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Related papers: Control of bilinear systems using gain-scheduling:…

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In this work, a predictive control framework is presented for feedback stabilization of nonlinear systems. To achieve this, we integrate Koopman operator theory with Lyapunov-based model predictive control (LMPC). The main idea is to…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Abhinav Narasingam , Joseph Sang-Il Kwon

A novel adaptive control approach is proposed to solve the globally asymptotic state stabilization problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback…

Systems and Control · Computer Science 2016-09-29 Mingzhe Hou , Zongquan Deng , Guangren Duan

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

This paper formulates adaptive controller design as a minimax dual control problem. The objective is to design a controller that minimizes the worst-case performance over a set of uncertain systems. The uncertainty is described by a set of…

Optimization and Control · Mathematics 2024-09-09 Olle Kjellqvist , Anders Rantzer

We consider the problem of designing a controller for an unknown bilinear system using only noisy input-states data points generated by it. The controller should achieve regulation to a given state setpoint and provide a guaranteed basin of…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Andrea Bisoffi , Dominiek M. Steeman , Claudio De Persis

We introduce the concept of a control contraction metric, extending contraction analysis to constructive nonlinear control design. We derive sufficient conditions for exponential stabilizability of all trajectories of a nonlinear control…

Systems and Control · Computer Science 2017-02-09 Ian R. Manchester , Jean-Jacques E. Slotine

In this paper, we discuss the feedback stabilization of bilinear systems under weak observation properties. In this case, the uniform stability is not guaranteed. Thus we provide an explicit weak decay rate for all regular initial data.…

Optimization and Control · Mathematics 2019-07-01 Kaïs Ammari , Mohamed Ouzahra

We study state-feedback design for continuous-time LTI systems with a control input and an external input-output pair. Our objective is to determine feedback gains that render the closed-loop system (strictly) passive with respect to the…

Optimization and Control · Mathematics 2026-05-07 Armin Gießler , Pol Jané-Soneira , Sören Hohmann

This paper considers gain-scheduling of very strictly passive (VSP) subcontrollers using scheduling matrices. The use of scheduling matrices, over scalar scheduling signals, realizes greater design freedom, which in turn can improve…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Sepehr Moalemi , James Richard Forbes

Control-affine output systems generically present observability singularities, i.e. inputs that make the system unobservable. This proves to be a difficulty in the context of output feedback stabilization, where this issue is usually…

Optimization and Control · Mathematics 2021-01-18 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

This paper derives for non-linear, time-varying and feedback linearizable systems simple controller designs to achieve specified state-and timedependent complex convergence rates. This approach can be regarded as a general gain-scheduling…

Chaotic Dynamics · Physics 2010-04-20 Winfried Lohmiller , Jean-Jacques E. Slotine

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

Optimization and Control · Mathematics 2019-06-06 Elyar Zavary , Mahdi Sojoodi

In this paper a novel approach is presented for control design with guaranteed transient performance for multiple-input multiple-output discrete-time linear polytopic difference inclusions. We establish a theorem that gives necessary and…

Optimization and Control · Mathematics 2021-03-10 Willem Esterhuizen , Qing-Guo Wang

This paper is motivated by the problem of asymptotically stabilizing invariant sets in the state space of control systems by means of output feedback. The sets considered are smooth embedded in submanifolds and the class of system is…

Optimization and Control · Mathematics 2015-04-29 Christopher Nielsen

This paper introduces a continuous-time constrained nonlinear control scheme which implements a model predictive control strategy as a continuous-time dynamic system. The approach is based on the idea that the solution of the optimal…

Systems and Control · Computer Science 2017-09-20 Marco M. Nicotra , Dominic Liao-McPherson , Ilya V. Kolmanovsky

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

Optimization and Control · Mathematics 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya

We show that it is possible to construct closed quantum systems governed by a bilinear Hamiltonian depending on an arbitrary input signal. This is achieved by coupling the system to a quantum input field and performing a feedback of the…

Quantum Physics · Physics 2009-01-12 J. Gough

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

We design resilient sparse state-feedback controllers for a linear time-invariant (LTI) control system while attaining a pre-specified guarantee on ${\mathcal{H}}_\infty$ performance measure. We leverage a technique from non-fragile control…

Systems and Control · Computer Science 2019-09-30 MirSaleh Bahavarnia , Hossein K. Mousavi