论文信息 - Title Balanced realizations of symmetric composite systems

Title Balanced realizations of symmetric composite systems

In this paper, we investigate the structural properties of balanced realizations, and their truncation, of a class of systems with symmetric interconnected and identical structure. It is established that the balanced realizations of such symmetric composite systems can be constructed via the balanced realizations of two auxiliary systems of comparatively low dimensions. The corresponding truncated realizations, which also have a certain symmetric structure, are explicitly constructed.

James Lam | Guang-Hong Yang

[1] L. Silverman,et al. Model reduction via balanced state space representations , 1982 .

[2] Dragan Stokic,et al. Control of Manipulation Robots: Theory and Application , 1985 .

[3] Malur K. Sundareshan,et al. Qualitative analysis and decentralized controller synthesis for a class of large-scale systems with symmetrically interconnected subsystems , 1991, Autom..

[4] Jan Lunze,et al. Decentralized design of feedback control for large-scale systems , 1988, Kybernetika.

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

[6] Jan Lunze,et al. Dynamics of strongly coupled symmetric composite systems , 1986 .

[7] James Lam,et al. L 1 impulse response error bound for balanced truncation , 1992 .

[8] Xiaoping Liu. Output regulation of strongly coupled symmetric composite systems , 1992, Autom..

[9] C. S. de Araujo,et al. Application of power system stabilisers in a plant with identical units , 1991 .