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A new Lyapunov-krasovskii methodology for coupled delay differential and difference equations

INTERNATIONAL JOURNAL OF CONTROL 2008年第1期81卷 107-115页

作者： Pepe, P. Jiang, Z. -P. Fridman, E. Univ Aquila Dipartimento Ingn Elettr I-67040 Laquila Italy Polytech Univ Six Metrotech Ctr Dept Elect & Comp Engn Brooklyn NY 11201 USA Tel Aviv Univ Dept Elect Engn Syst IL-69978 Tel Aviv Israel

In this paper a new Lyapunov-Krasovskii methodology for both the (local) asymptotic stability and the global asymptotic stability of non-linear coupled delay differential and difference equations is proposed. This methodology is based on the concept of input-to-state stability applied to the difference equation, for which a sufficient Lyapunov criterion is given, and on previous methodologies developed in the literature for linear delay descriptor systems.

关键词： input-output linearization SYSTEMS STABILITY

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Power Tracking Control of Heterogeneous Populations of Thermostatically Controlled Loads With Partially Measured States

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IEEE ACCESS 2024年 12卷 57674-57687页

作者： Zhang, Zhenhe Zheng, Jun Zhu, Guchuan Polytech Montreal Dept Elect Engn Montreal PQ H3T 1J4 Canada Southwest Jiaotong Univ Sch Math Chengdu 611756 Sichuan Peoples R China

This paper presents a new aggregate power tracking control scheme for populations of thermostatically controlled loads (TCLs). The control design is performed in the framework of partial differential equations (PDEs) based on a late-lumping procedure without truncating the infinite-dimensional model describing the dynamics of the TCL population. An input-output linearization control scheme, which is independent of system parameters and uses only partial state measurement, is derived, and a sliding mode-like control is applied to achieve finite-time input-to-state stability for tracking error dynamics. Such a control strategy can ensure robust performance in the presence of modeling uncertainties, while considerably reducing the communication burden in large-scale distributed systems similar to that considered in the present work. A rigorous analysis of the closed-loop stability of the underlying PDE system was conducted, which guarantees the validity of the developed control scheme. Simulation studies were performed while considering two TCL populations with a significant difference in their size, and the results show that the developed control scheme performs well in both cases, thereby confirming the effectiveness of the proposed solution.

关键词： Aggregate power tracking control finite-time input-to-state stability input-output linearization partial differential equations thermostatically controlled loads

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Improving the performance of UDE-based controller using a new filter design

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NONLINEAR DYNAMICS 2014年第3期77卷 753-768页

作者： Chandar, T. S. Talole, S. E. PES Inst Technol Dept Elect & Commun Engn Bangalore 560085 Karnataka India Def Inst Adv Technol Dept Aerosp Engn Pune 411025 Maharashtra India

Robust control of uncertain systems has been a field of active research and the technique of uncertainty and disturbance estimator (UDE) has proved itself as a viable tool in the design of a robust control strategy for systems having uncertainties and acted upon by disturbances. Though the technique is quite efficient for ensuring robustness under slow-varying disturbances, the presence of steady-state tracking and estimation errors cannot be ruled out for fast-varying or sinusoidal disturbances. To address this issue, a new form of filter in UDE-based controller is proposed in this work and it is shown that the errors can be kept within acceptable limits by means of appropriate choice of the design parameter . Closed-loop stability and simulation results for wing-rock motion control problem employing an UDE-based controller using the new filter are carried out to demonstrate its efficacy against fast-varying uncertainties and disturbances.

