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We present a new walking controller based on 3LP, a 3D model of bipedal walking that is composed of three pendulums to simulate falling, swing and torso dynamics. Taking advantage of linear equations and closed-form solutions of 3LP, the…

Robotics · Computer Science 2018-01-09 Salman Faraji , Philippe Muellhaupt , Auke J. Ijspeert

We present a new walking foot-placement controller based on 3LP, a 3D model of bipedal walking that is composed of three pendulums to simulate falling, swing and torso dynamics. Taking advantage of linear equations and closed-form solutions…

Robotics · Computer Science 2018-11-12 Salman Faraji , Philippe Muellhaupt , Auke J. Ijspeert

In this paper, we present a simple control framework for on-line push recovery with dynamic stepping properties. Due to relatively heavy legs in our robot, we need to take swing dynamics into account and thus use a linear model called 3LP…

Robotics · Computer Science 2018-01-09 Salman Faraji , Hamed Razavi , Auke J. Ijspeert

We present a new framework to generate human-like lower-limb trajectories in periodic and non-periodic walking conditions. In our method, walking dynamics is encoded in 3LP, a linear simplified model composed of three pendulums to model…

Robotics · Computer Science 2018-03-28 Salman Faraji , Auke Jan Ijspeert

This paper presents a state and state-input constrained variant of the discrete-time iterative Linear Quadratic Regulator (iLQR) algorithm, with linear time-complexity in the number of time steps. The approach is based on a projection of…

Robotics · Computer Science 2018-05-25 Markus Giftthaler , Jonas Buchli

In this paper, we present a new model of biped locomotion which is composed of three linear pendulums (one per leg and one for the whole upper body) to describe stance, swing and torso dynamics. In addition to double support, this model has…

Robotics · Computer Science 2016-05-11 Salman Faraji , Auke J. Ijspeert

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

Optimization and Control · Mathematics 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

This paper presents a Discrete-Time Model Predictive Controller (MPC) for humanoid walking with online footstep adjustment. The proposed controller utilizes a hierarchical control approach. The high-level controller uses a low-dimensional…

Robotics · Computer Science 2024-10-21 Vishnu Joshi , Suraj Kumar , Nithin V , Shishir Kolathaya

We introduce a real-time, constrained, nonlinear Model Predictive Control for the motion planning of legged robots. The proposed approach uses a constrained optimal control algorithm known as SLQ. We improve the efficiency of this algorithm…

Robotics · Computer Science 2018-01-31 Farbod Farshidian , Edo Jelavić , Asutosh Satapathy , Markus Giftthaler , Jonas Buchli

In this paper, we propose a novel dynamic state-feedback controller for polytopic linear parameter-varying (LPV) systems with constant input matrix. The controller employs a projected gradient flow method to continuously improve its control…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Armin Gießler , Felix Strehle , Jochen Illerhaus , Sören Hohmann

We present a multi-query recovery policy for a hybrid system with goal limit cycle. The sample trajectories and the hybrid limit cycle of the dynamical system are stabilized using locally valid Time Varying LQR controller policies which…

Robotics · Computer Science 2017-11-15 Ramkumar Natarajan , Siddharthan Rajasekaran , Jonathan D. Taylor

In this paper a novel discrete-time realization of the super-twisting controller is proposed. The closed-loop system is proven to converge to an invariant set around the origin in finite time. Furthermore, the steady-state error is shown to…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Benedikt Andritsch , Lars Watermann , Stefan Koch , Markus Reichhartinger , Johann Reger , Martin Horn

This paper focuses on adaptive control of the discrete-time linear quadratic regulator (adaptive LQR). Recent literature has made significant contributions in proving non-asymptotic convergence rates, but existing approaches have a few…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Peter A. Fisher , Anuradha M. Annaswamy

This paper investigates the problem of regulating in real time a linear dynamical system to the solution trajectory of a time-varying constrained convex optimization problem. The proposed feedback controller is based on an adaptation of the…

Optimization and Control · Mathematics 2021-09-13 Gianluca Bianchin , Jorge Cortes , Jorge I. Poveda , Emiliano Dall'Anese

In order to perform highly dynamic and agile maneuvers, legged robots typically spend time in underactuated domains (e.g. with feet off the ground) where the system has limited command of its acceleration and a constrained amount of time…

Robotics · Computer Science 2024-03-06 James Zhu , J. Joe Payne , Aaron M. Johnson

In this paper we present a set of projection-based designs for constructing simplified linear quadratic regulator (LQR) controllers for large-scale network systems. When such systems have tens of thousands of states, the design of…

Systems and Control · Computer Science 2017-10-05 Nan Xue , Aranya Chakrabortty

In this letter, we propose a control scheme for rigid bodies designed to optimise transient behaviors. The search space for the optimal control input is parameterized to yield a passive, specifically lossless, nonlinear feedback controller.…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Riccardo Zanella , Federico Califano , Antonio Franchi , Stefano Stramigioli

We propose a novel feedback controller for a class of uncertain higher-order nonlinear systems, subject to delays in both state measurement and control input signals. Building on the prescribed performance control framework, a…

Optimization and Control · Mathematics 2025-09-11 Thomas Berger , Lampros N. Bikas , Jan Hachmeister , George A. Rovithakis

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

This paper proposes a novel multi-objective control framework for linear time-invariant systems in which performance and robustness can be achieved in a complementary way instead of a trade-off. In particular, a state-space solution is…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Jiapeng Xu , Xiang Chen , Ying Tan , Kemin Zhou
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