from numpy import sqrt, arcsin, arccos, cos, sin from src.OptAlgorithm.AutoConfigClass import AutoConfigClass from src.OptAlgorithm.ConstantCalculator import ConstantCalculator class OptTimeCalculator(AutoConfigClass): params_list = [] def __init__(self, operator_config : dict, system_config : dict): cCalculator = ConstantCalculator(operator_config, system_config) super().__init__(OptTimeCalculator.params_list, operator_config, system_config, cCalculator.calc()) self.allTimes = {} def tGrowNominal(self, F : float) -> float: return arcsin(F/(self.Ftogrow)) * sqrt(self.mass_1/self.k_hardness_1) def Tclose(self, h1: float, h2: float) -> None: v0q = min(sqrt(2 * self.a_max_1 * h1), self.v_max_1) v0 = min(v0q, sqrt(1/(self.k_hardness_1*self.mass_1))* self.Ftogrow) t1 = v0 / self.a_max_1 t2t = max(0, (h1 - (self.a_max_1 * t1 * t1 /2)) / v0q) T1 = t1 + t2t t21 = sqrt(h2/self.a_max_2) t21 = min(self.v_max_2/self.a_max_2, t21) t22 = max(0, (h2 - (self.a_max_2 * t21 * t21)) / self.v_max_2) T2 = t22 + 2 * t21 Tclose = max(T1, T2) tclose_1_acc, tclose_1_speed = self.calcFirstClose(Tclose, h1) tclose_2_acc, tclose_2_speed = self.calcSecondClose(Tclose, h2) self.allTimes["tclose_1_acc"] = tclose_1_acc self.allTimes["tclose_1_speed"] = tclose_1_speed self.allTimes["tclose_2_acc"] = tclose_2_acc self.allTimes["tclose_2_speed"] = tclose_2_speed self.allTimes["tclose"] = Tclose def Topen(self, s1 : float, s2 : float, l1 : float, l2 : float, Fs1 : float, Fs2 : float = 0) -> None: t11 = sqrt((l1 + Fs1)/self.a_max_1) t11 = min(self.v_max_1/self.a_max_1, t11) t12 = max(0, ((l1+Fs1) - (self.a_max_1 * t11 * t11)) / self.v_max_1) T1 = t12 + 2 * t11 offset = self.calcSecondOpenOffset(t11, t12, Fs1) t21 = sqrt(l2/self.a_max_2) t21 = min(self.v_max_2/self.a_max_2, t21) t22 = max(0, (l2 - (self.a_max_2 * t21 * t21)) / self.v_max_2) T2 = t22 + 2 * t21 + offset topen_1_acc, topen_1_speed = self.calcFirstOpen(T1, l1+Fs1) offset = self.calcSecondOpenOffset(topen_1_acc, topen_1_speed, Fs1) topen_2_acc, topen_2_speed = self.calcSecondOpen(T2 - offset, l2) self.allTimes["topen_1_acc"] = topen_1_acc self.allTimes["topen_2_offset"] = offset self.allTimes["topen_1_acc"] = topen_1_acc self.allTimes["topen_1_speed"] = topen_1_speed self.allTimes["topen_2_acc"] = topen_2_acc self.allTimes["topen_2_speed"] = topen_2_speed if s1 >= l1: raise Exception("""S1 >= L1 - недопустимый сценарий, проверьте dist_open_after_1, dist_close_end_1""") if s2 >= l2: raise Exception("""S2 >= L2 - недопустимый сценарий, проверьте dist_open_after_2, dist_close_end_2""") s1 += Fs1 topen_1_mark = sqrt(2 * s1 / self.a_max_1) if topen_1_mark > topen_1_acc: s1 -= topen_1_acc ** 2 * self.a_max_1 / 2 v1 = topen_1_acc * self.a_max_1 if s1 > topen_1_speed * v1: s1 -= topen_1_speed * v1 topen_1_mark = 2*topen_1_acc + topen_1_speed - sqrt(topen_1_acc**2 - 2*s1 / self.a_max_1) else: topen_1_mark = topen_1_acc + s1 / v1 topen_2_mark = sqrt(2 * s2 / self.a_max_2) if topen_2_mark > topen_2_acc: s2 -= topen_2_acc ** 2 * self.a_max_2 / 2 v2 = topen_2_acc * self.a_max_2 if s2 > topen_2_speed * v2: s2 -= topen_2_speed * v2 topen_2_mark = 2*topen_2_acc + topen_2_speed - sqrt(topen_2_acc**2 - 2*s2 / self.a_max_2) else: topen_2_mark = topen_2_acc + s2 / v2 self.allTimes["topen_1_mark"] = topen_1_mark self.allTimes["topen_2_mark"] = topen_2_mark def Tgrow(self) -> None: v0 = self.allTimes["tclose_1_acc"] * self.a_max_1 vF0 = v0 * self.k_hardness_1 vFmax = min(self.v_max_1 * self.k_hardness_1, sqrt(self.k_hardness_1/(self.mass_1))* self.Ftogrow) L = sqrt(self.k_hardness_1 / self.mass_1 * self.eff_control ** 2 + vF0*vF0) tspeed = sqrt(self.mass_1/self.k_hardness_1) * (arcsin(vFmax / L) - arccos(sqrt(self.k_hardness_1 / self.mass_1) * self.eff_control / L)) Fspeed = - self.eff_control * cos(self.freq * tspeed) + self.eff_control + 1/self.freq * vF0 * sin(self.freq * tspeed) eps = 1e1 if self.freq**2 * self.Ftogrow**2 - vFmax**2 < -eps: raise Exception("""Номинальная траектория набора усилия не может быть достигнута, максимальная скорость превысила скорость траектории , проверьте параметры k_hardness_1, mass_1, k_prop""") Fmeet = 1/self.freq * sqrt(self.freq**2 * self.Ftogrow**2 - vFmax**2 + eps) Fstart_prop = self.Fstart_prop if Fmeet > Fstart_prop: raise Exception("""Номинальная траектория набора усилия была достигнута на фазе подпора , проверьте параметры v_max_1, k_prop""") tmeet = (Fmeet - Fspeed)/vFmax tend = self.tGrowNominal(Fstart_prop) - self.tGrowNominal(Fmeet) vp = 1/sqrt(self.k_hardness_1 * self.mass_1) * sqrt(self.Ftogrow**2 - self.Fstart_prop**2) ap = Fstart_prop / self.mass_1 tprop = 2*vp / ap self.allTimes["tspeed"] = tspeed self.allTimes["tmeet"] = tmeet self.allTimes["tend"] = tend self.allTimes["tprop"] = tprop self.allTimes["tgrow"] = tspeed + tmeet + tend + tprop def T(self, h1 : float, h2 : float, s1 : float, s2 : float, l1 : float, l2 : float) -> dict: self.Tclose(h1, h2) self.Tgrow() self.Topen(s1, s2, l1, l2, self.force_target / self.k_hardness_1, 0) return self.allTimes def Tmovement(self, closeAlgo, tmark) -> None: contact = [self.dist_open_start_1 + self.position_start_1, self.dist_open_start_2 + self.position_start_2] v0s = [] pos0s = [] for i in range(1,3): if tmark < 0: raise Exception("""Отрицательное время этапа раскрытия, проверьте dist_open_after_{1,2}, time_command""") v0 = closeAlgo("V"+str(i), "Open", tmark) v0s.append(v0) x0 = closeAlgo("X"+str(i), "Open", tmark) x1 = contact[i-1] - self.__dict__["dist_close_end_"+str(i)] x = x1 - x0 pos0s.append(closeAlgo("X"+str(i), "Open", tmark)) Tfull = self.time_robot_movement L = self.__dict__["dist_open_end_"+str(i)] maxL = contact[i-1] - L - x0 self.Tmovementi(i, x, Tfull, v0, maxL) return pos0s, v0s def Tmovementi(self, i, Sfull, Tfull, v0, maxL) -> None: v0 = abs(v0) vmax = self.