TY - JOUR

T1 - Another look at finite horizon H∞ control problems for systems with input delays

AU - Uchida, Kenko

AU - Fujita, M.

AU - Ikeda, K.

PY - 2004/6

Y1 - 2004/6

N2 - We discuss a finite horizon H∞ control problem for time-varying systems with input delays. Clarifying a relationship between two H∞ control problems in input delay case and in measurement delay case, we derive a solution in input delay case based on the known result for the H∞ control problem in measurement delay case, and show that the solution has the same predictor-observer structure as the solution in measurement delay case has. Using this structural information on the solution, we also present an elementary proof of the solution to the finite horizon H ∞ control problem for systems with input delays, which is based only on completion of squares.

AB - We discuss a finite horizon H∞ control problem for time-varying systems with input delays. Clarifying a relationship between two H∞ control problems in input delay case and in measurement delay case, we derive a solution in input delay case based on the known result for the H∞ control problem in measurement delay case, and show that the solution has the same predictor-observer structure as the solution in measurement delay case has. Using this structural information on the solution, we also present an elementary proof of the solution to the finite horizon H ∞ control problem for systems with input delays, which is based only on completion of squares.

KW - Finite horizon H control

KW - Input delay

KW - Riccati differential equations

KW - Time-varying systems

UR - http://www.scopus.com/inward/record.url?scp=2042507053&partnerID=8YFLogxK

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U2 - 10.1016/j.automatica.2004.01.005

DO - 10.1016/j.automatica.2004.01.005

M3 - Article

AN - SCOPUS:2042507053

VL - 40

SP - 977

EP - 984

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 6

ER -