In this paper, the state-feedback mixed control problem for state-delayed linear systems is considered. Sufficient conditions for the solvability of this problem are given in terms of the solution to a pair of algebraic Riccati equations similar to the nondelayed case. However, these Riccati equations are more difficult to solve than those arising in the pure problems, and an alternative approach is to solve a pair of linear matrix inequalities (LMIs).
Mixed H2/H∞ Control for State-Delayed Linear Systems and a LMI Approach to the Solution of Coupled AREs
Contributed by the Dynamic Systems and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the ASME Dynamic Systems and Control Division, February 2002; final revision, January 2003 Associate Editor: N. Olgac.
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Aliyu , M. D. S. (June 4, 2003). "Mixed H2/H∞ Control for State-Delayed Linear Systems and a LMI Approach to the Solution of Coupled AREs ." ASME. J. Dyn. Sys., Meas., Control. June 2003; 125(2): 249–253. https://doi.org/10.1115/1.1570451
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