On L2-Sensitivity Minimization of Linear State-Space Systems

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 39, Issue 8, 1992, Pages 641-648

  Yan, Wei Yong ^a   Moore, John B ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLABILITY; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; OBSERVABILITY; OPTIMIZATION; SENSITIVITY ANALYSIS; SYSTEM STABILITY; SYSTEM THEORY; TRANSFER FUNCTIONS;

L-2 SENSITIVITY MINIMIZATION; LINEAR STATE-SPACE SYSTEMS; LYAPUNOV BALANCED REALIZATION;

STATE SPACE METHODS;

EID: 0026904560     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.168916     Document Type: Article

References (6)

1. U. Helmke and J. B. Moore, “ L 2 sensitivity minimization of linear system representations via gradient flows,” J. Mathematical Syst. Contr. Theory, to appear.
2. J. E. Perkins, U. Helmke, and J. B. Moore, “Balanced realizations via gradient flow techniques,” Syst. Contr. Lett., vol. 14, pp. 369–380, 1990.
3. L. Thiele, “On the sensitivity of linear state-space systems,” IEEE Trans. Circuits Syst., vol. CAS-33, pp. 502–510, 1986.
4. L. Pernero and L. M. Silverman, “Model reduction via balanced state space representations,” IEEE Trans. Automa. Contr., vol. AC-27, pp. 382–387, 1982.
5. K. Glover, “All optimal Hankel-norm approximations of linear multivariable systems and their L∞ -error bounds,” Int. J. Contr., vol. 39, pp. 1115–1193, 1984.
6. W. Yan, J. B. Moore, and U. Helmke “Iterative Computation of L2 -sensitivity optimal realizations,” in Proc. IEEE Conf. on Decision Control, 1992.