File kernel/src/modelingTools/RelayNSL.hpp#
Go to the source code of this file
formalization of the Relay nonsmooth law
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class RelayNSL : public NonSmoothLaw
- #include <RelayNSL.hpp>
This class formalizes the Relay nonsmooth law i.e.
\[ -y \in \mathcal{N}_{[lb,ub]}(\lambda), \]where \( lb \) is the lower bound and \( ub \) is the upper bound of the Relay law.
In this default case, the lower bound is set to \( lb=-1 \) and the upper bound ub is set to \( ub=1 \). We get the well-known form of the RelayNSL as the multivalued sign function, i.e.
\[ y \in -\mathcal{N}_{[-1,1]}(\lambda) \Longleftrightarrow \lambda \in -\mbox{sgn} (y) \]where the multi-valued sign function is defined as
\[\begin{split} \mbox{sgn} (y) = \left\{ \begin{array}{lcl} 1 && y >0 \\ [-1,1] && y =0 \\ -1 && y <0 \end{array}\right. \end{split}\]- Todo:
Build the Sgn NonSmoothLaw as the default instance of Relay
Public Functions
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RelayNSL(unsigned int size, double lb = -1.0, double ub = 1.0)
constructor with the value of the RelayNSL attributes
- Parameters:
size – size of the NonSmoothLaw
lb – lower endpoint of the interval, default value is -1.0
ub – upper endpoint of the interval, default value is 1.0
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~RelayNSL()#
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virtual bool isVerified() const override
check the ns law to see if it is verified
- Returns:
true if the NS Law is verified, false otherwise
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inline double lb() const
to get lb
- Returns:
the value of lb
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inline void setLb(double lb)
to set the lower bound
- Parameters:
lb – the new lower bound
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inline double ub() const
to get ub
- Returns:
the value of ub
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inline void setUb(double ub)
to set ub
- Parameters:
ub – the new upper bound
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virtual void display() const override
print the data to the screen
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ACCEPT_STD_VISITORS()#