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NLControl website

IO → Polynomials. State-space → IO. IO → Polynomials. State-space → IO. NLControl is a software project addressing N. The programs are implemented within the computer algebra system Mathematica. And made available online via the webMathematica. Environment and cannot be used outside of it. The NLControl website was developed to overcome this obstacle. Using webMathematica. Only the most important functions from NLControl package are available on the website. User should be familiar with basic Mathematica...

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NLControl website | webmathematica.cc.ioc.ee Reviews

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IO → Polynomials. State-space → IO. IO → Polynomials. State-space → IO. NLControl is a software project addressing N. The programs are implemented within the computer algebra system Mathematica. And made available online via the webMathematica. Environment and cannot be used outside of it. The NLControl website was developed to overcome this obstacle. Using webMathematica. Only the most important functions from NLControl package are available on the website. User should be familiar with basic Mathematica...

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nlcontrol website,main page,polynomial,algebra of,functions,preamble,continuous,input output equation,model matching,ore polynomials,realization,reduction,sequence hk,transfer function,state space form,accessibility,linearization,identifiability,discrete

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NLControl website | webmathematica.cc.ioc.ee Reviews

https://webmathematica.cc.ioc.ee

IO → Polynomials. State-space → IO. IO → Polynomials. State-space → IO. NLControl is a software project addressing N. The programs are implemented within the computer algebra system Mathematica. And made available online via the webMathematica. Environment and cannot be used outside of it. The NLControl website was developed to overcome this obstacle. Using webMathematica. Only the most important functions from NLControl package are available on the website. User should be familiar with basic Mathematica...

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webmathematica.cc.ioc.ee

1

Sequence {Hk}

http://webmathematica.cc.ioc.ee/mathematica/NLControl/main/continuous/IOSequenceH.html

IO → Polynomials. State-space → IO. IO → Polynomials. State-space → IO. The function computes the sequence of subspaces of one-forms {Hk} for the system, given by input-output equation(s). Y' '[t] = y' [t] u[t] u'[t] y[t] u[t]}. The number of subspaces:. Choose the output format:. Leave out argument t. To make the result visually more compact:.

2

Model Matching

http://webmathematica.cc.ioc.ee/mathematica/NLControl/main/discrete/IOModelMatching.html

IO → Polynomials. State-space → IO. IO → Polynomials. State-space → IO. The function solves the model matching problem, either by the feedforward or the feedback compensator. Input-output equation of the system:. Y[t 2] = y[t] u[t] u[t 1]}. Input-output equation of the reference model:. Y[t 2] = v[t]}. Type of the compensator:. Choose the output format:. Leave out argument t. To make the result visually more compact:.

3

Ore polynomials

http://webmathematica.cc.ioc.ee/mathematica/NLControl/main/discrete/IOOre.html

IO → Polynomials. State-space → IO. IO → Polynomials. State-space → IO. Choose the output format:. Leave out argument t. To make the result visually more compact:.

4

Input-output → polynomials

http://webmathematica.cc.ioc.ee/mathematica/NLControl/main/continuous/IOPolynomials.html

Input-output → Polynomials. IO → Polynomials. State-space → IO. IO → Polynomials. State-space → IO. Given the set of input-output equations, the function finds two matrices whose elements are polynomials from the non-commutative Ore polynomial ring. With the help of these matrices 'the tangent linearized system description' may be given that relates the differentials of inputs and outputs. Derivative[4][y][t] = u' [t] y'[t] 2 u'[t] y' [t]}. Choose the output format:. Leave out argument t.

5

Realization

http://webmathematica.cc.ioc.ee/mathematica/NLControl/main/continuous/IORealization.html

IO → Polynomials. State-space → IO. IO → Polynomials. State-space → IO. The function checks whether the system given by the set of input-output equations can be transformed into the classical state-space form and, if possible, finds the state coordinates and the state equations. Otherwise it informs the user that the system is not realizable in the state space form. Y1' [t] = u2[t] u1[t] y2[t], y2'[t] = u1[t] y1[t] y2[t]}. Choose the output format:. Leave out argument t.

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NLControl website

IO → Polynomials. State-space → IO. IO → Polynomials. State-space → IO. NLControl is a software project addressing N. The programs are implemented within the computer algebra system Mathematica. And made available online via the webMathematica. Environment and cannot be used outside of it. The NLControl website was developed to overcome this obstacle. Using webMathematica. Only the most important functions from NLControl package are available on the website. User should be familiar with basic Mathematica...

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