关键词： Uncertainty and disturbance estimation input-output linearization Nonlinear control Robust control Controller-observer structure Wing-rock motion control

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An overview on flight dynamics and control approaches for hypersonic vehicles

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Science China(Information Sciences) 2015年第7期58卷 7-27页

作者： XU Bin SHI ZhongKe School of Automation Northwestern Polytechnical University National Key Laboratory of Aerospace Flight Dynamics Northwestern Polytechnical University

With the capability of high speed flying, a more reliable and cost efficient way to access space is provided by hypersonic flight vehicles. Controller design, as key technology to make hypersonic flight feasible and efficient, has numerous challenges stemming from large flight envelope with extreme range of operation conditions, strong interactions between elastic airframe, the propulsion system and the structural *** paper briefly presents several commonly studied hypersonic flight dynamics such as winged-cone model,truth model, curve-fitted model, control oriented model and re-entry motion. In view of different schemes such as linearizing at the trim state, input-output linearization, characteristic modeling, and back-stepping, the recent research on hypersonic flight control is reviewed and the comparison is presented. To show the challenges for hypersonic flight control, some specific characteristics of hypersonic flight are discussed and the potential future research is addressed with dealing with actuator dynamics, aerodynamic/reaction-jet control, flexible effects,non-minimum phase problem and dynamics interaction.

关键词： hypersonic flight vehicle linearizing at the trim state input-output linearization back-stepping non-minimum phase

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New approach to linear exact model matching for a class of nonlinear systems

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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 1997年第3期94卷 591-617页

作者： Paraskevopoulos, PN Tsirikos, AS Professor Division of Computer Science Department of Electrical and Computer Engineering Zographou Athens Greece Post-Doctoral Fellow Division of Computer Science Department of Electrical and Computer Engineering Zographou Athens Greece

In this paper, a new approach to the linear exact model matching problem for a class of nonlinear systems, using static state feedback, is presented. This approach reduces the problem of determining the state feedback control law to that of solving a system of first-order partial differential equations. Based on these equations, two major issues are resolved: the necessary and sufficient conditions for the problem to have a solution and the general analytical expression for the feedback control law. Furthermore, the proposed approach is extended to solve the same problem via static output feedback.

关键词： nonlinear systems model matching input-output linearization

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Strategies for enhancing nonlinear internal model control of pH processes

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JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 1999年第1期32卷 59-68页

作者： Hu, QP Rangaiah, GP Natl Univ Singapore Dept Environm Chem & Engn Singapore 119260 Singapore

Control of neutralization processes is very difficult due to nonlinear dynamics, different types of disturbances and modeling errors. The objective of the paper is to evaluate two strategies (augmented internal model control, AuIMC and adaptive internal model control, AdIMC) for enhancing pH control by nonlinear internal model control (NIMC). A NIMC controller is derived directly from input output linearization. The AuIMC is composed of NIMC and an additional loop through which the difference between the process and model outputs is fed back and added to the input of the controller. For the AdIMC, an adaptive law with two tuning parameters is proposed for estimating the unknown parameter. Both AuIMC and AdIMC are extensively tested via simulation for pH neutralization. The theoretical and simulation results show that both the proposed strategies can reduce the effect of modeling errors and disturbances, and thereby enhance the performance of NIMC for pH processes.

关键词： pH processes input-output linearization nonlinear systems internal model control robust control

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Reference shaping for model-based control of biomass grate boilers

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CONTROL ENGINEERING PRACTICE 2019年 82卷 173-184页

作者： Seeber, Richard Goelles, Markus Dourdoumas, Nicolaos Horn, Martin Graz Univ Technol Inst Automat & Control Graz Austria Bioenergy 2020 GmbH Graz Austria

An established control strategy for biomass grate boilers based on a low-order nonlinear model is considered. Under ideal conditions, it achieves decoupled control of desired outputs by means of input output linearization. The decoupling is gradually reduced and control performance deteriorates when actuator saturation occurs. This may be avoided by appropriately shaping the control strategy's reference values. This contribution presents a method to do so by solving a sequence of linear programs. Its implementation requires the knowledge of typically unknown limits of mass-flows fed into the plant. An estimation strategy for these limits based on measurable quantities is thus proposed. Experimental data from three different scenarios is presented, in which the reference shaping improves tracking, mitigates wind-up phenomena and reduces emissions, respectively.

