ある種の双線形システムのオブザ-バ構成法

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This paper presents methods to construct an observer and an adaptive observer for the bilinear systems described as follows:x(k+1)=ui(k)Ax(k)+Bu(k)y(k)=Cx(k), where x(k) is an n×1 state vector, u(k) is an r×1 input vector, y(k) is an m×1 output vector, ui(k) is the i-th element of the vector u(k), and A, B, C are real matrices of proper dimensions. An example of this type of bilinear systems appears, for instance, in a heatexchange process. In this paper, it is supposed thatrank [CT, ATCT, …, (An-1)TCT]T=n.The observer proposed here has an advantage that the estimated value of the state vector agrees with a true one in a finite number of steps and the adaptive observer also has the same property for the input with sufficient generality.
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