Title :
On L2-sensitivity minimization of linear state-space systems
Author :
Yan, Weiyong ; Moore, John B.
Author_Institution :
Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
Properties of the solution to the L2-sensitivity minimization problem are discussed. In particular, a specific form of the solution is derived together with a bound. This bound gives an insight into the difference between a pure L2-sensitivity optimal realization, and a mixed L2/L1-sensitivity optimal one. The question of L2-sensitivity balanced truncation is addressed, and a counterexample is presented to show that two main properties associated with model reduction by truncating a Lyapunov balanced realization are lost in the case of L2-sensitivity balanced truncation
Keywords :
Lyapunov methods; linear systems; minimisation; optimal control; sensitivity; state-space methods; L2-sensitivity balanced truncation; L2-sensitivity minimization; L2-sensitivity optimal realization; Lyapunov balanced realization; linear state-space systems; model reduction; optimal control; Controllability; Differential equations; Eigenvalues and eigenfunctions; Observability; Sufficient conditions;
Conference_Titel :
Systems Engineering, 1992., IEEE International Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-0734-8
DOI :
10.1109/ICSYSE.1992.236939
