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Finite-time disturbance attenuation control problem for singularly perturbed discrete-time systems

✍ Scribed by Mohamed A. Abdelrahman; D. Subbaram Naidu; Charalambos Charalambous; Kevin L. Moore

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
98 KB
Volume
19
Category
Article
ISSN
0143-2087

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✦ Synopsis

In this paper, we consider the problem of finite-time H -optimal control of linear, singularly perturbed, discrete-time systems. The problem is addressed from the game theoretic approach. This leads to a singularly perturbed, matrix Riccati difference equation, the solution of which is given in terms of an outer series solution, and a boundary-layer correction series solution. We show that the disturbance attenuation level achieved by the singular perturbation method, compared to the full-order solution, depends on the order of approximation. The theory is illustrated by considering two examples.

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