LTI Systems

Classes for recursive evaluation of LTI systems defined by transfer functions. More...

Classes
struct	qlibs::continuousTF< order >
	Continuous transfer function for easy LTI system definition. More...
struct	qlibs::timeDelay
	Represents a time delay value for use in transportDelay constructor. More...
class	qlibs::transportDelay< numberOfDelays >
	Delays the input by a specified amount of time. You can use this class to simulate a time delay. More...
struct	qlibs::discreteTF< NB, NA >
	Discrete transfer function for easy LTI system definition. More...
class	qlibs::ltisys
	A LTI system base class. More...
class	qlibs::discreteSystem
	A LTI discrete system object. More...
class	qlibs::continuousSystem
	A LTI continuous system object. More...
class	qlibs::smithPredictor
	A Smith Predictor implementation for compensating time delays in control systems. More...

Typedefs
template<size_t order>
using	qlibs::continuousStates
	Type to specify continuous states.
template<size_t order>
using	qlibs::discreteStates
	Type to specify discrete states.
template<size_t delay>
using	qlibs::discreteDelay
	Delays the input by a specified amount of samples. You can use this class to simulate a discrete time delay.

Enumerations
enum	qlibs::ltisysType { qlibs::LTISYS_TYPE_UNKNOWN , qlibs::LTISYS_TYPE_CONTINUOUS , qlibs::LTISYS_TYPE_DISCRETE }
	All the possible natures of a LTI system. More...

Functions
constexpr timeDelay	qlibs::operator""_td (long double v)
	Literal for creating a timeDelay from a floating-point value.
constexpr size_t	qlibs::operator, (const timeDelay td, const real_t dt)
	Computes the delay in discrete steps using the comma operator.
constexpr size_t	qlibs::delayFromTime (const real_t Time, const real_t dt)
	Computes the number of discrete delays required for a specified amount of time using a defined time-step.
constexpr size_t	qlibs::delayFromTime (const timeDelay Time, const real_t dt)
	Computes the number of discrete delays required for a specified amount of time using a defined time-step.

Detailed Description

Classes for recursive evaluation of LTI systems defined by transfer functions.

For a brief description of this module, please read Recursive LTI Systems Evaluation by transfer functions.

Typedef Documentation

continuousStates

template<size_t order>

using qlibs::continuousStates

Type to specify continuous states.

discreteDelay

template<size_t delay>

using qlibs::discreteDelay

Delays the input by a specified amount of samples. You can use this class to simulate a discrete time delay.

Template Parameters

Delay

The number of samples to delay the signal.

discreteStates

template<size_t order>

using qlibs::discreteStates

Type to specify discrete states.

Enumeration Type Documentation

ltisysType

enum qlibs::ltisysType

All the possible natures of a LTI system.

Enumerator
LTISYS_TYPE_UNKNOWN	Unknown type of system
LTISYS_TYPE_CONTINUOUS	Continuous-time system
LTISYS_TYPE_DISCRETE	Discrete-time controller

Function Documentation

delayFromTime() [1/2]

size_t qlibs::delayFromTime ( const real_t Time, const real_t dt )

constexpr

Computes the number of discrete delays required for a specified amount of time using a defined time-step.

See also

transportDelay

Parameters

[in]	Time	The amount of time to delay
[in]	dt	The time step

Returns

The number of discrete delays required to delay Time seconds using the time step dt

delayFromTime() [2/2]

size_t qlibs::delayFromTime ( const timeDelay Time, const real_t dt )

constexpr

Computes the number of discrete delays required for a specified amount of time using a defined time-step.

See also

transportDelay

Parameters

[in]	Time	The amount of time to delay
[in]	dt	The time step

Returns

The number of discrete delays required to delay Time seconds using the time step dt

operator""_td()

timeDelay qlibs::operator""_td ( long double v )

constexpr

Literal for creating a timeDelay from a floating-point value.

Example:

auto d = 0.2_td; // same as timeDelay(0.2_re)

Parameters

v	The delay value in seconds.

Returns

A timeDelay instance.

operator,()

size_t qlibs::operator, ( const timeDelay td, const real_t dt )

constexpr

Computes the delay in discrete steps using the comma operator.

This allows concise syntax like:

constexpr real_t dt = 0.01_re;
size_t steps = 0.2_td, dt; // same as timeDelay(0.2_re)(dt)

Parameters

td	A timeDelay object.
dt	The time step.

Returns

The delay in steps.