Lopez-Caamal, Fernando | Universidad de Guanajuato |
Torres Zúñiga, Ixbalank | Universidad de Guanajuato |
https://doi.org/10.58571/CNCA.AMCA.2024.074
Resumen: In this paper we compare two different methodologies for computing the gradient of a linear, continuous-time dynamical system with no parametric uncertainties nor unknown inputs. Such a gradient is computed by performing the partial derivative of a performance function w.r.t. the input of the system. The first of the methodologies uses the model of the dynamical system to construct the gradient; whereas the second one avails of the differentiation of the performance function and the system’s input. We compare both approaches via a numerical simulation.
¿Cómo citar?
Lopez Caamal, F. & Torres, I.(2024). Gradient Estimate for Continuous-Time Linear Dynamical Systems. Memorias del Congreso Nacional de Control Automático 2024, pp. 434-438. https://doi.org/10.58571/CNCA.AMCA.2024.074
Palabras clave
Model-based gradient, Continuous-time estimation, Linear systems
Referencias
- Ariyur, K.B. and Krstic, M. (2003). Real-time optimization by extremum-seeking control. John Wiley & Sons. Dochain, D., Perrier, M., and Guay, M. (2011). Extremum seeking control and its application to process and reaction systems: A survey. Mathematics and Computers in Simulation, 82(3), 369-380.
- Feudjio Letchindjio, C.G., Dewasme, L., Deschenes, J.S., and Vande Wouwer, A. (2019). An extremum seeking strategy based on block-oriented models: Application to biomass productivity maximization in microalgae cultures. Industrial & Engineering Chemistry Research, 58(30), 13481-13494.
- Grant, M. and Boyd, S. (2014). CVX: Matlab software for disciplined convex programming, version 2.1. https://cvxr.com/cvx.
- Guay, M. and Dochain, D. (2017). A proportional-integral extremum-seeking controller design technique. Journal of Process Control, 77, 61-67.
- López-Caamal, F. and Moreno, J.A. (2019). Generalised multivariable supertwisting algorithm. International Journal of Robust and Nonlinear Control, 29(3), 634-660.
- Nocedal, J. and Wright, S. (2000). Numerical optimization. Springer, 2nd. edition edition. Scherer, C. and Weiland, S. (2004). Linear Matrix Inequalities in Control. Delft University of Technology.
- Torres-Zuniga, I., Lopez-Caamal, F., Hernandez-Escoto, H., and Alcaraz-Gonzalez, V. (2021). Extremum seeking control and gradient estimation based on the super-twisting algorithm. Journal of Process Control, 105, 223-235.