Model reduction by matching Markov parameters, time moments, and impulse-response energies

This paper presents a simple procedure for constructing reduced-order models that match some Markov parameters and time moments of an original system as well as the energies of its impulse response and of other combinations of the system modes. In this way, the stability of the reduced model of a stable system is ensured. >

[1]  Victor Sreeram,et al.  On the computation of the Gram matrix in time domain and its application , 1993, IEEE Trans. Autom. Control..

[2]  Umberto Viaro,et al.  Some comments on steady-state and asymptotic responses , 1994 .

[3]  Umberto Viaro,et al.  Reduction of linear continuous-time multivariable systems by matching first- and second-order information , 1994, IEEE Trans. Autom. Control..

[4]  Yujiro Inouye,et al.  Approximation of multivariable linear systems with impulse response and autocorrelation sequences , 1983, Autom..

[5]  R. Roberts,et al.  The use of second-order information in the approximation of discreate-time linear systems , 1976 .

[6]  Victor Sreeram,et al.  Identification and model reduction from impulse response data , 1990 .

[7]  Hiroshi Nagaoka Mullis–Roberts–type approximation for continuous–time linear systems , 1987 .

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

[9]  B. Anderson,et al.  The generation of all q-Markov covers , 1987 .

[10]  P. Agathoklis,et al.  The discrete-time q-Markov cover models with improved low-frequency approximation , 1994, IEEE Trans. Autom. Control..

[11]  V. Sreeram,et al.  Model reduction of linear continuous systems using weighted impulse response Gramians , 1993 .

[12]  Brian D. O. Anderson,et al.  Weighted q-Markov covariance equivalent realizations , 1989 .

[13]  Gian Antonio Mian,et al.  Optimality conditions in multivariable L2 model reduction , 1993 .

[14]  R. Skelton,et al.  Linear system approximation via covariance equivalent realizations , 1985 .

[15]  E. Jonckheere,et al.  Combined sequence of Markov parameters and moments in linear systems , 1989 .