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Asynchronous Boundary Stabilization of Stochastic Markov Jump Reaction-Diffusion systems

IEEE TRANSACTIONS ON systems MAN CYBERNETICS-systems 2022年第9期52卷 5668-5678页

作者： Han, Xin-Xin Wu, Kai-Ning Niu, Yugang Harbin Inst Technol Dept Math Weihai 264209 Peoples R China East China Univ Sci & Technol Key Lab Smart Mfg Energy Chem Proc Minist Educ Shanghai 200237 Peoples R China

Dissipativity-based asynchronous boundary stabilization problem is addressed for stochastic Markov jump reaction-diffusion systems (SMJRDSs). In practical engineering, nonsynchronous behavior between system modes and controller modes is inevitable, and the incomplete matrix information makes the problem analysis difficult, so this work considers the asynchronous stabilization. Different from the distributed control, we apply a simple boundary control strategy, which greatly reduces the cost of the control design. Note that three issues need to be addressed: 1) how to model the asynchronous behavior? 2) how to design the asynchronous boundary controller? and 3) how to process the incomplete matrix information? We deal with these problems one by one. Based on a general hidden Markov model (HMM), an asynchronous boundary feedback controller is considered. Via the Wirtinger-type inequality, Schur complement technique, and transition matrix properties, sufficient conditions ensuring exponentially mean square stability and strictly (W, P, R)-alpha dissipativity are established, which covers several special cases. Finally, a numerical example is presented to illustrate the proposed control strategies.

关键词： Markov processes Transmission line measurements Hidden Markov models Switches distributed parameter systems Aerospace electronics Symmetric matrices Asynchronous switching boundary control dissipativity exponential stability reaction-diffusion stochastic Markov jump systems (MJSs)

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Stabilizing Output-Feedback Control Law for Hyperbolic systems Using a Fredholm Transformation

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2022年第12期67卷 6651-6666页

作者： Redaud, Jeanne Auriol, Jean Niculescu, Silviu-Iulian Univ Paris Saclay CNRS Cent Supelec Lab Signaux & Syst F-91190 Gif Sur Yvette France Natl Inst Res Digital Sci & Technol INRIA F-91120 Palaiseau France

For most networked systems found in the literature, the actuated boundary is usually located at one end. In this article, we first consider the stabilization of a chain of two interconnected subsystems, actuated at the in-between boundary. Each subsystem corresponds to coupled hyperbolic partial differential equations. Such in-domain actuation leads to higher complexity, and represents a significant difference with existing results. Then, starting from a classical controllability condition, we design a state feedback control law for the considered class of systems. The proposed approach is based on the backstepping methodology. However, to deal with the complex structure of the system, we use Fredholm integral transforms instead of classical Volterra transforms. We prove the invertibility of such transforms using an original operator framework. The well posedness of the backstepping kernel equations defining the transformations is also shown with the same arguments. By using a similar procedure, we are then able to design a Luenberger-type observer. Finally, we use the state estimation in the stabilizing controller to obtain an output-feedback law. Some test cases complete the paper.

关键词： Backstepping methodology distributed parameter systems hyperbolic systems observer design underactuated networks

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Boundary Feedback Control of 2x2 Quasilinear Hyperbolic systems: Predictive Synthesis and Robustness Analysis

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2022年第3期67卷 1397-1413页

作者： Strecker, Timm Aamo, Ole Morten Cantoni, Michael Univ Melbourne Dept Elect & Elect Engn Melbourne Vic 3052 Australia Norwegian Univ Sci & Technol NTNU Dept Engn Cybernet N-7491 Trondheim Norway

We present a predictive feedback control method for a class of quasilinear hyperbolic systems with one boundary control input. Assuming exact model knowledge, convergence to the origin or tracking at the uncontrolled boundary is achieved in finite time. A robustness certificate is provided, showing that at least under more restrictive assumptions on the system coefficients, the control method has inherent robustness properties with respect to small errors in the model, measurements, and control input. Rigorous, although conservative conditions on the time derivative of the initial condition and on the design parameter controlling the convergence speed are given to ensure global existence of the solution for initial conditions with arbitrary infinity-norm.

