This article presents the application of the structured H8 control approach to the design of the LISA mission accelerometer mode. This joint ESA/NASA mission will be the first space-based gravitational wave observator...
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ISBN:
(纸本)9781713872344
This article presents the application of the structured H8 control approach to the design of the LISA mission accelerometer mode. This joint ESA/NASA mission will be the first space-based gravitational wave observatory and is characterized by very stringent scientific constraints resulting in unprecedented control challenges in terms of precision, accuracy, and complexity. The results presented in here were the first demonstration step performed within an ESA study tasked with surveying, trading-off, and applying advanced control techniques to LISA. In addition to showing the methodological gains and design capabilities of the structured H8 approach, the effects of hardware changes as well as control switching were also analyzed for the designed controllers providing good insight on the way forward to reduce the associated transients. The results presented in this article laid the groundwork, and design process, to subsequently design and validate the full LISA accelerometer mode.
In large-scale dynamic systems, consisting of the interconnection of several sub-systems, the control law must obey a certain distributed structure defined by the information exchange pattern on a communication networ...
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ISBN:
(纸本)9781713872344
In large-scale dynamic systems, consisting of the interconnection of several sub-systems, the control law must obey a certain distributed structure defined by the information exchange pattern on a communication network. In case the system exhibits parameters which vary over time, the Linear Parameter Varying (LPV) paradigm provides a control-oriented framework for the design of robust or gain-scheduled control laws. Since each subsystem has only access to a partial knowledge of the overall set of parameters, due to the constraint imposed by the communication network, the controller gain must satisfy some structural constraints which increase the complexity of the design problem. This paper proposes a novel approach based on Linear Matrix Inequalities (LMIs) to deal with the distributed control of large-scale systems described by a LPV dynamics. LMI conditions are established for the design of a gain-scheduled controller ensuring exponential stability of the overall system with a prescribed decay rate, while satisfying the structural constraints imposed by the communication network. A simulation case study is presented to show the effectiveness of the proposed approach.
The problem of robust controller synthesis for plants affected by structured uncertainty, captured by integral quadratic constraints, is discussed. The solution is optimized towards a worst-case white noise rejection ...
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ISBN:
(纸本)9781713872344
The problem of robust controller synthesis for plants affected by structured uncertainty, captured by integral quadratic constraints, is discussed. The solution is optimized towards a worst-case white noise rejection specification, which is a generalization of the standard H-2-norm to the robust setting including possibly non-LTI uncertainty. Arbitrary structural constraints can be imposed on the control solution, making this method suitable for distributed systems. The nonsmooth optimization algorithm used to solve the robust synthesis problem operates directly in the frequency domain, eliminating scalability issues for complex systems and providing local optimality certificates. The method is evaluated using a literature example and a real-world system using a novel implementation of a robust H-2-performance bound. Copyright (c) 2023 The Authors.
This paper presents a systematic approach to design a hybrid oscillator that admits an orbitally stable periodic solution of a certain type with pre-defined parameters. The parsimonious structure of the Impulsive Good...
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ISBN:
(纸本)9781713872344
This paper presents a systematic approach to design a hybrid oscillator that admits an orbitally stable periodic solution of a certain type with pre-defined parameters. The parsimonious structure of the Impulsive Goodwin's oscillator (IGO) is selected for the implementation due to its well-researched rich nonlinear dynamics. The IGO is a feedback interconnection of a positive third-order continuous-time LTI system and a nonlinear frequency and amplitude impulsive modulator. A design algorithm based on solving a bilinear matrix inequality is proposed yielding the slope values of the modulation functions that guarantee stability of the fixed point defining the designed periodic solution. Further, assuming Hill function parameterizaton of the pulse-modulated feedback, the parameters of those rendering the desired stationary properties are calculated. The character of perturbed solutions in vicinity of the fixed point is controlled through localization of the multipliers. The proposed design approach is illustrated by a numerical example. Bifurcation analysis of the resulting oscillator is performed to explore the nonlinear phenomena in vicinity of the designed dynamics. Copyright (c) 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://***/licenses/by-nc-nd/4.0/)
This paper considers the problem of static output feedback (SOF) synthesis for linear timeinvariant (LTI) systems. Static output feedback, and more generally structured controller synthesis, is of special interest to ...
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ISBN:
(纸本)9781713872344
This paper considers the problem of static output feedback (SOF) synthesis for linear timeinvariant (LTI) systems. Static output feedback, and more generally structured controller synthesis, is of special interest to any industrial application where a reduced-order controller is desired, e.g., high-order systems, or a specific structure is to be imposed, i.e., distributed/decentralised control. A simple two-step process is proposed, solving one Riccati equation and one optimisation problem with linear matrix inequality (LMI) constraints, enabled via a dilation using the distance to the full-state feedback optimum gain. Numerical analysis shows considerable computational savings, with negligible differences in the performance, when compared to current iterative methods. Copyright (c) 2023 The Authors.
