相対次数に依存しない連続時間MRACSの構成

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  • A Design of MRACS for Linear Plants with Unknown Relative Degrees
  • ソウタイ ジスウ ニ イゾンシナイ レンゾク ジカン MRACS ノ コウセイ

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This paper proposes a model reference adaptive control system (MRACS) for any SISO, continuous-time, minimum-phase linear plants. From the thoretical viewpoint, the only required a priori information about the plant is that the upper bound of the plant degree be known. The exact value of the plant relative degree is not required.<br>Since the upper bound of relative degree of the plant is finite and is known, we can consider the finite number of parameter adjustment rules, each of which is constructed from the possible relative degree and the possible sign of high frequency gain of the plant. The adaptive algorithm is to switch these rules until the parameters converge.<br>The stability analysis consists of two steps. The first step shows that the parameter adjustment rules are switched at most finite times. In the second step it is shown that all the states of the control system are uniformly bounded and the output error converges to zero.<br>Computer simulations are performed to illustrate the validity of the proposed control system.

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