Searched for: subject%3A%22Lyapunov%255C+methods%22
(1 - 15 of 15)
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Lv, Maolong (author), De Schutter, B.H.K. (author), Wang, Ying (author), Shen, Di (author)
This article attempts to realize zero-error constrained tracking for hypersonic flight vehicles (HFVs) subject to unknown control directions and asymmetric flight state constraints. The main challenges of reaching such goals consist in that addressing multiple unknown control directions requires novel conditional inequalities encompassing the...
journal article 2023
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Grande, Davide (author), Peruffo, A. (author), Anderlini, Enrico (author), Salavasidis, Georgios (author)
Machine learning-based methodologies have recently been adapted to solve control problems. The Neural Lyapunov Control (NLC) method is one such example. This approach combines Artificial Neural Networks (ANNs) with Satisfiability Modulo Theories (SMT) solvers to synthesise stabilising control laws and to prove their formal correctness. The...
journal article 2023
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Zuo, Renwei (author), Li, Yinghui (author), Lv, Maolong (author), Liu, Zongcheng (author), Zhang, Fan (author)
This article proposes an output-feedback fixed-time trajectory tracking control methodology for hypersonic flight vehicles subject to asymmetric output constraints. In contrast to the state of the art, the most distinguishing feature of our control design lies in avoiding using conventional recursive design methods (e.g., backstepping...
journal article 2022
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Wang, Ning (author), Wang, Ying (author), Wen, Guanghui (author), Lv, Maolong (author), Zhang, Fan (author)
This article aims to realize event-triggered constrained consensus tracking for high-order nonlinear multiagent networks subject to full-state constraints. The main challenge of achieving such goals lies in the fact that the standard designs [e.g., backstepping, event-triggered control, and barrier Lyapunov functions (BLFs)] successfully...
journal article 2022
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Borja Rosales, L.P. (author), Della Santina, C. (author), Dabiri, A. (author)
Damping injection is a well-studied tool in nonlinear control theory to stabilize and shape the transient of mechanical systems. Interestingly, the injection of coupled damping yielding gyroscopic forces has received far less attention. This letter aims to fill this gap for gyroscopic forces that couple actuated and unactuated coordinates. First...
journal article 2022
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Bellizio, Federica (author), Cremer, Jochen (author), Strbac, Goran (author)
This paper proposes a method to compute corrective control actions for dynamic security in real-time and quantifies the economic value of corrective control. Lowered inertia requires fast control methods in real-time to correct system operation and maintain system security when equipment fails. However, using corrective control beyond such...
journal article 2022
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Calzolari, Davide (author), Della Santina, C. (author), Albu-Schaffer, Alin (author)
This letter discusses an extension of the famous PD regulator implementing point to point motions with prescribed exponential rates of convergence. This is achieved by deriving a novel global exponential stability result, dealing with mechanical systems evolving on uni-dimensional invariant manifolds of the configuration space. The...
journal article 2021
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Han, Minghao (author), Tian, Yuan (author), Zhang, Lixian (author), Wang, J. (author), Pan, W. (author)
Reinforcement learning (RL) is promising for complicated stochastic nonlinear control problems. Without using a mathematical model, an optimal controller can be learned from data evaluated by certain performance criteria through trial-and-error. However, the data-based learning approach is notorious for not guaranteeing stability, which is...
journal article 2021
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Verdier, C.F. (author)
Control design for modern safety-critical cyber-physical systems still requires significant expert-knowledge, since for general hybrid systems with temporal logic specifications there are no constructive methods. Nevertheless, in recent years multiple approaches have been proposed to automatically synthesize correct-by-construction controllers....
doctoral thesis 2020
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Yuan, S. (author), Zhang, Lixian (author), De Schutter, B.H.K. (author), Baldi, S. (author)
In this paper, a novel Lyapunov function is proposed to study switched linear systems with a switching delay between activation of system modes and activation of candidate controller modes. The novelty consists in continuity of the Lyapunov function at the switching instants and discontinuity when the system modes and controller modes are...
journal article 2018
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Pogromsky, A. (author), Matveev, A. (author), Proskurnikov, A.V. (author), Fridman, E. (author)
The paper is concerned with observation of discrete-time, nonlinear, deterministic, and maybe chaotic systems via communication channels with finite data rates, with a focus on minimum data-rates needed for various types of observability. With the objective of developing tractable techniques to estimate these rates, the paper discloses...
conference paper 2017
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Verdier, C.F. (author), Mazo, M. (author)
This paper presents an automatic controller synthesis method for nonlinear systems with reachability and safety specifications. The proposed method consists of genetic programming in combination with an SMT solver, which are used to synthesize both a control Lyapunov function and the modes of a switched state feedback controller. The...
journal article 2017
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Baldi, S. (author), Valmorbida, Giorgio (author), Papachristodoulou, Antonis (author), Kosmatopoulos, Elias B. (author)
This work proposes an online policy iteration procedure for the synthesis of sub-optimal control laws for uncertain Linear Time Invariant (LTI) Asymptotically Null-Controllable with Bounded Inputs (ANCBI) systems. The proposed policy iteration method relies on: a policy evaluation step with a piecewise quadratic Lyapunov function in both the...
conference paper 2016
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Baldi, S. (author)
This work proposes an iterative procedure for static output feedback of polynomial systems based on Sum-of-Squares optimization. Necessary and sufficient conditions for static output feedback stabilization of polynomial systems are formulated, both for the global and for the local stabilization case. Since the proposed conditions are bilinear...
conference paper 2016
document
Podgaets, A.R. (author), Ockels, W.J. (author)
conference paper 2007
Searched for: subject%3A%22Lyapunov%255C+methods%22
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