AbstarctThis work presents a theoretical framework for the safety-critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay-free systems, is exte...
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AbstarctThis work presents a theoretical framework for the safety-critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay-free systems, is extended to systems with state delay. The notion of control barrier functionals is introduced, to attain formal safety guarantees by enforcing the forward invariance of safe sets defined in the infinite dimensional state space. The proposed framework is able to handle multiple delays and distributed delays both in the dynamics and in the safety condition, and provides an affine constraint on the control input that yields provable safety. This constraint can be incorporated into optimization problems to synthesize pointwise optimal and provable safe controllers. The applicability of the proposed method is demonstrated by numerical simulation examples.
In this work the problem of regulation of the Root Mean Square (RMS) value of the current for Series Resonant Converter (SRC) is addressed. The self-oscillating behavior is ensured by an amplitude modulation like cont...
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In this work the problem of regulation of the Root Mean Square (RMS) value of the current for Series Resonant Converter (SRC) is addressed. The self-oscillating behavior is ensured by an amplitude modulation like control law and the RMS value is estimated with a proposed hybrid system. The closed-loop regulation is done with a Proportional-Integral (PI) controller with anti-windup scheme, and a set of Linear Matrix Inequalities (LMIs) is introduced to tune the gains. The knowledge of a reference trajectory is not needed to implement the controller, and it is shown to be effective in simulation considering uncertain parameters. Copyright (c) 2024 The Authors. This is an open access article under the CC BY-NC-ND license (https://***/licenses/by-nc-nd/4.0/)
In this study, we propose a design method for a locally semiconcave practical control Lyapunov function (LS-PCLF) for global asymptotic stabilization. The proposed method focuses on a cascade system that is interconne...
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In this study, we propose a design method for a locally semiconcave practical control Lyapunov function (LS-PCLF) for global asymptotic stabilization. The proposed method focuses on a cascade system that is interconnected by state in a differentiable manifold. To design an LS-PCLF, we lift the system to an etale space of the state space. In general, the lifted system has multiple equilibrium points that correspond to the desired equilibrium point of the original system. By assigning a virtual input to one of the equilibrium points, we can employ an LS-PCLF design method analogous to backstepping. A numerical example demonstrates the effectiveness of the proposed method. Copyright (c) 2024 The Authors. This is an open access article under the CC BY-NC-ND license (https://***/licenses/by-nc-nd/4.0/)
In this work the problem of regulation of the Root Mean Square (RMS) value of the current for Series Resonant Converter (SRC) is addressed. The self-oscillating behavior is ensured by an amplitude modulation like cont...
详细信息
In this work the problem of regulation of the Root Mean Square (RMS) value of the current for Series Resonant Converter (SRC) is addressed. The self-oscillating behavior is ensured by an amplitude modulation like control law and the RMS value is estimated with a proposed hybrid system. The closed-loop regulation is done with a Proportional-Integral (PI) controller with anti-windup scheme, and a set of Linear Matrix Inequalities (LMIs) is introduced to tune the gains. The knowledge of a reference trajectory is not needed to implement the controller, and it is shown to be effective in simulation considering uncertain parameters.
There are various different attitude representations that describe the orientation of a rigid body in space and allow the transformation between different coordinate systems. Among others, they differ in number of var...
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There are various different attitude representations that describe the orientation of a rigid body in space and allow the transformation between different coordinate systems. Among others, they differ in number of variables, uniqueness of the representation and their continuity. However, in spite of some of them being based on angles, none of them constitutes a simple representation of an angle between two arbitrary vectors. We tackle this issue by proposing a novel attitude representation that directly incorporates the desired angle. The usefulness of this representation is demonstrated in the attitude reconstruction from temperature data, which then leads to an order reduction of a non-linear system. Copyright (C) 2021 The Authors.
When designing Networked controlsystems (NCS), the maximum allowable transmission interval (MATI) is an important quantity, as it provides the admissible time between two transmission instants. An efficient procedure...