关键词： Robustness Trajectory Mathematical model Feedback control Controllability Backstepping Uncertainty distributed parameter systems nonlinear systems robust stability

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Prediction-based stabilization of single-input nonlinear systems with unknown delay 22

Prediction-based stabilization of single-input nonlinear sys...

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22nd World Congress of the International Federation of Automatic Control (IFAC)

作者： Fang, Qin Zhang, Zhengqiang Qufu Normal Univ Sch Engn Rizhao 276826 Peoples R China

ISBN: (纸本)9781713872344

We introduce an inexact prediction-based controller for nonlinear systems with single-input unknown delay. The controller is established by an inexact predictor that compensates for the delay robustly, guaranteeing exponential stability for the closed-loop system. As a precondition, we are requested to select a suitable constant in a narrow enough range as the prediction horizon, which can offset the partial effect of the delay. In the end, a simulation example is presented to illustrate the validity of the theoretical results. Copyright (c) 2023 The Authors.

关键词： Delay systems distributed parameter systems nonlinear systems prediction-based controller

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Trajectory planning and control of convection reaction models with storage effects 22

Trajectory planning and control of convection reaction model...

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22nd World Congress of the International Federation of Automatic Control (IFAC)

作者： Wurm, Jens Woittennek, Frank UMIT TIROL Private Univ Hlth Sci & Hlth Technol Inst Automat & Control Engn Eduard Wallnofer Zentrum 1 Hall In Tirol Austria

ISBN: (纸本)9781713872344

distributed parameter systems consisting of several convection-reaction equations, which are distributed coupled with a reaction equation are considered. An alternative model description for this class of systems is obtained using the method of characteristics. The alternative description is constituted by a single partial differential equation of first order with respect to time. The proposed reformulation of the model allows for the efficient simulation of the system and for the straightforward calculation of inversion-based open-loop control laws. The stability of the original and the inverse models are discussed. The proposed method is illustrated by means of an example. Copyright (c) 2023 The Authors.

关键词： distributed parameter systems delay equation open-loop control hyperbolic system

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Early lumping observer design and sensor placement for transport-reaction systems

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JOURNAL OF PROCESS CONTROL 2022年 112卷 12-20页

作者： Tello, Ivan F. Y. Vande Wouwer, Alain Coutinho, Daniel Univ Mons Syst Estimat Control & Optimizat SECO Mons Belgium Univ Fed Santa Catarina Postgrad Program Engn Automat & Syst Florianopolis SC Brazil

This paper deals with the observer design problem for a class of one-dimensional multi-species transport-reaction systems satisfying sector bounded nonlinearities and considering measurements distributed over the spatial domain. A design method is proposed based on a reduced-order model and a Lyapunov function, which provides sufficient conditions in terms of standard linear matrix inequalities (LMIs) to ensure the exponential convergence of the estimation error with a prescribed decay rate. The observer performance is further improved through an offline optimal sensor placement algorithm considering a parameterized reduced-order output matrix. A nonisothermal tubular reactor is presented to demonstrate the observer performance as well as the advantages of the proposed sensor placement optimization scheme. (C)& nbsp;2022 Elsevier Ltd. All rights reserved.

关键词： distributed parameter systems Interpolation techniques State estimation Linear matrix inequalities Nonisothermal tubular reactors

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Observer Design for a Class of Semilinear Hyperbolic PDEs With distributed Sensing and Parametric Uncertainties

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2022年第1期67卷 134-145页

作者： Holta, Haavard Aamo, Ole Morten Norwegian Univ Sci & Technol Dept Engn Cybernet N-7491 Trondheim Norway

We study a class of heterodirectional semilinear hyperbolic partial differential equations, where the distributed state vector is partially measured. An observer estimating the unmeasured part of the state vector is designed. The design is, for instance, applicable to multiphase 1-D fluid models, where the pressure is measured, but the distributed flow and phase concentrations are not. Furthermore, the observer is extended to systems with parametric uncertainties appearing in the dynamics of the unmeasured part of the state. While required to be linear in the uncertain parameter, the uncertain term may be nonlinear in the state, even in the unmeasured part of the state. Terms of this type appear often in applications and cover, for instance, viscous drag in fluid flow systems. A noteworthy property of the design is that convergence of the state estimate is achieved without requiring persistent excitation. Two example applications are presented, and the design is illustrated in a simulation.

