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Minimum H-norm regulation of linear discrete-time systems and its relation to linear quadratic discrete games

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2 Author(s)
Yaesh, I. ; Dept of Electron. Syst., Tel-Aviv Univ., Ramat-Aviv, Israel ; Shaked, U.

A solution is derived to the H-optimization problem that arises in multivariable discrete-time regulation when the controller has full access to the state vector. The solution method is based on the close relations that exist between linear quadratic differential game theory and H-optimization. The existing theory of discrete-time quadratic games is readily applied in order to derive the solution to a finite-time horizon version of the H-optimization problem. The solution of the infinite-time horizon H-optimization problem is obtained by formally taking the limit of the number of stages to infinity

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Automatic Control, IEEE Transactions on  (Volume:35 ,  Issue: 9 )