关键词： Actuator saturation Reference shaping Command governor Reference governor Conditioning technique Model-based control input-output linearization Biomass combustion

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High-performance motion control of an induction motor with magnetic saturation

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IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY 1999年第3期7卷 315-327页

作者： Novotnak, RT Chiasson, J Bodson, M Univ Pittsburgh Pittsburgh PA USA Univ Utah Dept Elect Engn Salt Lake City UT 84112 USA

This work generalizes the authors' work on highperformance control of induction motors to machines that exhibit significant magnetic saturation. The controller design is based on the standard d-q model of the induction motor which has been modified to account for the saturation of the iron in the main (magnetic) path of the machine, An input-output linearization controller is used to provide independent (decoupled) control of the speed and flux, With this controller, the flux reference becomes an extra degree of freedom for the designer to help achieve performance objectives. Taking into account saturation along with the voltage and current constraints, the flux reference is chosen to achieve the optimal torque (maximum for acceleration and minimum for deceleration) at any given speed. Experimental results are given to demonstrate the input-output controller's effectiveness in providing the tracking of a given position and speed trajectory while simultaneously tracking the optimal flux reference, The set of experiments are fast point-to-point motion control moves with an inertial load comparing the input-output controller based on the saturated magnetics model with that based on the linear magnetics model.

关键词： DSP induction motors input-output linearization magnetic saturation

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Differential-geometric model-based control (DGMBC): A software package for controller design

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COMPUTERS & CHEMICAL ENGINEERING 2008年第7期32卷 1569-1588页

作者： Panjapornpon, Chanin Soroush, Masoud Seider, Warren D. Drexel Univ Dept Chem & Biol Engn Philadelphia PA 19104 USA Univ Penn Dept Chem & Biomol Engn Philadelphia PA 19104 USA

This paper presents a new software package, called differential-geometric model-based control (DGMBC), which carries out symbolic manipulations to automatically generate differential-geometric, model-based controllers and subsequently tests the designed controller. This prototype software was developed to simplify the industrial implementation and testing of differential-geometric, model-based controllers on lumped-parameter processes. DGMBC has a user-friendly interface that allows a user to enter process model equations and parameters easily. The user interface was developed using Visual Basic and linked to MATHEMATICA using MathLink. The user enters the process model (set of ordinary differential equations), and the software generates an analytical model-based controller, if an analytical solution exists. The resulting analytical model-based controller (set of ordinary differential and algebraic equations) can be in FORTRAN, C, or MATLAB format. DGMBC can also simulate the closed-loop process responses. The application and implementation of DGMBC 1.0 are shown using three chemical and biochemical process examples with varying levels of complexity. An analytical model-based controller is designed for each of the processes, and simulation results showing the closed-loop process responses are presented. (C) 2007 Elsevier Ltd. All rights reserved.

关键词： controller design software model-based control input-output linearization feedback linearization numerical simulation computer-aided design software

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Model based control of a small-scale biomass boiler

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CONTROL ENGINEERING PRACTICE 2014年第1期22卷 94-102页

作者： Goelles, Markus Reiter, Stefan Brunner, Thomas Dourdoumas, Nicolaos Obernberger, Ingwald BIOENERGY 2020 GmbH A-8010 Graz Austria Graz Univ Technol Inst Automat & Control A-8010 Graz Austria Graz Univ Technol Inst Proc & Particle Engn A-8010 Graz Austria BIOS BIOENERGIESYST GmbH A-8010 Graz Austria

Because of increased efforts to reduce CO2 emissions a significant step in the development of small-scale (residential) biomass boilers for space heating has been achieved in recent years. Currently, the full potential for low-emission operation at high efficiencies, which is in principle possible due to optimized furnace geometries as well as combustion air staging strategies, cannot be exploited since there is still the need to enhance the controllers applied. For this reason, a model based control strategy for small-scale biomass boilers was developed and successfully implemented in a commercially available system. Thereby, appropriate mathematical models were developed for all relevant parts of the furnace and connected to an overall model subsequently used for the control unit design. The resulting controller is based on the input-output linearization and the state variables are estimated by an extended Kalman filter. Finally, the new control was implemented at a commercially available small-scale biomass boiler and the experimental verification showed a significant improvement of the operating behaviour in comparison to the conventional control. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： Biomass Combustion Small-scale boiler Residential heating input-output linearization Kalman filter

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