import numpy as np from numpy import sqrt, arcsin, arccos, cos, sin, array from OptAlgorithm.AutoConfigClass import AutoConfigClass from 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 = {} self.check_eps = 1e-7 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 hleft = max(0, h1 - (self.a_max_1 * t1 * t1 / 2)) t3 = min(max(0, v0q - v0)/ self.a_max_1, sqrt(self.a_max_1 * hleft)) v1 = (t1 + t3) * self.a_max_1 hleft2 = h1 - (self.a_max_1 * (t1+t3) * (t1+t3) / 2) - v1 * t3 + t3**2 * self.a_max_1 / 2 t2t = max(0, hleft2 / v1) T1 = t1 + t2t + t3 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_wait, tclose_1_acc, tclose_1_speed, tclose_1_dec = 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_1_wait"] = tclose_1_wait self.allTimes["tclose_1_dec"] = tclose_1_dec 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 distance_s_1, distance_h_end1""") if s2 >= l2: raise Exception("""S2 >= L2 - недопустимый сценарий, проверьте distance_s_2, distance_h_end2""") 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(max(0,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(max(0,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): contact = [self.contact_distance_1, self.contact_distance_2] v0s = [] pos0s = [] for i in range(1, 3): if tmark < 0: raise Exception("""Отрицательное время этапа раскрытия, проверьте distance_s_{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__["distance_h_end" + str(i)] x = x1 - x0 pos0s.append(closeAlgo("X" + str(i), "Open", tmark)) Tfull = self.time_robot_movement L = self.__dict__["distance_l_" + str(i)] maxL = 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)] if vmax < v0 - self.check_eps: raise Exception("Ошибка - скорость в начале перемещения больше макимальной - проверьте скорость") a = self.__dict__["a_max_" + str(i)] Sfull = -Sfull time_eps = 1e-8 T = 0 if Sfull > 0: S1_min = max(Sfull,v0*v0 / (2*a)) + 1e-7 else: S1_min = v0*v0 / (2*a) + 1e-7 S1_max = maxL if S1_min > S1_max: raise Exception("Ошибка - невозможно перемещение робота из-за слишком большого оффсета следующей заготовки - не хватает максимального раскрытия") # calc for S1 def calc_Tmovement_for_S1(S1): S2 = -Sfull + S1 if S2 < 0: raise Exception("Ошибка - прохождение второй части перемещения - отрицательно, неизвестное поведение") t1_theory = -v0 / a + sqrt(v0 * v0 / (2 * a * a) + S1 / a) t1 = min(t1_theory, max(0, vmax - v0) / a) v2 = v0 + t1 * a t31 = v2 / a S1_fact = v0 * t1 + a * t1 ** 2 / 2 + v2 * t31 - a * t31 ** 2 / 2 t2 = max(0, (S1 - S1_fact) / v2) T1 = t1 + t31 + t2 t32_theory = sqrt(S2 / a) t32 = min(t32_theory, (vmax) / a) v4 = t32 * a t5 = t32 S2_fact = a * t32 ** 2 / 2 + v4 * t5 - a * t5 ** 2 / 2 t4 = max(0, (S2 - S2_fact) / v4) T2 = t32 + t4 + t5 T = T1 + T2 return T, (t1, t2, t31, t32, t4, t5) T_min, _ = calc_Tmovement_for_S1(S1_min) if T_min > Tfull: raise Exception(f"""Ошибка - время перемещения слишком мало, чтобы хотя бы закончить раскрытие, проверьте скорость, ускорение, время перемещения робота """) T_max, _ = calc_Tmovement_for_S1(S1_max) if T_max < Tfull: S1 = S1_max else: maxiter = 20 cur_iter = 0 while abs(T - Tfull) > time_eps and S1_max > S1_min and cur_iter < maxiter: S1_cur = (S1_min + S1_max)/2 T, _ = calc_Tmovement_for_S1(S1_cur) if T > Tfull: S1_max = S1_cur else: S1_min = S1_cur cur_iter += 1 S1 = S1_min T, tarray = calc_Tmovement_for_S1(S1) tstay = max(0, Tfull - T) t1, t2, t31, t32, t4, t5 = tarray for j, t in enumerate(tarray): if t < 0: raise Exception(f"""Ошибка - время перехода во время фазы {j + 1} {i}-го электрода отрицательно - переход невозможен с такими параметрами, проверьте скорость, ускорение, смещение """) 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): v0q = min(sqrt(2 * self.a_max_1 * s), self.v_max_1) v0 = min(v0q, sqrt(1 / (self.k_hardness_1 * self.mass_1)) * self.Ftogrow) t2 = T - sqrt(max(0, T ** 2 - 2 * s / self.a_max_1)) if t2 * self.a_max_1 < v0: #we should wait to end with max speed but dont do it t2 = v0 / self.a_max_1 t3 = max(0, (s - self.a_max_1 * t2 ** 2 / 2) / (self.a_max_1 * t2)) t1 = T - t2 - t3 t4 = 0 else: t1 = 0 t2 = min(v0q / self.a_max_1, (T + v0/self.a_max_1)/2 - sqrt(max(0, (T + v0/self.a_max_1)**2 - 4 * (v0**2 / (2 * self.a_max_1**2) + s / self.a_max_1))) / 2) v1 = t2 * self.a_max_1 t4 = max(0, v1-v0) / self.a_max_1 t3 = max(0, T - t2 - t4) return t1, t2, t3, t4 def calcFirstOpen(self, T: float, s: float): t1 = T / 2 - sqrt(max(0, T ** 2 - 4 * s / self.a_max_1)) / 2 if t1 > self.v_max_1 / self.a_max_1 + self.check_eps: raise Exception("""Мы вышли за границы разгона - раскрытие FE, вообще не знаю как так получилось""") t2 = max(0, (s - self.a_max_1 * t1 ** 2 / 2) / (self.a_max_1 * t1)) return t1, t2 def calcSecondOpen(self, T: float, s: float): t1 = T / 2 - sqrt(max(0, T ** 2 - 4 * s / self.a_max_2)) / 2 if t1 > self.v_max_2 / self.a_max_2 + self.check_eps: raise Exception("""Мы вышли за границы разгона - раскрытие ME, вообще не знаю как так получилось""") t2 = max(0, (s - self.a_max_2 * t1 ** 2) / (self.a_max_2 * t1)) return t1, t2 def calcSecondClose(self, T: float, s: float): t1 = T / 2 - sqrt(max(0, T ** 2 - 4 * s / self.a_max_2)) / 2 if t1 > self.v_max_2 / self.a_max_2 + self.check_eps: raise Exception("""Мы вышли за границы разгона - смыкание ME, вообще не знаю как так получилось""") t2 = max(0, (s - self.a_max_2 * t1 ** 2) / (self.a_max_2 * t1)) 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