no code implementations • 26 Mar 2024 • Steven Patrick, Efstathios Bakolas
Model Predictive Path Integral (MPPI) control has proven to be a powerful tool for the control of uncertain systems (such as systems subject to disturbances and systems with unmodeled dynamics).
no code implementations • 12 Dec 2023 • Vrushabh Zinage, Rohan Chandra, Efstathios Bakolas
In this paper, we propose a deep learning based control synthesis framework for fast and online computation of controllers that guarantees the safety of general nonlinear control systems with unknown dynamics in the presence of input constraints.
no code implementations • 14 Nov 2023 • Isin M. Balci, Efstathios Bakolas
Subsequently, we propose a randomized policy to enhance the numerical tractability of the problem and demonstrate that under this policy the state distribution remains a Gaussian mixture.
1 code implementation • 29 Sep 2023 • Vrushabh Zinage, Rohan Chandra, Efstathios Bakolas
Towards this aim, we first construct a governing augmented state space model consisting of the equations of motion of the original system, the integral control law and the nonlinear disturbance observer.
no code implementations • 24 May 2023 • Vrushabh Zinage, S P Arjun Ram, Maruthi R. Akella, Efstathios Bakolas
Semi-Global Exponential Stability (SGES) is proved for the combined attitude and position rigid body motion tracking problem, which was previously only known to be asymptotically stable.
no code implementations • 4 Oct 2022 • Yoonjae Lee, Efstathios Bakolas
This paper is concerned with the reconnaissance game that involves two mobile agents: the Intruder and the Defender.
no code implementations • 16 Sep 2022 • Vrushabh Zinage, Efstathios Bakolas
We prove that the learned CBF for the latter bilinear system is also a valid CBF for the unknown nonlinear system by characterizing the $\ell^2$-norm error bound between these two systems.
1 code implementation • 4 Jul 2022 • Martin Braquet, Efstathios Bakolas
This paper presents an algorithm for local motion planning in environments populated by moving elliptical obstacles whose velocity, shape and size are fully known but may change with time.
1 code implementation • 13 Jan 2022 • Vrushabh Zinage, Efstathios Bakolas
In this paper, we propose a framework to construct these stabilizable bilinear models and identify its associated observables from data by simultaneously learning a bilinear Koopman embedding for the underlying unknown control affine nonlinear system as well as a Control Lyapunov Function (CLF) for the Koopman based bilinear model using a learner and falsifier.
no code implementations • 18 Nov 2021 • Yoonjae Lee, Efstathios Bakolas, Maruthi R. Akella
Subsequently, using this linearized system model, we formulate an auxiliary two-player zero-sum LQDG which is effective in the neighborhood of the given reference trajectory and derive its feedback saddle point strategy that allows the hypersonic vehicle to modify its trajectory online in response to the target's evasive maneuvers.
no code implementations • 11 Oct 2021 • Vrushabh Zinage, Efstathios Bakolas
In this paper, we systematically derive a finite set of Koopman based observables to construct a lifted linear state space model that describes the rigid body dynamics based on the dual quaternion representation.
no code implementations • 17 Sep 2021 • Vrushabh Zinage, Efstathios Bakolas
In this paper, we consider the classical spacecraft rendezvous problem in which the so-called active spacecraft has to approach the target spacecraft which is moving in an elliptical orbit around a planet by using the minimum possible amount of fuel.
no code implementations • 8 Jul 2021 • Alaa Z. Abdulghafoor, Efstathios Bakolas
The first level treats the multi-agent network as a whole based on the distribution of the locations of its agents over the spatial domain.
1 code implementation • 30 Jun 2021 • Martin Braquet, Efstathios Bakolas
In our approach, each member of the multi-agent team is assigned to at most one task from a set of spatially distributed tasks, while several agents can be allocated to the same task.
no code implementations • 1 Apr 2021 • Yoonjae Lee, Efstathios Bakolas
We revisit the two-player planar target-defense game initially posed by Isaacs where a pursuer (or defender) attempts to guard a target set from an attack by an evader (or attacker).
no code implementations • 25 Mar 2021 • Isin M. Balci, Abhishek Halder, Efstathios Bakolas
In particular, we show that when the terminal state covariance is upper bounded, with respect to the L\"{o}wner partial order, by the covariance matrix of the desired terminal normal distribution, then our problem admits a unique global minimizing state feedback gain.
no code implementations • 4 Mar 2021 • Vrushabh Zinage, Efstathios Bakolas
In this paper, we propose a Koopman operator based approach to describe the nonlinear dynamics of a quadrotor on SE(3) in terms of an infinite-dimensional linear system which evolves in the space of observable functions (lifted space) and which is more appropriate for control design purposes.