use serde::{Serialize, Deserialize}; #[derive(Clone, Debug, PartialEq, Serialize, Deserialize)] pub struct Parameters { /// Gain coefficient for proportional term pub kp: f32, /// Gain coefficient for integral term pub ki: f32, /// Gain coefficient for derivative term pub kd: f32, /// Output limit minimum pub output_min: f32, /// Output limit maximum pub output_max: f32, } impl Default for Parameters { fn default() -> Self { Parameters { kp: 0.0, ki: 0.0, kd: 0.0, output_min: -2.0, output_max: 2.0, } } } #[derive(Clone)] pub struct Controller { pub parameters: Parameters, pub target : f64, u1 : f64, x1 : f64, x2 : f64, pub y1 : f64, } impl Controller { pub const fn new(parameters: Parameters) -> Controller { Controller { parameters: parameters, target : 0.0, u1 : 0.0, x1 : 0.0, x2 : 0.0, y1 : 0.0, } } // Based on https://hackmd.io/IACbwcOTSt6Adj3_F9bKuw PID implementation // Input x(t), target u(t), output y(t) // y0' = y1 - ki * u0 // + x0 * (kp + ki + kd) // - x1 * (kp + 2kd) // + x2 * kd // + kp * (u0 - u1) // y0 = clip(y0', ymin, ymax) pub fn update(&mut self, input: f64) -> f64 { let mut output: f64 = self.y1 - self.target * f64::from(self.parameters.ki) + input * f64::from(self.parameters.kp + self.parameters.ki + self.parameters.kd) - self.x1 * f64::from(self.parameters.kp + 2.0 * self.parameters.kd) + self.x2 * f64::from(self.parameters.kd) + f64::from(self.parameters.kp) * (self.target - self.u1); if output < self.parameters.output_min.into() { output = self.parameters.output_min.into(); } if output > self.parameters.output_max.into() { output = self.parameters.output_max.into(); } self.x2 = self.x1; self.x1 = input; self.u1 = self.target; self.y1 = output; output } pub fn summary(&self, channel: usize) -> Summary { Summary { channel, parameters: self.parameters.clone(), target: self.target, } } pub fn update_ki(&mut self, new_ki: f32) { self.parameters.ki = new_ki; } } #[derive(Clone, Serialize, Deserialize)] pub struct Summary { channel: usize, parameters: Parameters, target: f64, } #[cfg(test)] mod test { use super::*; const PARAMETERS: Parameters = Parameters { kp: 0.03, ki: 0.002, kd: 0.15, output_min: -10.0, output_max: 10.0, }; #[test] fn test_controller() { // Initial and ambient temperature const DEFAULT: f64 = 20.0; // Target temperature const TARGET: f64 = 40.0; // Control tolerance const ERROR: f64 = 0.01; // System response delay const DELAY: usize = 10; // Heat lost const LOSS: f64 = 0.05; // Limit simulation cycle, reaching this limit before settling fails test const CYCLE_LIMIT: u32 = 1000; let mut pid = Controller::new(PARAMETERS.clone()); pid.target = TARGET; let mut values = [DEFAULT; DELAY]; let mut t = 0; let mut total_t = 0; let mut output: f64 = 0.0; let target = (TARGET - ERROR)..=(TARGET + ERROR); while !values.iter().all(|value| target.contains(value)) && total_t < CYCLE_LIMIT { let next_t = (t + 1) % DELAY; // Feed the oldest temperature output = pid.update(values[next_t]); // Overwrite oldest with previous temperature - output values[next_t] = values[t] - output - (values[t] - DEFAULT) * LOSS; t = next_t; total_t += 1; println!("{}", values[t].to_string()); } assert_ne!(CYCLE_LIMIT, total_t); } }