Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/80336
Title: Construction and parameterization of all static and dynamic H2-optimal state feedback solutions for discrete-time systems
Authors: Chen, B.M. 
Saberi, A.
Shamash, Y.
Sannuti, P.
Keywords: control theory
discrete-time systems
Optimal control
Issue Date: Oct-1994
Source: Chen, B.M.,Saberi, A.,Shamash, Y.,Sannuti, P. (1994-10). Construction and parameterization of all static and dynamic H2-optimal state feedback solutions for discrete-time systems. Automatica 30 (10) : 1617-1624. ScholarBank@NUS Repository.
Abstract: This paper considers an H2 optimization problem via state feedback for discrete-time systems. The class of problems dealt with here has a left invertible transfer matrix function from the control input to the controlled output. The paper constructs and parameterizes all the static and dynamic H2-optimal state feedback solutions. Moreover, 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. Every H2-optimal controller must assign among the closed-loop eigenvalues the set of optimal fixed modes. This set of optimal fixed modes includes a set of optimal fixed decoupling zeros which shows the minimum absolutely necessary number and locations of pole-zero cancellations present in any H2-optimal design. Most of the results presented here are analogous to, but not quite the same as, those for continuous-time systems. In fact, there are some fundamental differences between the continuous and discrete-time systems reflecting mainly the inherent nature and characteristics of these systems. © 1994.
Source Title: Automatica
URI: http://scholarbank.nus.edu.sg/handle/10635/80336
ISSN: 00051098
Appears in Collections:Staff Publications

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