Nicolás Espitia
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View article: Homogeneous boundary control design for a 1D viscous Burgers equation : modal decomposition approach
Homogeneous boundary control design for a 1D viscous Burgers equation : modal decomposition approach Open
In this paper, we address the problem of nonlinear boundary control design for the 1D viscous Burgers equation. Using the modal decomposition approach, we design a finite-dimensional homogeneous controller for the controlled subsystem cont…
View article: Prescribed-Time Newton Extremum Seeking using Delays and Time-Periodic Gains
Prescribed-Time Newton Extremum Seeking using Delays and Time-Periodic Gains Open
We study prescribed-time extremum seeking (PT-ES) for scalar maps in the presence of time delays. The PT-ES problem has been studied by Yilmaz and Krstic in 2023 using chirpy probing and time-varying gains that grow unbounded. To alleviate…
View article: Output-Feedback Stabilization in Prescribed-Time of a Class of Reaction-Diffusion PDEs With Boundary Input Delay
Output-Feedback Stabilization in Prescribed-Time of a Class of Reaction-Diffusion PDEs With Boundary Input Delay Open
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View article: Event-triggered gain scheduling of × hyperbolic PDEs with time and space varying coupling coefficients
Event-triggered gain scheduling of × hyperbolic PDEs with time and space varying coupling coefficients Open
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View article: Prescribed-time stability in switching systems with resets: A hybrid dynamical systems approach
Prescribed-time stability in switching systems with resets: A hybrid dynamical systems approach Open
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View article: Predictor-Based Prescribed-Time Output Feedback for a Parabolic PDE
Predictor-Based Prescribed-Time Output Feedback for a Parabolic PDE Open
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View article: Prescribed-Time Control in Switching Systems with Resets: A Hybrid Dynamical Systems Approach
Prescribed-Time Control in Switching Systems with Resets: A Hybrid Dynamical Systems Approach Open
We consider the problem of achieving prescribed-time stability (PT-S) in a class of hybrid dynamical systems that incorporate switching nonlinear dynamics, exogenous inputs, and resets. By "prescribed-time stability", we refer to the prope…
View article: Finite‐time estimation of second‐order linear time‐invariant systems in the presence of delayed measurement
Finite‐time estimation of second‐order linear time‐invariant systems in the presence of delayed measurement Open
In this article, we design a nonlinear observer for second‐order linear time‐invariant (LTI) systems in the observable form with measurement delay. The design guarantees the convergence of the error state to the origin within a finite‐time…
View article: Traffic flow control on cascaded roads by event‐triggered output feedback
Traffic flow control on cascaded roads by event‐triggered output feedback Open
In this article, we propose an event‐triggered output‐feedback controller that guarantees the simultaneous stabilization of traffic flow on two connected roads. The density and velocity traffic dynamics are described with the linearized Aw…
View article: Prescribed-time predictor control of LTI systems with distributed input delay
Prescribed-time predictor control of LTI systems with distributed input delay Open
This paper deals with prescribed-time stabilization of controllable linear systems with distributed input delay. We model the input delay as a transport PDE and reformulate the original problem as a cascade PDE-ODE system while accounting …
View article: Observer-Based Event-Triggered Boundary Control of a Class of Reaction–Diffusion PDEs
Observer-Based Event-Triggered Boundary Control of a Class of Reaction–Diffusion PDEs Open
This paper presents an observer-based event-triggered boundary control strategy for a class of reaction-diffusion PDEs with Robin actuation. The observer only requires boundary measurements. The control approach consists of a backstepping …
View article: Predictor-Feedback Prescribed-Time Stabilization of LTI Systems With Input Delay
Predictor-Feedback Prescribed-Time Stabilization of LTI Systems With Input Delay Open
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View article: Event-triggered output feedback control of traffic flow on cascaded roads
Event-triggered output feedback control of traffic flow on cascaded roads Open
In this chapter, we develop an event-triggered boundary output feedback controller that guarantees the simultaneous stabilization of traffic flow on connected roads. The density and velocity traffic dynamics are described with the lineariz…
View article: Event-Triggered Gain Scheduling of Reaction-Diffusion PDEs
Event-Triggered Gain Scheduling of Reaction-Diffusion PDEs Open
This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space- varying reaction coefficient. The boundary control design relies on the backstepping approach. The gains of the boundary cont…
View article: Sensor Delay-Compensated prescribed-Time Observer for LTI Systems
Sensor Delay-Compensated prescribed-Time Observer for LTI Systems Open
We present an observer for linear time-invariant (LTI) systems with measurement delay. Our design ensures that the observer error converges to zero within a prescribed terminal time. To achieve this, we employ time-varying output gains tha…
View article: Prescribed-time predictor control of LTI systems with input delay
Prescribed-time predictor control of LTI systems with input delay Open
This paper deals with the problem of prescribedtime stabilization of controllable linear systems with input delay. The problem is reformulated under a cascade PDE-ODE setting from which a prescribed-time predictor feedback is designed base…
View article: A note on non asymptotic stabilization of linear time delay systems
A note on non asymptotic stabilization of linear time delay systems Open
This paper deals with fixed-time and prescribedtime stabilization of controllable linear-time delay systems using Artstein's transformation [1]. First, a delayed chain of integrators is stabilized in fixed-time using the desingularization …
View article: Observer-based Event-triggered Boundary Control of a Class of\n Reaction-Diffusion PDEs
Observer-based Event-triggered Boundary Control of a Class of\n Reaction-Diffusion PDEs Open
This paper presents an observer-based event-triggered boundary control\nstrategy for a class of reaction-diffusion PDEs with Robin actuation. The\nobserver only requires boundary measurements. The control approach consists of\na backsteppi…
View article: Event-triggered Varying Speed Limit Control of Stop-and-go Traffic
Event-triggered Varying Speed Limit Control of Stop-and-go Traffic Open
This paper develops event-triggered boundary control strategies for varying speed limit (VSL) located at a freeway segment. The stop-and-go traffic oscillations are suppressed by regulating the velocity of vehicles that leave the segment. …
View article: Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach
Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach Open
This paper deals with an event-triggered boundary control of constant-parameters reaction-diffusion PDE systems. The approach relies on the emulation of backstepping control along with a suitable triggering condition which establishes the …
View article: Event-triggered Varying Speed Limit Control of Stop-and-go Traffic
Event-triggered Varying Speed Limit Control of Stop-and-go Traffic Open
This paper develops event-triggered boundary control strategies for varying speed limit (VSL) located at a freeway segment. The stop-and-go traffic oscillations are suppressed by regulating the velocity of vehicles that leave the segment. …
View article: On local finite-time stabilization of the Viscous Burgers equation via boundary switched linear feedback
On local finite-time stabilization of the Viscous Burgers equation via boundary switched linear feedback Open
This paper considers the problem of local finite-time stabilization of the viscous Burgers equation. A boundary switched linear control with state dependent switching law is designed based on the Backstepping approach. The strategy builds …