Optimal control theory is a branch of control theory that deals with finding a control for a dynamical system over a period of time such that an objective...
32 KB (4,734 words) - 01:09, 20 June 2025
In optimal control theory, a control is a variable chosen by the controller or agent to manipulate state variables, similar to an actual control valve...
1 KB (172 words) - 00:57, 19 March 2023
for this reason MPC is also called receding horizon control. Although this approach is not optimal, in practice it has given very good results. Much academic...
29 KB (3,642 words) - 11:53, 6 June 2025
Bellman equation (redirect from Principle of optimality)
the optimal policy in the last time period is specified in advance as a function of the state variable's value at that time, and the resulting optimal value...
28 KB (4,010 words) - 16:35, 2 August 2025
In optimal control problems, it is sometimes the case that a control is restricted to be between a lower and an upper bound. If the optimal control switches...
7 KB (752 words) - 16:50, 13 November 2024
Mathematical optimization (redirect from Optimal)
a cost function where a minimum implies a set of possibly optimal parameters with an optimal (lowest) error. Typically, A is some subset of the Euclidean...
53 KB (6,165 words) - 15:32, 2 August 2025
unscented optimal control combines the notion of the unscented transform with deterministic optimal control to address a class of uncertain optimal control problems...
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problem – to movement trajectories. Active inference is related to optimal control by replacing value or cost-to-go functions with prior beliefs about...
53 KB (6,375 words) - 09:10, 17 June 2025
Hamilton–Jacobi–Bellman equation (category Optimal control)
sufficient conditions for optimality of a control with respect to a loss function. Its solution is the value function of the optimal control problem which, once...
14 KB (2,050 words) - 11:37, 3 May 2025
Pseudospectral optimal control is a numerical technique for solving optimal control problems. These problems involve finding the best way to control a dynamic...
16 KB (1,657 words) - 11:35, 18 July 2025
and the control strategy chosen. List of the main control techniques Optimal control is a particular control technique in which the control signal optimizes...
45 KB (6,747 words) - 10:54, 25 July 2025
The Hamiltonian is a function used to solve a problem of optimal control for a dynamical system. It can be understood as an instantaneous increment of...
22 KB (3,975 words) - 08:46, 9 August 2024
Degrees of freedom problem (redirect from Degrees of Freedom Problem (Motor Control))
the natural outcome of an adaptive optimal control process. Optimal control is a way of understanding motor control and the motor equivalence problem,...
28 KB (3,545 words) - 04:24, 26 July 2025
Stochastic control or stochastic optimal control is a sub field of control theory that deals with the existence of uncertainty either in observations...
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same precision as an optimal design. In practical terms, optimal experiments can reduce the costs of experimentation. The optimality of a design depends...
44 KB (4,412 words) - 09:18, 20 July 2025
Pontryagin's maximum principle (category Optimal control)
Bellman's principle of optimality, a related approach to optimal control problems which states that the optimal trajectory remains optimal at intermediate points...
12 KB (1,645 words) - 17:18, 24 November 2023
Reinforcement learning (redirect from Algorithms for control learning)
learning (RL) is an interdisciplinary area of machine learning and optimal control concerned with how an intelligent agent should take actions in a dynamic...
69 KB (8,200 words) - 17:43, 6 August 2025
PROPT (category Optimal control)
The PROPT MATLAB Optimal Control Software is a new generation platform for solving applied optimal control (with ODE or DAE formulation) and parameters...
13 KB (1,743 words) - 07:51, 4 August 2024
included developments in optimal control in the 1950s and 1960s followed by progress in stochastic, robust, adaptive, nonlinear control methods in the 1970s...
22 KB (3,043 words) - 13:10, 23 March 2025
Proportional–integral–derivative controller (redirect from PID control)
the three control terms of proportional, integral and derivative influence on the controller output to apply accurate and optimal control. The block...
85 KB (12,068 words) - 12:34, 2 August 2025
object in question. The search for optimal values for object or system characteristics is carried out by means of optimal change to design, geometrical or...
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Spinach (software) (section Optimal control module)
engineering (GRAPE) algorithm for quantum optimal control. The documentation and the book describing the optimal control module of the package list the following...
12 KB (1,145 words) - 09:31, 10 January 2024
Linear–quadratic regulator (redirect from Linear-quadratic control)
The theory of optimal control is concerned with operating a dynamic system at minimum cost. The case where the system dynamics are described by a set...
15 KB (2,284 words) - 23:58, 16 June 2025
Lagrange multiplier (section Control theory)
the optimal profit to a player is calculated subject to a constrained space of actions, where a Lagrange multiplier is the change in the optimal value...
55 KB (8,403 words) - 16:05, 3 August 2025
optimization is a technique for computing an open-loop solution to an optimal control problem. It is often used for systems where computing the full closed-loop...
27 KB (3,522 words) - 14:24, 19 July 2025
backpropagation appeared in optimal control theory since 1950s. Yann LeCun et al credits 1950s work by Pontryagin and others in optimal control theory, especially...
55 KB (7,843 words) - 22:21, 22 July 2025
"Estimation and nonlinear optimal control: Particle resolution in filtering and estimation". Studies on: Filtering, optimal control, and maximum likelihood...
92 KB (10,691 words) - 07:32, 30 July 2025
Machine learning control (MLC) is a subfield of machine learning, intelligent control, and control theory which aims to solve optimal control problems with...
8 KB (995 words) - 01:19, 17 April 2025
Gekko (optimization software) (section Optimal control)
optimization and optimal control problems. GEKKO is used for advanced control in the Temperature Control Lab (TCLab) for process control education at 20...
17 KB (1,988 words) - 17:08, 26 May 2025
In control theory, the linear–quadratic–Gaussian (LQG) control problem is one of the most fundamental optimal control problems, and it can also be operated...
16 KB (2,796 words) - 02:51, 10 June 2025