Stability Analysis of Linear Models of Connected Cruise Control Systems via a Delay Lyapunov Matrix-Based Criterion
DOI:
https://doi.org/10.61467/2007.1558.2027.v18i1.1495Keywords:
Connected Cruise Control, Connected Vehicle Systems, Time-delay systems, delay Lyapunov matrix, Finite stability criterion, Lyapunov–Krasovskii functional, sistemas de vehículos conectados, sistemas con retardo temporal, matriz de Lyapunov con retardo, funcional de Lyapunov–KrasovskiiAbstract
The stability analysis of Connected Cruise Control systems with communication delays requires stability criteria that provide finite necessary and sufficient conditions. This paper presents the first application of a finite stability criterion based on the delay Lyapunov matrix to linear Connected Cruise Control models. The proposed analysis combines the semianalytical computation of the delay Lyapunov matrix with a finite-dimensional verification criterion to reconstruct previously reported stability regions through a finite number of operations. Moreover, the minimum discretization level is introduced as a new characterization of the controller parameter space, providing additional information on the computational effort required for finite stability verification. Finally, controller gains selected from the certified stability regions are implemented on a connected vehicle platform, demonstrating the practical feasibility of the resulting controller under the operating conditions considered. This work establishes a practical link between recent advances in finite stability criteria for time-delay systems and the analysis of Connected Cruise Control.
Spanish-language metadata / Metadatos en español
Título en español:
Análisis de estabilidad de modelos lineales de sistemas de control de crucero conectado mediante un criterio basado en la matriz de Lyapunov con retardo
Resumen:
El análisis de estabilidad de los sistemas de control de crucero conectado con retardos de comunicación requiere criterios de estabilidad que proporcionen condiciones necesarias y suficientes de carácter finito. Este artículo presenta la primera aplicación de un criterio de estabilidad finito basado en la matriz de Lyapunov con retardo a modelos lineales de control de crucero conectado.
El análisis propuesto combina el cálculo semianalítico de la matriz de Lyapunov con retardo con un criterio de verificación de dimensión finita para reconstruir regiones de estabilidad previamente reportadas mediante un número finito de operaciones. Además, se introduce el nivel mínimo de discretización como una nueva caracterización del espacio de parámetros del controlador, lo que proporciona información adicional sobre el esfuerzo computacional requerido para la verificación finita de la estabilidad.
Finalmente, las ganancias del controlador seleccionadas a partir de las regiones de estabilidad certificadas se implementan en una plataforma de vehículo conectado, demostrando la viabilidad práctica del controlador resultante bajo las condiciones de operación consideradas. Este trabajo establece un vínculo práctico entre los avances recientes en criterios de estabilidad finitos para sistemas con retardo temporal y el análisis del control de crucero conectado.
Palabras Claves:
Control de crucero conectado, sistemas de vehículos conectados, sistemas con retardo temporal, matriz de Lyapunov con retardo, criterio de estabilidad finito, funcional de Lyapunov–Krasovskii.
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