非对称约束线性离散系统的调节器问题

[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI:10.1109/CDC.1991.261705

A. Benzaouia

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引用次数: 44

摘要

考虑由方程x/ k+1/=Ax/ k/+Bu/ k/描述的线性离散系统的调节器问题，其中u/ k/=Fx/ k/是一个非对称多面体集。给出了从集合F/sup -1/出发的系统的所有运动保持在该集合内的充分必要条件。原点的渐近稳定性也得到了保证。

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The regulator problem for linear discrete-time systems with nonsymmetrical constrained control

The author considers the regulator problem for linear discrete-time systems described by the equations x/sub k+1/=Ax/sub k/+Bu/sub k/, where u/sub k/=Fx/sub k/ epsilon Omega , and Omega is a nonsymmetrical polyhedral set. A necessary and sufficient condition ensuring that all the motions of the system emanating from the set F/sup -1/ Omega remain in this set is given. The asymptotic stability of the origin is also guaranteed.<>

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[1991] Proceedings of the 30th IEEE Conference on Decision and Control

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