the most useful model order reduction methods. In general, however, the stability of the feedback system is not maintained when the order of the controlle...
متن کاملEmpirical Balanced Truncation of Nonlinear Systems
Novel constructions of empirical controllability and observability gramians for nonlinear systems for subsequent use in a balanced truncation style of model reduction are proposed. The new gramians are based on a generalisation of the fundamental solution for a Linear Time-Varying system. Relationships between the given gramians for nonlinear systems and the standard gramians for both Linear Ti...
متن کاملApplication of Balanced Truncation to Nonlinear Systems
The balanced truncation method for reducing the size of a model was originally developed for linear systems. When extended to nonlinear systems, some considerationsmust be faced. First of all, the calculation of the balancing transformationmatrix is not unique. This may results in nonphysical values for the reconstructed states, which may lead to failure, for example, in thermodynamic routines....
متن کاملBalanced truncation model reduction of periodic systems
The balanced truncation approach to model reduction is considered for linear discrete-time periodic systems with time-varying dimensions. Stability of the reduced model is proved and a guaranteed additive bound is derived for the approximation error. These results represent generalizations of the corresponding ones for standard discrete-time systems. Two numerically reliable methods to compute ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1999
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.35.896