Predictive ADRC Control Using LMI

  • Hanna Khalil Aboukheir Hernandez Univ. Nac. Exp. Rafael María Baralt
Keywords: State Estimation, Linear Matrix Inequalities, Process Control, Digital Control, Kalman Filtering


On recent times Active Disturbance Rejection Control has drawn both the attention of industrial and scientific community due to its capability to handle uncertainties and nonlinearities without using an explicit model of the system; on this paper a modification of the ADRC algorithm is presented, first an Extended State Predictor is calculated and later, a controller is built using the LMI approach, the proposal is evaluated through simulations on the Cayley-Rodriguez representation of the Monoaxial satellite


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A, Stoorvorgel. A, Saberi.(1998). “The Discrete Algebraic Ricatti Equation and Linear Matrix Inequalities”. Linear Algebra and Its Applications 274:317-365.
B, Alexander. R, Rarick. L, Dong. (2008). “A novel application of an extended State Observer for High Performance control of NASA’s HSS Flywheel and Fault Detection” Proceeding American Control Conference 2008, Seattle, Washington, EUA.
D, Xue. Y, Chen.(2009). Solving applied mathematical problems with Matlab CRC Press.
E, Kaszkurewicz. A, Bhaya. (2006). Matrix Diagonal Stability in Systems and Computation, Birkhauser.
G Hermann.(2006). "Linear Matrix Inequalities in Control", Lecture Notes, Leicester University.
H, Sira Ramires. R, Marquez. F, Rivas. O, Llanes. (2005). Control de Sistemas Nolineales, Pearson
J, Jantzen. (1998) “Tunning of Fuzzy PID controllers” Technical University of Denmark, Department of Automation, Bldg 326, DK-2800 Lyngby, Denmark. Tech. report no 98-H 871 (fpid).
K, Astrom. B, Wittenmark.(1998). Computer Controlled System: Theory and Design, Prentice Hall.
M Oishi.(2008). "Global quadratic lyapunov function", Lecture Notes, University of British Columbia.
P Teppa. (2012). "Notas en control por desigualdades lineales matriciales", Universidad Simón Bolívar.
P, Teppa. M, Bravo. G, Garcia. (2012). "Control por rechazo activo de perturbaciones del nivel de líquido de un sistema de tanques acoplado" Revista Faraute de Ciencia y Tecnología, Vol 7, No 1,10-18.
Q, Zheng. Z, Gao.(2010). “On Practical Aplications of Active Disturbance Rejection Control”. Proceedings of the 29th Chinese Control Conference, Beijing. China.
Q, Zheng.(2009). ”On Active Disturbance Rejection Control Stability Analysis and aplications in disturbance decoupling control”. Phd Thesis, Cleveland State University.
R Andymar.(2006). "Uso de GNU Octave para simulacion de sistemas Nolineales", Tesis de Grado ULA.
R, Miklosovic. Z,Gao.(2006). "Discrete Implementation and generalization of the extended State Observer", Proceeding American Control Conference 2006, Minneapolis, Mn, EUA.
R, Tanaka. T, Murakami. Y, Ishida.(2015) “Model Matching Control Based on Discrete time improved ADRC considering plant input disturbances”. 2015 Third International Conferences on Artificial Intelligence, Modelling and Simulation. Kota Kinabalu, Sabah, Malaysia.
T, Alamo Cantarero.(2012). “Minicurso LMI”, Lecture Notes, UNED.
Z, Gao.(2006). "Active Disturbance rejection Control a paradigm Shift in System Control Design" Proceeding American Control Conference 2006, Minneapolis, Mn, EUA.
How to Cite
Aboukheir Hernandez, H. K. (2018). Predictive ADRC Control Using LMI. Enfoque UTE, 9(4), pp. 24 - 32.
Automation and Control, Mechatronics, Electromechanics, Automotive