Finite-time disturbance attenuation control problem for singularly perturbed discrete-time systems
AuthorAbdelrahman, M. A.
Naidu, D. S.
Charalambous, Charalambos D.
Moore, K. L.
SourceOptimal Control Applications and Methods
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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. © 1998 John Wiley & Sons, Ltd.
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