Results 101 to 110 of about 108,486 (247)

Stabilization of nonlinear safety-critical systems by relaxed converse Lyapunov-barrier approach and its applications in robotic systems

Autonomous Intelligent Systems
Combining safety objectives with stability objectives is crucial for safety-critical systems. Existing studies generally unified these two objectives by constructing Lyapunov-type barrier functions. However, insufficient analysis of key set relationships
Haoqi Li, Jiangping Hu, Xiaoming Hu, Bijoy K. Ghosh   +3 more
doaj   +1 more source

Lyapunov Function based Criteria for Ship Rolling in Random Beam Seas

Polish Maritime Research, 2019
The aim of this study is to present a Lyapunov function which can be used to derive an intact stability criterion for a ship in random beam seas. First, the mathematical model of the rolling motion of ships in random beam seas is introduced.
Üçer Erdem
doaj   +1 more source

Recursive Feasibility of Nonlinear Stochastic Model Predictive Control With Gaussian Process Dynamics

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf, Andreas Völz, Knut Graichen   +2 more
wiley   +1 more source

Periodic Scenario Trees: A Novel Framework for Robust Periodic Invariance and Stabilization of Constrained Uncertain Linear Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam, Sankaranarayanan Subramanian, Sebastian Engell   +2 more
wiley   +1 more source

Adaptive Sliding Mode Control Design for Interval Type‐2 T–S Fuzzy Systems With Time Delay: An Event‐Triggered Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this work, a new event‐triggered adaptive first‐order sliding mode control method is proposed for nonlinear systems with constant time delays, modeled by interval type‐2 Takagi–Sugeno (T–S) fuzzy systems. To handle matched disturbances with unknown upper bounds, a non‐overestimating adaptation strategy for the control coefficient is ...
Rodrigo Possidonio Noronha, Ginalber L. O. Serra   +1 more
wiley   +1 more source

Lyapunov Theorems for Systems Described by Retarded Functional Differential Equations

, 2005
Lyapunov-like characterizations for non-uniform in time and uniform robust global asymptotic stability of uncertain systems described by retarded functional differential equations are ...
Karafyllis, Iasson
core  

Sliding Mode Control in Aerospace Applications: A Survey

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source

Safe Stabilization Using Non‐Smooth Control Lyapunov Barrier Function

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the challenge of safe stabilization, ensuring the system state reaches the origin while avoiding unsafe state regions. Existing approaches that rely on smooth Lyapunov barrier functions often fail to guarantee a feasible controller. To overcome this limitation, we introduce the non‐smooth control Lyapunov barrier function (
Jianglin Lan, Eldert van Henten, Peter Groot Koerkamp, Congcong Sun   +3 more
wiley   +1 more source

Evolutionary Search for Polynomial Lyapunov Functions: A Genetic Programming Method for Exponential Stability Certification

Axioms
This paper presents a method for constructing polynomial Lyapunov functions to analyze the stability of nonlinear dynamical systems. The approach is based on genetic programming, a variant of genetic algorithms where the search space consists of ...
Roman Pykhnivskyi, Anton Ryzhov, Andrii Sobchuk, Yurii Kravchenko   +3 more
doaj   +1 more source

Measured‐State Conditioned Recursive Feasibility for Stochastic Model Predictive Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we address the problem of designing stochastic model predictive control (SMPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is rooted in a measured‐state initialization strategy. First, due to the nonzero probability of violating chance‐constraints in the case of unbounded noise ...
Mirko Fiacchini, Martina Mammarella, Fabrizio Dabbene   +2 more
wiley   +1 more source