Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/174674
Title: H [INFINITY SYMBOL] FOR SINGULAR LINEAR TIME-INVARIANT SYSTEMS
Authors: HE JUN
Issue Date: 1998
Citation: HE JUN (1998). H [INFINITY SYMBOL] FOR SINGULAR LINEAR TIME-INVARIANT SYSTEMS. ScholarBank@NUS Repository.
Abstract: Over the past seventeen years one has witnessed a proliferation of literature on H?- norm control since it was first introduced by Zames (1981). A great deal of work has been done on the formulation of the H? problem for robust multivariable control and its solution. In this thesis, we study the H?-control problem for singular linear time-invariant systems whose two subsystems, i.e., the subsystem from the control input to the controlled output and that from the disturbance to the measurement out, are allowed to have invariant zeros on the boundary of the stability domain. In particular, we have presented a set of necessary and sufficient conditions for the solvability of the H? almost disturbance decoupling problem with measurement feedback and with internal stability for general discrete-time systems. These conditions are expressed in terms of geometric subspaces of the two subsystems and furthermore, an algorithm has been developed to verify these conditions without acutally calculating any geometric subspaces at all. A step-by-step procedure has also been given to compute the H? optimization infimum ?* for a class of discrete time systems that satisfy certain geometric conditions. The computation involves only the solutions of some ?-independent equations.
URI: https://scholarbank.nus.edu.sg/handle/10635/174674
Appears in Collections:Master's Theses (Restricted)

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