Robustness to diffusion of prediction-based control for convection processes

Bresch‐Pietri, Delphine; Krstić, Miroslav

doi:10.1109/cdc.2016.7799134

Cited by 3 publications

(1 citation statement)

References 22 publications

(24 reference statements)

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“…Large delays often lead to closed-loop instability if they are not taken into account, and limit the achievable performance of conventional controllers [2]. More recently, the ability to manipulate flow properties has also become a question of major technological importance, in which convection (hyperbolic PDE dynamics) and/or diffusion (parabolic PDE dynamics) occur [3]. Topics on compensating infinite-dimensional actuator dynamics are introduced in [4].…”

Section: Introductionmentioning

confidence: 99%

Robust Compensation of Delay and Diffusive Actuator Dynamics Without Distributed Feedback

Sanz

Garcia

Krstić

2019

IEEE Trans. Automat. Contr.

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This paper deals with robust observer-based outputfeedback stabilization of systems whose actuator dynamics can be described in terms of partial differential equations (PDEs). More specifically, delay dynamics (first-order hyperbolic PDE) and diffusive dynamics (parabolic PDE) are considered. The proposed controllers have a PDE observer-based structure. The main novelty is that stabilization for an arbitrarily large delay or diffusion domain length is achieved, while distributed integral terms in the control law are avoided. The exponential stability of the closed-loop in both cases is proved using Lyapunov functionals, even in the presence of small uncertainties in the time delay or the diffusion coefficient. The feasibility of this approach is illustrated in simulations using a second-order plant with an exponentially unstable mode.

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Section: Introductionmentioning

confidence: 99%