__dict__["v_max_"+str(i)] a = self.__dict__["a_max_"+str(i)] t3 = (Tfull + v0 / a) / 2 sqrtval = a**2 * (a**2 * (Tfull+2*t3)**2 - 8 * a * Sfull + 2 * a* v0 * (Tfull+2*t3) - 3 *v0**2) if sqrtval < 0: raise Exception("""Невозможно с S_{i} добраться но H*_{i} за указанное время, проверьте dist_open_after_{i}, dist_close_end_{i}, time_command, time_robot_movement""") t1max = ((Tfull+2*t3) + v0/a)/(2) - sqrt(sqrtval) * sqrt(2)/(4*a**2) t1 = min(t1max, (vmax- abs(v0))/a) t1 = max(0, min(t1, -v0/a + sqrt(v0**2 / (a**2) + (abs(maxL)-v0*v0/a)/a))) t31 = v0/a + t1 t5max = (Tfull - v0/a)/2 - t1 v1 = v0 + a * t1 S1 = v0*t1 + a*t1*t1/2 + v1*t31 - a*t31*t31/2 S2max = Sfull + S1 t5 = min(t5max, (vmax)/a, sqrt(S2max / a)) t3 = abs(v0)/a + t1 + t5 t32 = t5 v1 = abs(v0+t1*a) v3 = abs(v0 + t1*a - t3*a) timeleft = Tfull - t1 - t5 - t3 sq = -v0*t1 - a*t1**2/2 - v1 * t3 + a*t3**2/2 + v3*t5 - a*t5**2/2 Sleft = Sfull - sq t2max = (timeleft - Sleft/v3) / (1 + v1/v3) Smovement = -v0 * t1 - a/2 * t1**2 - v1 * t31 + a/2*t31**2 t2 = max(0, min(t2max, (abs(maxL) - abs(Smovement))/v1)) t4 = max(0, Sleft/v3 + v1/v3 * t2) tstay = max(0, Tfull - t1 - t2 - t3 - t4 - t5) self.allTimes["tmovement_"+str(i)+"_acc"] = t1 self.allTimes["tmovement_"+str(i)+"_speed"] = t2 self.allTimes["tmovement_"+str(i)+"_slow"] = t31 self.allTimes["tmovement_"+str(i)+"_stay"] = tstay self.allTimes["tmovement_"+str(i)] = t1 + t2 + t31 + tstay self.allTimes["tpreclose_"+str(i)+"_slow"] = t32 self.allTimes["tpreclose_"+str(i)+"_speed"] = t4 self.allTimes["tpreclose_"+str(i)+"_acc"] = t5 self.allTimes["tpreclose_"+str(i)] = t32 + t4 + t5 T = Tfull self.allTimes["tmovement"] = T def calcFirstClose(self, T : float, s : float) -> tuple[float, float]: t1 = T - sqrt(max(0, T**2 - 2 * s / self.a_max_1)) t1 = min(t1, self.v_max_1 / self.a_max_1) t2 = sqrt(max(0, T**2 - 2 * s / self.a_max_1)) return t1, t2 def calcFirstOpen(self, T : float, s : float) -> tuple[float, float]: t1 = T / 2 - sqrt(max(0, T**2 - 4 * s / self.a_max_1)) / 2 t1 = min(t1, self.v_max_1 / self.a_max_1) t2 = sqrt(max(0, T * T - 4 * s / self.a_max_1)) return t1, t2 def calcSecondOpen(self, T : float, s : float) -> tuple[float, float]: t1 = T / 2 - sqrt(max(0, T**2 - 4 * s / self.a_max_2)) / 2 t1 = min(t1, self.v_max_2 / self.a_max_2) t2 = sqrt(max(0, T * T - 4 * s / self.a_max_2)) return t1, t2 def calcSecondClose(self, T : float, s : float) -> tuple[float, float]: t1 = T / 2 - sqrt(max(0, T**2 - 4 * s / self.a_max_2)) / 2 t1 = min(t1, self.v_max_2 / self.a_max_2) t2 = sqrt(max(0, T * T - 4 * s / self.a_max_2)) return t1, t2 def calcSecondOpenOffset(self, t1 : float, t2 : float, sq : float) -> float: s = sq * 1 offset = sqrt(2 * s / self.a_max_1) if offset > t1: s -= t1 ** 2 * self.a_max_1 / 2 v1 = t1 * self.a_max_1 if s > t2 * v1: s -= t2 * v1 offset = 2*t1 + t2 - sqrt(t1**2 - 2*s / self.a_max_1) else: offset = t1 + s / v1 return offset