Title :
Construction and parameterization of all static and dynamic H2 -optimal state feedback solutions, optimal fixed modes and fixed decoupling zeros
Author :
Chen, Ben M. ; Saberi, Ali ; Sannuti, Peddapullaiah ; Shamash, Yacov
Author_Institution :
Dept. of Electr. Eng., State Univ. of New York, Stony Brook, NY, USA
fDate :
2/1/1993 12:00:00 AM
Abstract :
A problem of H2 optimization via state feedback is considered. The problems dealt with are of the general singular type, with a left invertible transfer matrix function from the control input to the controlled output. All the static and dynamic H 2 optimal state feedback solutions are constructed and parameterized, and all the eigenvalues of an optimal closed-loop system are characterized. All optimal closed-loop systems share a set of eigenvalues which are termed the optimal fixed modes, which must be assigned among the closed-loop eigenvalues. This set includes a set of optimal fixed decoupling zeros which shows the minimum absolutely necessary number and location of pole-zero cancellations present in any H2 optimal design. It is shown that both the sets of optimal fixed modes and optimal fixed decoupling zeros do not vary
Keywords :
closed loop systems; eigenvalues and eigenfunctions; feedback; optimal control; optimisation; poles and zeros; H2 optimization; H2-optimal state feedback; dynamic solutions; eigenvalues; fixed decoupling zeros; left invertible transfer matrix function; optimal closed-loop system; optimal control; optimal fixed modes; parameterization; pole-zero cancellations; static solutions; Control systems; Control theory; Eigenvalues and eigenfunctions; Electric variables control; Hydrogen; Optimal control; Performance analysis; Poles and zeros; Senior members; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
