Exact model matching scheme for finite Volterra series systems

Yamanaka, Osamu; Ito, Hiroshi; Ohmori, Hitoshi; Sano, Akira

doi:10.1109/cdc.1994.411124

Cited by 5 publications

(3 citation statements)

References 3 publications

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“…Consider the RNS (1) with delay orders d; < 00, = 1,... ,p, 1.e., the system, described by Egs. (4). The so-called decoupling matrix K (x,u) for the system (1) is defined as…”

Section: Equilibrium Pointmentioning

confidence: 99%

“…Observe that the Jacobian matrix of the right-hand side of (8) with respect to u(t) equals K (z(t),u(t)). So we may apply the implicit function theorem yielding locally u(t) as an analytic function of z(¢) and y (t + d 1),... ,yz],'/f(t + dp), i.e., u(t) = a(z(t),yl" (t + d 1),... , 4 (t + dp)) such that yi! (t + di) : = A(z(t), a(z(t),y (t+dl),---»y 7 (t+dp))).…”

Section: The Formulation and The Solution Of The Model Matching Problemmentioning

confidence: 99%

“…There are only https://doi.org/10.3176/phys.math.1997. 4.03 few papers concerning the problem for nonlinear systems which are represented by input-output models. In [*®] the MMP is studied for the systems described by the Volterra series.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Model Matching Problem for Nonlinear Recursive Systems

Kotta¹

1997

Proceedings of the Estonian Academy of Sciences. Physics. Mathe

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The model matching problem for a discrete-time nonlinear system, described by a higher-order difference equation relating the input, the output, and a finite number of their time shifts is studied. A local solution around a regular equilibrium point of the system is given for the case when the system s (dy, . . . , dp)-forward time-shift right invertible. The necessary and sufficient conditions for solvability of the problem are derived in terms of the delay orders of the system and the model. The paper does not give any algorithm which explicitly constructs the controller; it only describes how to obtain such controller. The solution proposed in the paper relies on the application of the implicit function theorem and is a natural extension of the corresponding solution for nonlinear systems in the state space form.

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“…Consider the RNS (1) with delay orders d; < 00, = 1,... ,p, 1.e., the system, described by Egs. (4). The so-called decoupling matrix K (x,u) for the system (1) is defined as…”

Section: Equilibrium Pointmentioning

confidence: 99%

Section: The Formulation and The Solution Of The Model Matching Problemmentioning

confidence: 99%