Nonlinear control theory is the area of control theory which deals with systems that are nonlinear, time-variant, or both. Control theory is an interdisciplinary...
12 KB (1,328 words) - 20:01, 14 January 2024
the nonlinearity. The process can be controlled with nonlinear MPC that uses a nonlinear model directly in the control application. The nonlinear model...
29 KB (3,642 words) - 11:53, 6 June 2025
permitting control of nonlinear systems. These, e.g., feedback linearization, backstepping, sliding mode control, trajectory linearization control normally...
45 KB (6,747 words) - 10:54, 25 July 2025
complex nonlinear systems for which linear control theory methods are not applicable. Four types of problems are commonly encountered: Control parameter...
8 KB (995 words) - 01:19, 17 April 2025
t_{f}^{*}]} to the optimal control problem is locally minimizing. A special case of the general nonlinear optimal control problem given in the previous...
32 KB (4,734 words) - 01:09, 20 June 2025
developments in optimal control in the 1950s and 1960s followed by progress in stochastic, robust, adaptive, nonlinear control methods in the 1970s and...
22 KB (3,043 words) - 13:10, 23 March 2025
a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems...
21 KB (2,645 words) - 12:32, 25 June 2025
Gain scheduling (category Nonlinear control)
In control theory, gain scheduling is an approach to control of nonlinear systems that uses a family of linear controllers, each of which provides satisfactory...
3 KB (339 words) - 19:04, 27 May 2025
In control systems, sliding mode control (SMC) is a nonlinear control method that alters the dynamics of a nonlinear system by applying a discontinuous...
52 KB (8,258 words) - 21:43, 16 June 2025
control of linear controllers for nonlinear or time-varying processes; Adaptive control or self-tuning control of nonlinear controllers for nonlinear...
11 KB (1,352 words) - 23:33, 18 October 2024
engineers develop adaptive control systems that can modify their behavior in response to changing environments. Nonlinear control techniques are employed...
28 KB (2,898 words) - 10:27, 31 July 2025
Linear parameter-varying control (LPV control) deals with the control of linear parameter-varying systems, a class of nonlinear systems which can be modelled...
10 KB (1,364 words) - 06:33, 26 May 2025
Isidori, A. (1995). Nonlinear Control Systems. Springer. ISBN 978-3-540-19916-8. Freeman, Randy A.; Petar V. Kokotović (2008). "Robust Control Lyapunov Functions"...
9 KB (1,668 words) - 18:22, 30 May 2024
Variable structure control (VSC) is a form of discontinuous nonlinear control. The method alters the dynamics of a nonlinear system by application of...
5 KB (485 words) - 17:29, 20 March 2025
Norbert Wiener (category American control theorists)
in detail in Nonlinear Problems in Random Theory. Wiener applied Hermite-Laguerre expansion to nonlinear system identification and control. Specifically...
54 KB (6,091 words) - 09:54, 18 July 2025
Popov criterion (category Nonlinear control)
In nonlinear control and stability theory, the Popov criterion is a stability criterion discovered by Vasile M. Popov for the absolute stability of a...
2 KB (308 words) - 20:17, 11 April 2023
Learning in Control, Intelligent Control, Nonlinear Control Systems, Robot System Control, Robust and Adaptive Control, Aircraft Control systems, Discrete-Event...
14 KB (1,446 words) - 11:46, 27 September 2024
Wassim Michael Haddad (category Control theorists)
fields of nonlinear stability theory, nonlinear dynamical systems, and nonlinear control and an IEEE Fellow for contributions to robust, nonlinear, and hybrid...
39 KB (4,322 words) - 14:00, 1 June 2025
Miroslav Krstić (category American control theorists)
stabilization methods for nonlinear systems with unknown parameters and is the second highest-cited control monograph. (The top-cited control monograph is Boyd...
46 KB (4,346 words) - 12:47, 22 July 2025
In electronics, a relaxation oscillator is a nonlinear electronic oscillator circuit that produces a nonsinusoidal repetitive output signal, such as a...
26 KB (3,041 words) - 22:12, 6 March 2025
typically contain strong nonlinearities not treatable by other methods. A large number of publications appeared then and since in the control and systems literature...
24 KB (3,920 words) - 18:16, 21 July 2025
controllers constitute a class of continuous robust control algorithms developed for nonlinear, control‐affine systems subject to uncertainties and disturbances...
8 KB (868 words) - 11:41, 15 July 2025
Circle criterion (category Nonlinear control)
In nonlinear control and stability theory, the circle criterion is a stability criterion for nonlinear time-varying systems. It can be viewed as a generalization...
2 KB (413 words) - 22:44, 9 August 2024
Input-to-state stability (category Nonlinear control)
notion widely used to study stability of nonlinear control systems with external inputs. Roughly speaking, a control system is ISS if it is globally asymptotically...
22 KB (3,535 words) - 11:46, 23 May 2025
in nonlinear control theory, a non-linear system of the form x ˙ = f ( x , u ) {\displaystyle {\dot {x}}=f(x,u)} is said to satisfy the small control property...
817 bytes (120 words) - 22:22, 15 February 2022
Small-gain theorem (category Nonlinear control)
In nonlinear systems, the formalism of input-output stability is an important tool in studying the stability of interconnected systems since the gain...
3 KB (360 words) - 19:48, 22 June 2025
Vadim Utkin (category Control theorists)
Sliding Mode Control and Variable Structure Systems, which have become fundamental concepts in the field of nonlinear control (e.g. robust control). Utkin...
7 KB (470 words) - 07:27, 27 June 2025
Feedback linearization (category Nonlinear control)
strategy employed in nonlinear control to control nonlinear systems. Feedback linearization techniques may be applied to nonlinear control systems of the form...
13 KB (2,241 words) - 10:29, 19 December 2024
Kalman's conjecture (category Nonlinear control)
a disproved conjecture on absolute stability of nonlinear control system with one scalar nonlinearity, which belongs to the sector of linear stability...
7 KB (710 words) - 13:10, 31 July 2025
mathematics. Nonlinear control theory is the area of control theory which deals with systems that are nonlinear, time-variant, or both. Nonlinear dimensionality...
3 KB (503 words) - 05:53, 8 May 2024