A new approach is presented to obtain a convex set of robust D-stabilizing fixed structurecontrollers, relying on Cauchy's argument principle. A convex set of D-stabilizing controllers around an initial D-stabili...
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A new approach is presented to obtain a convex set of robust D-stabilizing fixed structurecontrollers, relying on Cauchy's argument principle. A convex set of D-stabilizing controllers around an initial D-stabilizing controller for a multi-model set is represented by an infinite set of Linear Matrix Inequalities (LMIs). By appropriate sampling of the D-stability boundary, a Semi-Definite Programming (SDP) is proposed that can be integrated in other synthesis approaches to ensure D-stability along other design specifications. To showcase utility of the proposed approach, two different examples are given: a boost converter with multi-model uncertainty and a laser-beam system modeled by an identified finite impulse response. Copyright (C) 2022 The Authors.
We study internal stability in the context of diffusively-coupled control architectures, common in multi-agent systems (i.e. the celebrated consensus protocol), for linear time-invariant agents. We derive a condition ...
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We study internal stability in the context of diffusively-coupled control architectures, common in multi-agent systems (i.e. the celebrated consensus protocol), for linear time-invariant agents. We derive a condition under which the system cannot be stabilized by any controller from that class. In the finite-dimensional case the condition states that diffusive controllers cannot stabilize agents that share common unstable dynamics, directions included. This class always contains the group of homogeneous unstable agents, like integrators. We argue that the underlying reason is intrinsic cancellations of unstable agent dynamics by such controllers, even static ones, where directional properties play a key role. The intrinsic lack of internal stability explains the notorious behavior of some distributed control protocols when affected by measurement noise or exogenous disturbances.& COPY;2023 Elsevier Ltd. All rights reserved.
The problem of robust controller synthesis for plants affected by structured uncertainty, captured by integral quadratic constraints, is discussed. The solution is optimized towards a worst-case white noise rejection ...
详细信息
The problem of robust controller synthesis for plants affected by structured uncertainty, captured by integral quadratic constraints, is discussed. The solution is optimized towards a worst-case white noise rejection specification, which is a generalization of the standard H 2 -norm to the robust setting including possibly non-LTI uncertainty. Arbitrary structural constraints can be imposed on the control solution, making this method suitable for distributed systems. The nonsmooth optimization algorithm used to solve the robust synthesis problem operates directly in the frequency domain, eliminating scalability issues for complex systems and providing local optimality certificates. The method is evaluated using a literature example and a real-world system using a novel implementation of a robust H 2 -performance bound.
This article presents the application of the structured H ∞ control approach to the design of the LISA mission accelerometer mode. This joint ESA/NASA mission will be the first space-based gravitational wave observat...
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This article presents the application of the structured H ∞ control approach to the design of the LISA mission accelerometer mode. This joint ESA/NASA mission will be the first space-based gravitational wave observatory and is characterized by very stringent scientific constraints resulting in unprecedented control challenges in terms of precision, accuracy, and complexity. The results presented in here were the first demonstration step performed within an ESA study tasked with surveying, trading-off, and applying advanced control techniques to LISA. In addition to showing the methodological gains and design capabilities of the structured H ∞ approach, the effects of hardware changes as well as control switching were also analyzed for the designed controllers providing good insight on the way forward to reduce the associated transients. The results presented in this article laid the groundwork, and design process, to subsequently design and validate the full LISA accelerometer mode.
In large-scale dynamic systems, consisting of the interconnection of several subsystems, the control law must obey a certain distributed structure defined by the information exchange pattern on a communication network...
详细信息
In large-scale dynamic systems, consisting of the interconnection of several subsystems, the control law must obey a certain distributed structure defined by the information exchange pattern on a communication network. In case the system exhibits parameters which vary over time, the Linear Parameter Varying (LPV) paradigm provides a control-oriented framework for the design of robust or gain-scheduled control laws. Since each subsystem has only access to a partial knowledge of the overall set of parameters, due to the constraint imposed by the communication network, the controller gain must satisfy some structural constraints which increase the complexity of the design problem. This paper proposes a novel approach based on Linear Matrix Inequalities (LMIs) to deal with the distributed control of large-scale systems described by a LPV dynamics. LMI conditions are established for the design of a gain-scheduled controller ensuring exponential stability of the overall system with a prescribed decay rate, while satisfying the structural constraints imposed by the communication network. A simulation case study is presented to show the effectiveness of the proposed approach.
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