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A time-inconsistent optimal control problem is formulated and studied for a controlled linear ordinary differential equation with quadratic cost functional. A notion of equilibrium control is introduced, which can be regarded as a…

Optimization and Control · Mathematics 2012-04-10 Jiongmin Yong

We consider the problem of discounted optimal state-feedback regulation for general unknown deterministic discrete-time systems. It is well known that open-loop instability of systems, non-quadratic cost functions and complex nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Alexandros Tanzanakis , John Lygeros

Inverse reinforcement learning (IRL) aims to learn a reward function and a corresponding policy that best fit the demonstrated trajectories of an expert. However, current IRL works cannot learn incrementally from an ongoing trajectory…

Machine Learning · Computer Science 2025-07-24 Shicheng Liu , Minghui Zhu

This paper presents a method for learning logical task specifications and cost functions from demonstrations. Constructing specifications by hand is challenging for complex objectives and constraints in autonomous systems. Instead, we…

Machine Learning · Computer Science 2022-09-21 Tianyu Wang , Nikolay Atanasov

The induction motor controlled by Indirect Field Oriented Control (IFOC) is known to have high performance and better stability. This paper reports the dynamical behavior of an indirect field oriented control (IFOC) induction motor drive in…

Chaotic Dynamics · Physics 2014-10-27 Krishnendu Chakrabarty , Urmila Kar

In many applications of optimal control, the stage cost is not fixed, but rather a design choice with considerable impact on the control performance. In infinite horizon optimal control, the choice of stage cost is often restricted by the…

Optimization and Control · Mathematics 2022-07-13 Christian Fiedler , Sebastian Trimpe

We consider the problem of stochastic optimal control, where the state-feedback control policies take the form of a probability distribution and where a penalty on the entropy is added. By viewing the cost function as a Kullback- Leibler…

Optimization and Control · Mathematics 2024-12-12 Marc Lambert , Francis Bach , Silvère Bonnabel

This paper studies maximisation of an average-cost-per-unit-time ergodic functional over impulse strategies controlling a Feller-Markov process. The uncontrolled process is assumed to be ergodic but, unlike the extant literature, the…

Optimization and Control · Mathematics 2024-02-06 Jan Palczewski , Lukasz Stettner

Adaptive optimal control using value iteration initiated from a stabilizing control policy is theoretically analyzed in terms of stability of the system during the learning stage without ignoring the effects of approximation errors. This…

Optimization and Control · Mathematics 2017-10-25 Ali Heydari

For large uncertain systems, solving model predictive control problems online can be computationally taxing. Using a shorter prediction horizon can help, but may lead to poor performance and instability without appropriate modifications.…

Systems and Control · Electrical Eng. & Systems 2025-03-05 E. M. Turan , Z. Mdoe , J. Jäschke

This paper addresses the problem of computing optimal impedance schedules for legged locomotion tasks involving complex contact interactions. We formulate the problem of impedance regulation as a trade-off between disturbance rejection and…

Robotics · Computer Science 2021-01-26 Bilal Hammoud , Majid Khadiv , Ludovic Righetti

Iterative Learning Control (ILC) schemes can guarantee properties such as asymptotic stability and monotonic error convergence, but do not, in general, ensure adherence to output constraints. The topic of this paper is the design of a…

Systems and Control · Electrical Eng. & Systems 2021-08-12 Michael Meindl , Fabio Molinari , Jörg Raisch , Thomas Seel

Stochastic Nonlinear Optimal Control (SNOC) seeks to minimize a cost function that accounts for random disturbances acting on a nonlinear dynamical system. Since the expectation over all disturbances is generally intractable, a common…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Mahrokh Ghoddousi Boroujeni , Clara Lucía Galimberti , Andreas Krause , Giancarlo Ferrari-Trecate

This work presents a suboptimality study of a particular model predictive control with a stage cost shaping based on the ideas of reinforcement learning. The focus of the suboptimality study is to derive quantities relating the…

Optimization and Control · Mathematics 2020-04-28 Lukas Beckenbach , Pavel Osinenko , Stefan Streif

This paper studies the online optimal control problem with time-varying convex stage costs for a time-invariant linear dynamical system, where a finite lookahead window of accurate predictions of the stage costs are available at each time.…

Optimization and Control · Mathematics 2019-10-23 Yingying Li , Xin Chen , Na Li

Performance of adaptive control policies is assessed through the regret with respect to the optimal regulator, which reflects the increase in the operating cost due to uncertainty about the dynamics parameters. However, available results in…

Systems and Control · Computer Science 2020-03-24 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

In aims to uncover insights into medical decision-making embedded within observational data from clinical settings, we present a novel application of Inverse Reinforcement Learning (IRL) that identifies suboptimal clinician actions based on…

The linear quadratic regulator is the fundamental problem of optimal control. Its state feedback version was set and solved in the early 1960s. However the static output feedback problem has no explicit-form solution. It is suggested to…

Optimization and Control · Mathematics 2020-11-03 Ilyas Fatkhullin , Boris Polyak

In many applied optimization settings, parameters that define the constraints may not guarantee the best possible solution, and superior solutions might exist that are infeasible for the given parameter values. Removing such constraints,…

Optimization and Control · Mathematics 2024-07-22 Farzin Ahmadi , Todd R. McNutt , Kimia Ghobadi

Optimism in the face of uncertainty is a popular approach to balance exploration and exploitation in reinforcement learning. Here, we consider the online linear quadratic regulator (LQR) problem, i.e., to learn the LQR corresponding to an…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Marcell Bartos , Bruce D. Lee , Lenart Treven , Andreas Krause , Florian Dörfler , Melanie N. Zeilinger
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