This paper presents an implementation of the unfalsified control (UC) method using the Riccati-based parameterisation of [GRAPHICS] controllers. The method provides an infinite controller set to (un)falsify the real-t...
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This paper presents an implementation of the unfalsified control (UC) method using the Riccati-based parameterisation of [GRAPHICS] controllers. The method provides an infinite controller set to (un)falsify the real-time data streams seeking for the best performance. Different sets may be designed to increase the degrees of freedom of the set of controller candidates to perform UC. In general, a set of m central controllers could be designed, each one seeking different objectives and all with their own parameterisation as a function of a stable and bounded transfer matrix. For example, one controller parameterisation could be designed to solve the robust stability of a model set which covers the physical system, therefore guaranteeing feasibility. The implementation requires the online optimisation of either quadratic fractional or quadratic problems, depending on the selection of the cost function. A multi-input, multi-output (MIMO) time-varying model of a permanent magnet synchronous generator illustrates the use of this technique.
作者：
Xie, WeiS China Univ Technol
Coll Automat Sci & Technol Guangzhou 510641 Guangdong Peoples R China S China Univ Technol
Minist Educ Key Lab Autonomous Syst & Network Control Guangzhou 510641 Guangdong Peoples R China
This paper addresses the problem of H-similar to performance controller parameterisation for a plant switching amongst a finite family of given configurations. It is assumed that switching is uncontrolled, namely gove...
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This paper addresses the problem of H-similar to performance controller parameterisation for a plant switching amongst a finite family of given configurations. It is assumed that switching is uncontrolled, namely governed by some arbitrary switching rule, and that the controller has the information of the current configuration. Based on Riccati inequalities, there exists a set of controller parameterisation which ensures that the closed-loop switching linear system under uncontrolled switching achieves certain H-similar to controlled performance.
This article deals with the predictive control for linear systems, described in a explicit form as piecewise affine (PWA) state feedback laws. The main goal is to reduce the sensitivity of these schemes with respect t...
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This article deals with the predictive control for linear systems, described in a explicit form as piecewise affine (PWA) state feedback laws. The main goal is to reduce the sensitivity of these schemes with respect to the model uncertainties. This objective can be attained by considering worst-case (minmax) formulations, optimisation over the control policies or tube predictive control. Such comprehensive approaches may lead to fastidious on-line optimisation, thus reducing the range of application. In the present note, a two-stage predictive strategy is proposed, which in the first place synthesises an analytical (continuous and piecewise linear) control law based on the nominal model and secondly robustifies the control law in the neighbourhood of the equilibrium point (the feedback gain obtained for the unconstrained control problem most often assimilated to the LQR gain). How the disturbance model corresponding to the unconstrained control robustification can be used to improve the robustness of the PWA control law is also shown.
A model for the response time of aeration systems at WWTPs is proposed. It includes the delays caused by the air supply system (consisting of blowers, throttles and pipes), the rise time of the air bubbles and all con...
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A model for the response time of aeration systems at WWTPs is proposed. It includes the delays caused by the air supply system (consisting of blowers, throttles and pipes), the rise time of the air bubbles and all control loops except the master DO controller. Beside a description of the required step-change experiments, different approaches for model calibration are given depending on the available data. Moreover, the parameters for the oxygen transfer and the response time of the aeration system model are not clearly identifiable. The model can be used for simulation studies which compare different types of controllers under changing loading and process conditions. The results from full-scale experiments at three different plants show that the response times of the aeration systems are in the range of 4 - 5 min. Taking all processes and time constants into account, some 30 min are needed to reach a new steady state after a step change of the airflow rate.
This paper presents a complete solution to the measurement output feedback H-infinity control problem subject to asymptotic tracking of an infinite energy reference and the presence of nonproper output weights. Relyin...
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This paper presents a complete solution to the measurement output feedback H-infinity control problem subject to asymptotic tracking of an infinite energy reference and the presence of nonproper output weights. Relying on generalised Sylvester-type equations, a set of all stabilising controllers is characterised, explicitly exhibiting the impacts of the reference signal and the output weight on the resulting controllers. Based on this specific parameterisation, additional disturbance attenuation is tackled, and both full-order and reduced-order controller synthesis are discussed. It is observed that the multiobjective problem is equivalent to a standard problem for an auxiliary system constructed from the original weighted system with the control input matrix and measurement output matrix being augmented by solutions to generalised Sylvester-type equations. An example is included to show the effectiveness of the present results.
ABSTRACTABSTRACTThis paper presents a complete solution to the measurement output feedbackH∞control problem subject to asymptotic tracking of an infinite energy reference and the presence of nonproper output weights....
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ABSTRACTABSTRACTThis paper presents a complete solution to the measurement output feedbackH∞control problem subject to asymptotic tracking of an infinite energy reference and the presence of nonproper output weights. Relying on generalised Sylvester-type equations, a set of all stabilising controllers is characterised, explicitly exhibiting the impacts of the reference signal and the output weight on the resulting controllers. Based on this specific parameterisation, additional disturbance attenuation is tackled, and both full-order and reduced-order controller synthesis are discussed. It is observed that the multiobjective problem is equivalent to a standard problem for an auxiliary system constructed from the original weighted system with the control input matrix and measurement output matrix being augmented by solutions to generalised Sylvester-type equations. An example is included to show the effectiveness of the present results.
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