论文信息 - Singular perturbational approximations for discrete-time balanced systems

Singular perturbational approximations for discrete-time balanced systems

A new zero-order singular perturbational type approximation is developed for model reduction of discrete-time linear systems. This approximation is also suitable for model reduction of systems which have fast subsystems and which are represented in the internally balanced format. Subsystem elimination as suggested by Moore for continuous-time systems does not generalize for the discrete-time case, and the singular perturbational approximation gives a particular solution to the discrete-time internally balanced model reduction problem.

K. Fernando | H. Nicholson

[1] Wassily Leontief,et al. An Alternative to Aggregation in Input-Output Analysis and National Accounts , 1967 .

[2] Clifford T. Mullis,et al. Synthesis of minimum roundoff noise fixed point digital filters , 1976 .

[3] R. Roberts,et al. Roundoff noise in digital filters: Frequency transformations and invariants , 1976 .

[4] Michael Athans,et al. Survey of decentralized control methods for large scale systems , 1978 .

[5] Lars Pernebo,et al. Balanced systems and model reduction , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[6] D. Naidu,et al. A singular perturbation method for discrete control systems , 1980 .

[7] R. Phillips. Reduced order modelling and control of two-time-scale discrete systems† , 1980 .

[8] B. Moore. Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[9] G. Blankenship. Singularly perturbed difference equations in optimal control problems , 1981 .

[10] Sun-Yuan Kung,et al. A state-space formulation for optimal Hankel-norm approximations , 1981 .

[11] K. Fernando,et al. Singular perturbational model reduction in the frequency domain , 1982 .

[12] K. Fernando,et al. Singular perturbational model reduction of balanced systems , 1982 .