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Norm based robust control of state-constrained discrete-time linear systems

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1 Author(s)
Sznaier, M. ; Dept. of Electr. Eng., Univ. of Central Florida, Orlando, FL, USA

The author presents a theoretical framework for analyzing the stability properties of constrained discrete-time systems in the presence of uncertainty, and it is shown that this formalism provides a unifying approach, including as a particular case the well-known technique of estimating robustness bounds from the solution of a Lyapunov equation. These results are applied to the problem of designing feedback controllers capable of stabilizing a family of systems, while at the same time satisfying state-space constraints

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Automatic Control, IEEE Transactions on  (Volume:37 ,  Issue: 7 )