A general algorithm is presented for the identification of the parameters in the transfer-function matrix of a multi-input-multi-output (MIMO) system. The approach adopted is that of expanding the system input and out...
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A general algorithm is presented for the identification of the parameters in the transfer-function matrix of a multi-input-multi-output (MIMO) system. The approach adopted is that of expanding the system input and output variables in Laguerre polynomial series. The feasibility of the method lies in the generation of linear algebraic equations in the unknown parameters and initial conditions by means of an elegant operational matrix which relates Laguerre polynomials to their integrals. An example is included to illustrate the applicability of the proposed method.
An adaptive control algorithm is presented to achieve the following design objectives: (i) input-output decoupling, (ii) complete and arbitrary pole assignment and (iii) some zero assignments in ‖z‖≥ 1 to deal with...
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An adaptive control algorithm is presented to achieve the following design objectives: (i) input-output decoupling, (ii) complete and arbitrary pole assignment and (iii) some zero assignments in ‖z‖≥ 1 to deal with the problem of high-order signal tracking. The basic idea of the paper is that, if the readability can be guaranteed, a multipurpose controller can be obtained directly from the desired transfer-function matrix (or sensitivity-functionmatrix). With this viewpoint, the diophantine equation can be avoided, so that our algorithm possesses much computational advantage over the existing approaches in adaptive pole-assignment control. As the requirement of realisability is satisfied, this algorithm can easily handle both unstable and nonminimum-phase systems.
The paper considers the problem of single-input single-output decoupling of linear multivariable two-dimensional systems. In particular, a method is presented which yields the decoupling state feedback controller matr...
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The paper considers the problem of single-input single-output decoupling of linear multivariable two-dimensional systems. In particular, a method is presented which yields the decoupling state feedback controller matrices, which, when applied to the open-loop system, yield a closed-loop system whose transfer-function matrix is diagonal and nonsingular. This, in effect, simplifies the multi-input multi-output original system to a number of single-input single-output systems. Sufficient conditions are established for the state feedback decoupling problem to have a solution. Two examples are included to illustrate the proposed decoupling method.
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