@@ -45,8 +45,8 @@ transfer functions
4545.. math ::
4646
4747 G(s) = \frac {\text {num}(s)}{\text {den}(s)}
48- = \frac {a_0 s^n + a_1 s^{n -1 } + \cdots + a_n }
49- {b_0 s^m + b_1 s^{m -1 } + \cdots + b_m },
48+ = \frac {a_0 s^m + a_1 s^{m -1 } + \cdots + a_m }
49+ {b_0 s^n + b_1 s^{n -1 } + \cdots + b_n },
5050
5151 where n is generally greater than or equal to m (for a proper transfer
5252function).
@@ -77,23 +77,27 @@ performed.
7777
7878Discrete time systems
7979---------------------
80- By default, all systems are considered to be continuous time systems. A
81- discrete time system is created by specifying the 'time base' dt. The time
82- base argument can be given when a system is constructed:
80+ A discrete time system is created by specifying a nonzero 'timebase', dt.
81+ The timebase argument can be given when a system is constructed:
8382
84- * dt = None: no timebase specified
83+ * dt = None: no timebase specified (default)
8584* dt = 0: continuous time system
8685* dt > 0: discrete time system with sampling period 'dt'
8786* dt = True: discrete time with unspecified sampling period
8887
8988Only the :class: `StateSpace ` and :class: `TransferFunction ` classes allow
9089explicit representation of discrete time systems.
9190
92- Systems must have the same time base in order to be combined. For
93- continuous time systems, the :func: `sample_system ` function or the
94- :meth: `StateSpace.sample ` and :meth: `TransferFunction.sample ` methods can be
95- used to create a discrete time system from a continuous time system. See
96- :ref: `utility-and-conversions `.
91+ Systems must have compatible timebases in order to be combined. A system
92+ with timebase `None ` can be combined with a system having a specified
93+ timebase; the result will have the timebase of the latter system.
94+ Similarly, a discrete time system with unspecified sampling time (`dt =
95+ True `) can be combined with a system having a specified sampling time;
96+ the result will be a discrete time system with the sample time of the latter
97+ system. For continuous time systems, the :func: `sample_system ` function or
98+ the :meth: `StateSpace.sample ` and :meth: `TransferFunction.sample ` methods
99+ can be used to create a discrete time system from a continuous time system.
100+ See :ref: `utility-and-conversions `.
97101
98102Conversion between representations
99103----------------------------------
@@ -106,18 +110,23 @@ argument or using the explicit conversion functions :func:`ss2tf` and
106110
107111Time series data
108112================
109-
110- This is a convention for function arguments and return values that
111- represent time series: sequences of values that change over time. It
112- is used throughout the library, for example in the functions
113+ A variety of functions in the library return time series data: sequences of
114+ values that change over time. A common set of conventions is used for
115+ returning such data: columns represent different points in time, rows are
116+ different components (e.g., inputs, outputs or states). For return
117+ arguments, an array of times is given as the first returned argument,
118+ followed by one or more arrays of variable values. This convention is used
119+ throughout the library, for example in the functions
113120:func: `forced_response `, :func: `step_response `, :func: `impulse_response `,
114121and :func: `initial_response `.
115122
116123.. note ::
117- This convention is different from the convention used in the library
118- :mod: `scipy.signal `. In Scipy's convention the meaning of rows and columns
119- is interchanged. Thus, all 2D values must be transposed when they are
120- used with functions from :mod: `scipy.signal `.
124+ The convention used by python-control is different from the convention
125+ used in the `scipy.signal
126+ <https://docs.scipy.org/doc/scipy/reference/signal.html> `_ library. In
127+ Scipy's convention the meaning of rows and columns is interchanged.
128+ Thus, all 2D values must be transposed when they are used with functions
129+ from `scipy.signal `_.
121130
122131Types:
123132
@@ -177,7 +186,7 @@ conventions. The currently configurable options allow the units for Bode
177186plots to be set as dB for gain, degrees for phase and Hertz for frequency
178187(MATLAB conventions) or the gain can be given in magnitude units (powers of
17918810), corresponding to the conventions used in `Feedback Systems
180- <http://www.cds.caltech.edu/~murray/FBSwiki > `_.
189+ <http://fbsbook.org > `_ (FBS) .
181190
182191Variables that can be configured, along with their default values:
183192 * bode_dB (False): Bode plot magnitude plotted in dB (otherwise powers of 10)
@@ -190,6 +199,7 @@ Variables that can be configured, along with their default values:
190199Functions that can be used to set standard configurations:
191200
192201.. autosummary ::
193-
202+ :toctree: generated/
203+
194204 use_fbs_defaults
195205 use_matlab_defaults
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