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Design of finite dimensional robust H_∞ distributed consensus filters for dissipative PDE systems with sensor networks

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2015年第10期25卷 1454-1471页

作者： Wang, Hong-Du Wu, Huai-Ning Beijing Univ Aeronaut & Astronaut Beihang Univ Sch Automat Sci & Elect Engn Sci & Technol Aircraft Control Lab Beijing 100191 Peoples R China

This paper presents a design method of finite dimensional robust H distributed consensus filters (DCFs) for a class of dissipative nonlinear partial differential equation (PDE) systems with a sensor network, for which the eigenvalue spectrum of the spatial differential operator can be partitioned into a finite dimensional slow one and an infinite dimensional stable fast complement. Initially, the modal decomposition technique is applied to the PDE system to derive a finite dimensional ordinary differential equation system that accurately describes the dynamics of the dominant (slow) modes of the PDE system. Then, based on the slow subsystem, a set of finite dimensional robust H DCFs are developed to enforce the consensus of the slow mode estimates and state estimates of all local filters for all admissible nonlinear dynamics and observation spillover, while attenuating the effect of external disturbances. The Luenberger and consensus gains of the proposed DCFs can be obtained by solving a set of linear matrix inequalities (LMIs). Furthermore, by the existing LMI optimization technique, a suboptimal design of robust H DCFs is proposed in the sense of minimizing the attenuation level. Finally, the effectiveness of the proposed DCFs is demonstrated on the state estimation of one dimensional Kuramoto-Sivashinsky equation system with a sensor network. Copyright (c) 2014 John Wiley & Sons, Ltd.

关键词： dissipative PDE systems distributed consensus filters modal decomposition sensor networks state estimation

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Adaptive consensus filters of spatially distributed systems with limited connectivity

Adaptive consensus filters of spatially distributed systems ...

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52nd IEEE Annual Conference on Decision and Control (CDC)

作者： Demetriou, Michael A. Worcester Polytech Inst Dept Mech Engn Aerosp Engn Program Worcester MA 01609 USA

ISBN: (纸本)9781467357173

This work is concerned with the design and optimization of distributed consensus filters for infinite dimensional systems. It is assumed that different sensors are available to provide state information of the infinite dimensional process and it is desired to design distributed filters, each of which is utilizing its own sensor, with the ultimate goal of arriving at an improved estimate of the infinite dimensional process state. The consensus filters for the infinite dimensional system are proposed and their well-posedness and convergence properties are examined for the case of limited connectivity between the agents generating the distributed filters. A modification in the form of an adaptive consensus gain is also proposed and the convergence properties are examined. Using Lyapunov-redesign methods for the infinite dimensional system, stable adaptive laws for the consensus weights are presented.

关键词： distributed parameter systems distributed consensus filters limited connectivity adaptive consensus gains

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Guidance of Mobile Actuator-Plus-Sensor Networks for Improved Control and Estimation of distributed Parameter Systems

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2010年第7期55卷 1570-1584页

作者： Demetriou, Michael A. Worcester Polytech Inst Dept Mech Engn Worcester MA 01609 USA

This paper presents an abstract framework for the optimization of actuating and sensing devices in distributed parameter systems. The optimization is performed on the repositioning of these devices throughout the spatial domain. It is assumed that a network of mobile sensing and actuating devices is available to obtain measurements from the spatially distributed process and dispense control signals to the spatially distributed process. By taking advantage of the properties that the spatial operator that governs the process dynamics possesses, namely symmetry, coercivity and boundedness, a scheme for the guidance of a mobile actuator-plus-sensor network is developed and used for the performance enhancement of the spatial process. The class of systems is governed by diffusion PDEs equipped with actuators having a boxcar spatial distribution and a collocated sensing device that provides the spatially averaged state measurement over the range of the actuating device. Using Lyapunov stability arguments, a stable guidance scheme is provided for each of the mobile agents. Due to the specific structure of the closed loop system operator with time-varying input and output operators, the same guidance schemes are applicable to the dual problem of mobile sensors employed for enhancing the state estimation problem. Both a centralized state estimator with mobile sensors and a network of consensus distributed estimators are considered, since both filters can be shown to result in the specific algebraic structure of a symmetric spatial operator with collocated input and output operators. Extensive numerical simulations for a 1-D diffusion equation with two actuator/sensor agents, a 2-D diffusion equation with one collocated actuator/sensor agent plus a centralized filter for a 1-D diffusion equation are included to verify the effectiveness of a such a mobile actuator-plus-sensor network in suppressing the effects of spatially varying disturbances and enhancing the system's perform

关键词： Centralized filters distributed consensus filters distributed parameter systems mobile actuators mobile sensors

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