关键词： Observers Uncertainty Transmission line measurements Oils Integrated circuits Eigenvalues and eigenfunctions Production distributed parameter systems adaptive systems state estimation-observers

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Damping assignment of boundary controlled port-Hamiltonian systems with unknown open-loop damping 22

Damping assignment of boundary controlled port-Hamiltonian s...

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22nd World Congress of the International Federation of Automatic Control (IFAC)

作者： Toledo-Zucco, Jesus-Pablo De Souza, Alex Dos Reis Vuillemin, Pierre Poussot-Vassal, Charles ONERA French Aerosp Lab DTIS 2 Ave Edouard Belin F-31400 Toulouse France

ISBN: (纸本)9781713872344

A damping assignment control law for infinite-dimensional port-Hamiltonian systems in one-dimensional space with actuators and sensors located at the spatial boundaries is proposed with the novelty that the boundary damping is unknown. This allows us to fix a desired decay of energy for the cases in which the system is over-damped, poorly damped, and even with negative damping. We propose an observer composed of an infinite-dimensional model and a finite-dimensional one for the state and parameter estimation. The asymptotic convergence of the observer is shown using LaSalle's invariance principle assuming that the trajectories are precompact. Finally, an observer-based adaptive output feedback controller is proposed for the damping assignment in the closed loop. The passivity of the closed-loop system is guaranteed with respect to the initial Hamiltonian of the system under the assumption that the observer is initialized identically to the current state and close enough to the parameter value. The transmission line is used to exemplify this approach. Copyright (c) 2023 The Authors.

关键词： Boundary control systems distributed parameter systems port-Hamiltonian systems damping assignment observer design adaptive control.

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Sensor location selection for continuous pulp digesters with delayed measurements

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AICHE JOURNAL 2022年第12期68卷 e17862-e17862页

作者： Zhang, Lu Xie, Junyao Dubljevic, Stevan Univ Alberta Dept Chem & Mat Engn Edmonton AB T6G 2V4 Canada

The state estimation and sensor placement for a continuous pulp digester with delayed measurements are investigated. The underlying model of interest is heat transfer in a pulp digester modeled by two coupled hyperbolic partial differential equations and an ordinary differential equation. Output measurements are considered with delay due to the possible low sampling rate. The Cayley-Tustin transformation is utilized to realize model time discretization in a late lumping manner which does not account for any type of spatial approximation or model reduction. The discrete Kalman filter is applied to estimate the system states using the delayed measurements. The selection of sensor location is addressed along with estimator design accounting for the delayed measurements and investigated by minimizing the variance of estimation error. The performance of the state estimator is evaluated, and the sensor placement is analyzed through simulation studies, which offers a planning view of sensor location in industrial applications.

关键词： distributed parameter systems Kalman filter process control pulp digester

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Strict Dissipativity for LQ Problem with Left-invertible Underlying Semigroups 22

Strict Dissipativity for LQ Problem with Left-invertible Und...

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22nd World Congress of the International Federation of Automatic Control (IFAC)

作者： Guglielmi, Roberto Li, Zhuqing Univ Waterloo Waterloo ON Canada

ISBN: (纸本)9781713872344

The paper analyzes the strict dissipativity property of generalized linear-quadratic infinite dimensional optimal control systems. For dynamics described by left-invertible semigroups, we first characterize exponential detectability of the system in terms of an analytic condition. Then, under a stabilizability assumption, we establish the equivalence beween strict dissipativity and exponential detectability of the system.

关键词： distributed parameter systems dissipativity left-invertible semigroup exponential detectability linear-quadratic problem

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