An alternative delay-dependent controller design is proposed for linear, continuous, time-invariant systems with unknown state delay. The resulting delay-dependent control criterion is obtained in terms of Park’s inequality for bounding cross term. The controller determined by a convex optimization algorithm with linear matrix inequality (LMI) constraints, guarantees the asymptotic stability of the closed-loop systems and reduces the effect of the disturbance input on the controlled output to within a prescribed level. A numerical example illustrates the effectiveness of our method.
A New Approach to Delay-Dependent Control of Linear State-Delayed Systems
Contributed by the Dynamic Systems, Measurement, 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 March 15, 2002; Dynamic Systems and Control Division final revision, August 15, 2003. Associate Editor: N. Olgac.
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Wang , D. (April 12, 2004). "A New Approach to Delay-Dependent Control of Linear State-Delayed Systems ." ASME. J. Dyn. Sys., Meas., Control. March 2004; 126(1): 201–205. https://doi.org/10.1115/1.1650382
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