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When designing Networked controlsystems (NCS), the maximum allowable transmission interval (MATI) is an important quantity, as it provides the admissible time between two transmission instants. An efficient procedure to compute a bound on the MATI such that stability can be guaranteed for general nonlinear NCS is the emulation of a continuous-time controller. In this paper, we present a simple but efficient modification to the well-established emulation-based approach from Carnevale et al. (2007) to derive a bound on the MATI. Whilst only minor technical changes are required, the proposed modification can lead to significant improvements for the MATI bound as compared to Carnevale et al. (2007). We revisit two numerical examples from literature and demonstrate that the improvement may amount to more than 100%. Copyright (C) 2021 The Authors.
In this work, we propose passivity-based control techniques, where the resulting controllers include the entire class of dynamic output feedback controllers that preserve the port-Hamiltonian structure. The proposed m...
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In this work, we propose passivity-based control techniques, where the resulting controllers include the entire class of dynamic output feedback controllers that preserve the port-Hamiltonian structure. The proposed methodology considers a dynamic output feedback controller such that the linearized relationship between the control inputs and the outputs of interest can be interpreted as a high-order compensator. Accordingly, the controllers are studied in the framework of the transfer functions, and the control gains can be tuned through a frequency analysis approach while ensuring the stability of the closed-loop system. Additionally, the controllers have the advantage that they do not require velocity measurements. We illustrate the applicability of the proposed methodology through a numerical example. Copyright (C) 2021 The Authors.
This paper presents the design and investigation of a nonlinear model predictive controller (NMPC) for an inverted pendulum with velocity input. The controller is implemented on a test-rig using the GRAMPC-Toolbox. It...
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This paper presents the design and investigation of a nonlinear model predictive controller (NMPC) for an inverted pendulum with velocity input. The controller is implemented on a test-rig using the GRAMPC-Toolbox. It is shown that swing-up/stabilisation and side-stepping can be achieved in a single controller using a suitable cost functional as well as prediction horizon. The impact of different NMPC design parameters on the achievable performance and stability properties is investigated and discussed. Finally, a comparative analysis with an alternative nonlinearcontrol - consisting of energy-based swing-up and a tracking controller based on extended linearisation techniques and state-dependent Riccati equations (SDRE) - is carried out. The individual strength or weakness is discussed based on experimental results at a test rig. Copyright (C) 2021 The Authors.
There are various different attitude representations that describe the orientation of a rigid body in space and allow the transformation between different coordinate systems. Among others, they differ in number of var...
详细信息
There are various different attitude representations that describe the orientation of a rigid body in space and allow the transformation between different coordinate systems. Among others, they differ in number of variables, uniqueness of the representation and their continuity. However, in spite of some of them being based on angles, none of them constitutes a simple representation of an angle between two arbitrary vectors. We tackle this issue by proposing a novel attitude representation that directly incorporates the desired angle. The usefulness of this representation is demonstrated in the attitude reconstruction from temperature data, which then leads to an order reduction of a non-linear system.
This paper presents the design and investigation of a nonlinear model predictive controller (NMPC) for an inverted pendulum with velocity input. The controller is implemented on a test-rig using the GRAMPC-Toolbox. It...
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This paper presents the design and investigation of a nonlinear model predictive controller (NMPC) for an inverted pendulum with velocity input. The controller is implemented on a test-rig using the GRAMPC-Toolbox. It is shown that swing-up/ stabilisation and side-stepping can be achieved in a single controller using a suitable cost functional as well as prediction horizon. The impact of different NMPC design parameters on the achievable performance and stability properties is investigated and discussed. Finally, a comparative analysis with an alternative nonlinearcontrol – consisting of energy-based swing-up and a tracking controller based on extended linearisation techniques and state-dependent Riccati equations (SDRE) – is carried out. The individual strength or weakness is discussed based on experimental results at a test rig.
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