手法を比較

	ツィーグラー・ニコルズ法	線形二次制御器
分野	制御理論	制御理論
系統	Machine learning	Machine learning
提唱年	1942	1960
提唱者	John G. Ziegler	Rudolf Kalman
種類	algorithm	algorithm
原典	Ziegler, J. G., & Nichols, N. B. (1942). Optimum settings for automatic controllers. Transactions of the American Society of Mechanical Engineers, 64(8), 759-768.	Kalman, R. E. (1960). Contributions to the theory of optimal control. Boletin de la Sociedad Matematica Mexicana, 5(2), 102-119.
別名	PID Tuning, Empirical Tuning Method	LQR, Linear Quadratic Optimal Control
関連	2	4
概要	Ziegler-Nichols Tuning is a practical, model-free method for tuning PID controller gains empirically. Published in 1942, this pioneering method requires only measurement of the system's step response (or closed-loop oscillations), making it applicable to any system without prior identification. Ziegler-Nichols remains widely used in industry because it is simple, fast, and often produces reasonable initial tunings.	The Linear Quadratic Regulator (LQR) is a classical optimal control algorithm that computes a linear feedback law to minimize a quadratic cost function for a linear dynamical system. Introduced by Kalman in 1960, LQR provides a provably optimal, closed-form solution for linear systems and remains fundamental in control theory, robotics, and aerospace applications because of its theoretical elegance and computational efficiency.