1入力多出力線形離散時間系のH_2制御性能限界 [in Japanese] H_2 Control Performance Limitations for SIMO Linear Discrete-Time Systems [in Japanese]
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This paper is concerned with intrinsic control performance limitations achievable by feedback for single-input and multi-output (SIMO) possibley unstable and non-minimum phase linear discrete-time systems. We investigate two typical <I>H</I><SUB>2</SUB> optimal control problems, namely optimal tracking control problem and minmal energy control problem. We derive closed-form analytical expressions of the best achievable tracking error and minmal energy <I>H</I><SUB>2</SUB> norms. The former consists of plant gain as well as unstable poles and non-minimum phase zeros of the plant, while the latter is only given by unstable poles and non-minimum phase zeros of the plant. Those results are confirmed by several numerical examples, and they characterize easiness and difficulty of plants to be controlled.
- Transactions of the Institute of Systems, Control and Information Engineers
Transactions of the Institute of Systems, Control and Information Engineers 19(10), 391-399, 2006-10-15
THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)