ADVANCES IN DISCRETE TIME SYSTEMS by Edited by Magdi S. Mahmoud

By Edited by Magdi S. Mahmoud

This quantity brings in regards to the modern ends up in the sector of discrete-time structures. It covers papers written at the themes of strong keep watch over, nonlinear structures and up to date functions. even though the technical perspectives are various, all of them geared in the direction of concentrating on the up to date wisdom achieve by means of the researchers and offering potent advancements alongside the structures and regulate enviornment. every one subject has an in depth discussions and proposals for destiny perusal through investigators.

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Given γ and K, the descriptor system (17) is robustly admissible with H∞ disturbance attenuation γ if and only if there exist matrices P > 0, Q = [ Q1T Q2T ] T and scalars ε 1 > 0, ε 2 > 0 such that T SQ T + Q S T B Π11 AK 1 1 2  Q2 S T AK + B T SQ T Π22 1   PAK PB1   C + DK 0   HcT SQ1T HcT SQ2T 0 0   T P (C + DK ) T Q S T H AK 0 c 1 0 Q2 S T Hc 0  B1T P  −P 0 PHc 0  <0 0 −I 0 αD   0 −ε 1 I 0  HcT P 0 αD T 0 −ε 2 I (23) where AK = A + B2 K, S ∈ ℜn×(n−r) is any matrix with full column rank and satisfies E T S = 0, and T SQ T + ε G T G + ε K T K, Π11 = Q1 S T AK − E T PE + AK 2 1 c c 1 2 T T Π22 = −γ I + Q2 S B1 + B1 SQ2T .

16] Khargonekar, P. , & Rotea, M. A. (1991). Mixed H2/H∞ control: A convex optimization approach. IEEE Trans. Aut. Control, 36(7), 824-837. , & de Souza, C. E. (1995). A necessary and sufficient condition for output feedback stabilizability. Automatica, 31(9), 1357-1359. [18] Kwakernaak, H. (2002). H2-optimization-theory and application to robust control design. Annual Reviews in Control, 26, 45-56. [19] Limebeer, D. J. , Anderson, B. D. , Khargonekar, P. , & Green, M. (1992). A game theoretic approach to H∞ control for time-varying systems.

First, the robust admissibility of uncertain descriptor systems was discussed and the non-fragile control design methods were proposed. Then, theory was developed to the robust admissibility with H∞ disturbance attenuation. Necessary and Sufficient conditions for the robust admissibility with H∞ disturbance attenuation were obtained. Based on such conditions, the H∞ non-fragile controller design methods were proposed. Next, uncertain descriptor systems with delay were considered. Based on system analysis of such systems, the non-fragile control design methods were proposed.

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