From 8d81e5b7f40c6db90699bfa7cb7572e53c090a3a Mon Sep 17 00:00:00 2001 From: mariusmonton Date: Sun, 8 Nov 2020 16:46:09 +0100 Subject: [PATCH] Completat capitol servomotors --- capitol_3.tex | 108 ++++++++++++++++++++++++++++++++++++++++- imatges/Servo_0.png | Bin 0 -> 2313 bytes imatges/Servo_180.png | Bin 0 -> 2398 bytes imatges/servomotor.png | Bin 0 -> 2368189 bytes main.tex | 1 + 5 files changed, 108 insertions(+), 1 deletion(-) create mode 100644 imatges/Servo_0.png create mode 100644 imatges/Servo_180.png create mode 100644 imatges/servomotor.png diff --git a/capitol_3.tex b/capitol_3.tex index b85a42a..23811ee 100644 --- a/capitol_3.tex +++ b/capitol_3.tex @@ -772,15 +772,121 @@ \section{Generar PWM} \section{Controlant un servomotor} Un servomotor és un dispositiu electromecànic de control senzill. La majoria d'ells son rotatius i permeten controlar l'angle d'actuació del motor amb un senyal digital, normalment un senyal PWM. Així, el que se sol necessitar és un senyal PWM a una freqüència determinada i un temps actiu entre certs valors que provocaran un moviment proporcional al motor. -En el cas del servo que tinc entre mans, un Parallax Standard Servo (\#900-00005) (link al seu DataSheet), cal un PWM a 50 Hz i uns temps mínims de 0.75 ms i màxim de 2.25 ms. Aquests temps faran que el servo es mogui entre els 0º i els 180º de rotació. +En el cas del servo que tinc entre mans, un Parallax Standard Servo (\#900-00005) (veure Figura~\ref{fig:servomotor}) +(\href{https://www.parallax.com/sites/default/files/downloads/900-00005-Standard-Servo-Product-Documentation-v2.2.pdf}{enllaç al seu DataSheet}), +cal un PWM a 50 Hz i uns temps mínims de 0.75 ms i màxim de 2.25 ms. +Aquests temps faran que el servo es mogui entre els 0º i els 180º de rotació. +\begin{figure} + \centering + \includegraphics[width=0.40\textwidth, keepaspectratio]{imatges/servomotor.png} + \caption{Fotografia del servomotor Parallax usat} + \label{fig:servomotor} +\end{figure} + + +Cal aplicar la següent fórmula per saber el valor TOP del nostre TIMER: \begin{displaymath} % \text{Freq. de PWM} = \frac{\text{Freq Clk}}{\text{prescaler} * \text{valor TOP}} - 1 = \frac{14.000.000 \text{ Hz}}{256 * (4000 +1 )} = 13.67 \text{ Hz} TOP = \frac{f_{CPU}}{ f_{PWM} * PRESCALER} - 1 \end{displaymath} +Com que la freqüència d'entrada és 14.000.000 Hz, la freqüència del PWM ha de ser 50 Hz i TOP no pot ser més gran de 65.536 (16 bits) cal que triem el {\it prescaler} acuradament. +De fet, podríem triar un prescaler de 1024 i ens donaria un valor per TOP de 272. Però amb aquest valor perdem molta resolució per generar el PWM, ja que el {\em timer} +només podrà arribar fins a aquest valor. Si triem un valor més petit pel prescaler, augmentem la resolució i la qualitat del senyal del PWM. Així, si triem un valor de pre-escalat de 8 ens +resulta que TOP ha de valor 34999. Aquest valor és el més gran que podem generar d'aquesta forma i que càpiga en 16 bits, ja que el següent pre-escalat ens dona un valor +massa gran. + +Així doncs, tenim que per generar un PWM 50 HZ calen 34999 {\em ticks} del {\em timer}. +Com que la fulla d'especificacions del servomotor ens diu que el temps de pols positiu ha d'anar dels 0.75 ms fins els 2.25 ms, cal saber quants {\em ticks} els corresponent. + +Si fem una simple regla de tres tenim: + +\begin{displaymath} + 0 \degree \rightarrow \frac{0.75 \ ms}{20 \ ms} * 34.999 = 1312,4625 \simeq 1312 +\end{displaymath} + +i + +\begin{displaymath} + 180 \degree \rightarrow \frac{2.25 \ ms}{20 \ ms} * 34.999 = 3937,3875 \simeq 3937 +\end{displaymath} + +I ja tenim els dos valors màxims i mínims per controlar correctament el servomotor en qüestió i ens podem muntar una funció que ens passi +de graus de rotació a {\em counts} del PWM per simplificar el codi (Llistat~\ref{degreestopwm}). + +\index{degrees\_to\_pwm()} +\begin{lstlisting}[style=customc,caption={Funció que calcula els {\em counts} donat els graus que es vol del servomotor},label=degreestopwm] +#define PWM_FREQ (34999) +#define PWM_0 (1312) +#define PWM_180 (3937) + +uint32_t degrees_to_pwm(uint32_t degrees) { + uint32_t ret_value = 0; + + if (degrees < 180) { + ret_value = (degree * (PWM_180 - PWM_0) / 180 ) + PWM_0; + } else { + ret_value = PWM_180; + } + + return ret_value; +} +\end{lstlisting} + +A les figures~\ref{fig:pwm_0_servo} i \ref{fig:pwm_180_servo} es veu el senyal PWM generat pels casos de 0\degree i 180\degree. Es veu que les mesures de l'oscil·loscopi +donen 50 Hz i un temps del pols positiu de 0.5 ms i 2.25 ms. +\begin{figure} + \centering + \includegraphics[width=0.85\textwidth, keepaspectratio]{imatges/Servo_0.png} + \caption{PWM per situar el servomotor a 0 \degree} + \label{fig:pwm_0_servo} +\end{figure} + +\begin{figure} + \centering + \includegraphics[width=0.85\textwidth, keepaspectratio]{imatges/Servo_180.png} + \caption{PWM per situar el servomotor a 180 \degree} + \label{fig:pwm_180_servo} +\end{figure} + +I posem un codi a les ISR dels dos botons perquè incrementi (decrementi) el valor en graus on volem situar el servo: La resta del codi està al repositori en aquest +\href{https://github.com/mariusmm/cursembedded/tree/master/Simplicity/PWM_2}{enllaç}. + +\index{GPIO\_EVEN\_IRQHandler()} +\begin{lstlisting}[style=customc,caption={ISR del botó que incrementa la rotació del servomotor},label=servoirq] +void GPIO_EVEN_IRQHandler(void) { + uint32_t aux; + + aux = GPIO_IntGet(); + + /* clear flags */ + GPIO_IntClear(aux); + + degree += 30; + + if (degree > 180) { + degree = 180; + } + + pwm_value = degrees_to_pwm(degree); + + TIMER_CompareBufSet(TIMER1, 1, pwm_value); +} +\end{lstlisting} + +\begin{remark} + En el meu cas i amb el servomotor que tinc, s’observa que quan està en repòs de tant en tant se sent com el servo fa algun moviment o “crec”. + No n’estic segur, però pot ser que sigui perquè la freqüència del PWM no sigui prou estable i s’escurci un pel i se surti d’especificacions. + En aquest cas millora si s’allarga el període del PWM augmentant una mica el valor de PWM\_FREQ. +\end{remark} + +\begin{remark} + També veig que si el mínim el poso a 0.75 ms el servo no arriba a fer 180º de rotació i puc baixar el mínim fins a 0.5ms i que tot segueixi funcionat. + En aquest cas el valor de PWM\_0 és 875. +\end{remark} \chapter{\em Watchdog} diff --git a/imatges/Servo_0.png b/imatges/Servo_0.png new file mode 100644 index 0000000000000000000000000000000000000000..a651c6a85fa24931df4f05b6c014a798ba4251fe GIT binary patch literal 2313 zcmY*b3pA8l8~#2s<1%OvlGGx@)Qrm@w+Ri$#E2oLB03CaPHtmja%s>9wfFnH&-*;%biXEfHimlYd}|57tF!1p-TJ?MquzB7iVxy#&{G? 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