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This paper discusses the boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a…

Optimization and Control · Mathematics 2020-03-17 Hugo Lhachemi , Robert Shorten

We study the problem of optimal state-feedback tracking control for unknown discrete-time deterministic systems with input constraints. To handle input constraints, state-of-art methods utilize a certain nonquadratic stage cost function,…

Systems and Control · Electrical Eng. & Systems 2020-12-09 Alexandros Tanzanakis , John Lygeros

We develop a non-collocated, observer-based output-feedback law for a class of continua of linear hyperbolic PDE systems, which are viewed as the continuum version of $n+m$, general heterodirectional hyperbolic systems as $n\to\infty$. The…

Optimization and Control · Mathematics 2025-03-12 Jukka-Pekka Humaloja , Nikolaos Bekiaris-Liberis

This paper presents a new observer design approach for linear time invariant multivariable systems subject to unknown inputs. The design is based on a transformation to the so-called special coordinate basis. This form reveals important…

Systems and Control · Electrical Eng. & Systems 2021-11-30 Markus Tranninger , Helmut Niederwieser , Richard Seeber , Martin Horn

The output regulation problem for unknown linear systems has been studied using state-based and output-based internal model approaches in the special case with no disturbances. This paper further investigates the output regulation problem…

Optimization and Control · Mathematics 2026-01-07 Haoyan Lin , Jie Huang

Designing Luenberger observers for nonlinear systems involves the challenging task of transforming the state to an alternate coordinate system, possibly of higher dimensions, where the system is asymptotically stable and linear up to output…

Optimization and Control · Mathematics 2023-04-06 Muhammad Umar B. Niazi , John Cao , Xudong Sun , Amritam Das , Karl Henrik Johansson

We address the output regulation problem of linear systems with non-smooth and non-periodic exogenous signals. Specifically, we first formulate and solve the full-information problem by designing a state-feedback controller. We study the…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Zirui Niu , Daniele Astolfi , Giordano Scarciotti

The topological obstructions on the attitude space of a rigid body make global asymptotic stabilization impossible using continuous state-feedback. This paper presents novel algorithms to overcome such topological limitations and achieve…

Systems and Control · Computer Science 2018-11-06 Mahathi Bhargavapuri , Soumya Ranjan Sahoo , Mangal Kothari

This note addresses the output synchronization problem of incrementally output-feedback passive nonlinear systems in the presence of exogenous disturbances. Two kinds of distributed controllers are proposed; one placed at the nodes and the…

Systems and Control · Computer Science 2015-09-15 Hongkeun Kim , Claudio De Persis

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

A new formulation of Stochastic Model Predictive Output Feedback Control is presented and analyzed as a translation of Stochastic Optimal Output Feedback Control into a receding horizon setting. This requires lifting the design into a…

Optimization and Control · Mathematics 2020-05-01 Martin A Sehr , Robert R Bitmead

This paper deals with the backstepping design of observer-based compensators for parabolic ODE-PDE-ODE systems. The latter consist of n coupled parabolic PDEs with distinct diffusion coefficients and spatially-varying coefficients, that are…

Systems and Control · Electrical Eng. & Systems 2020-08-28 Joachim Deutscher , Nicole Gehring

This paper investigates the cooperative control of multiple unmanned and manned vehicles via an output containment control approach for heterogeneous discrete-time multiagent systems. The unmanned vehicles act as leading vehicles to guide…

Systems and Control · Electrical Eng. & Systems 2021-02-17 Wang Shimin , Jiang Simin , Zhan Zhi , Wu Yuanqing , William H. K. Lam , Zhong Renxin

A symmetry-preserving, reduced-order state observer is presented for the unmeasured part of a system's state, where the nonlinear system dynamics exhibit symmetry under the action of a Lie group. Leveraging this symmetry with a moving…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

In this paper, we propose a deep unfolding-based framework for the output feedback control of systems with input saturation. Although saturation commonly arises in several practical control systems, there is still a scarce of effective…

Systems and Control · Electrical Eng. & Systems 2021-01-28 Koki Kobayashi , Masaki Ogura , Taisuke Kobayashi , Kenji Sugimoto

The problem of state-feedback stabilizability of discrete-time nonlinear systems has been considered in this note. Two assertions have been proved. First, if the system is $N$-step controllable to the origin, then there is a state feedback…

Optimization and Control · Mathematics 2018-04-19 Shigeru Hanba

We consider output tracking and disturbance rejection for abstract infinite-dimensional systems with input saturation. We solve the control problem using a control law which consists of a stabilising error feedback term and a feedforward…

Optimization and Control · Mathematics 2025-06-23 Thavamani Govindaraj , Lassi Paunonen

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

The internal state of a dynamical system, a set of variables that defines its evolving configuration, is often hidden and cannot be fully measured, posing a central challenge for real-time monitoring and control. While observers are…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Yuan Zhang , Ziyuan Luo , Wenxuan Xu , Jiayu Wu , Wenqi Cao , Ranbo Cheng , Tingting Qin , Yuanqing Xia , Mohamed Darouach , Aming Li , Tyrone Fernando

This paper is devoted to the development of adaptive control schemes for uncertain discrete-time systems, which guarantee robust, global, exponential convergence to the desired equilibrium point of the system. The proposed control scheme…

Optimization and Control · Mathematics 2015-09-02 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou