Solving of the Modified Filter Algebraic Riccati Equation for H-infinity fault detection filtering

[1] Edelmayer, A., Bokor, J., Keviczky, L., “An H_∞ Filtering Approach to Robust Detection of Failures in Dynamical Systems”, in Proc. 33th Annual Decision and Control, Conf., pp. 3037-3039, Buena Vista, USA, 1994.Search in Google Scholar

[2] Edelmayer, A., Bokor, J., Keviczky, L., “An H_∞ Filter Design for Linear Systems: Comparison of two Approaches” IFAC 13^th Triennial World Congress, San Francisco, USA, 1996.10.1016/S1474-6670(17)58701-7Search in Google Scholar

[3] Yaesh, I., Shaked, U., “ Game Theory Approach to Optimal Linear State Estimation and Its Relation to the Minimum H_∞-norm Estimation”, IEEE Trans. Aut. Control, AC-37(6), pp. 828-831, 1992.10.1109/9.256343Search in Google Scholar

[4] Chen, J., Patton, R. J., “Robust Model-Based Fault Diagnosis for Dynamic Systems”, First Edition, Springer Science & Business Media, New York, 1999.10.1007/978-1-4615-5149-2_9Search in Google Scholar

[5] Matusu, R., “Linear Matrix Inequalities and Semidefinite Programming: Applications in Control”, Internal Journal of Mathematical Models and Methods in Applied Sciences, Vol. 8, 2014.Search in Google Scholar

[6] Gahinet, P, Apkarian, P., “A linear matrix inequality approach to H_∞ control”, International Journal of Robust and Nonlinear Control, Vol. 4, pp. 421–448, 1994.10.1002/rnc.4590040403Search in Google Scholar

[7] Iwasaki, T., Skelton, R. E., “All controllers for the general H_∞ control problem: LMI existence conditions and state space formulas”, Automatica, Vol. 30, pp. 1307–1317, 1994.10.1016/0005-1098(94)90110-4Open DOISearch in Google Scholar

[8] Edelmayer A., “Fault detection in dynamic systems: From state estimation to direct input reconstruction”, Universitas-Győr Nonprofit Kft., Győr, 2012.Search in Google Scholar

[9] Chong, E., K., P., Zak, S., H., “An Introduction to Optimization”, 4th Edition, Wiley, New Jersey, 2013.Search in Google Scholar

[10] Ostertag, E., “Mono- and Multivariable Control and Estimation: Linear, Quadratic and LMI Methods”, Matematical Engineering, Vol.2, Springer, Berlin, Heidelberg, 2011.10.1007/978-3-642-13734-1Search in Google Scholar

[11] Ankelhed, D., “On the design of low order H_∞ controllers”, Ph.D. These, Linköping University, Linköping, 2011.Search in Google Scholar

[12] Duan, G., R., Yu, H., H., “LMIs in Control Systems: Analysis, Design and Applications”, CRC Press, Boca Raton, 2013.10.1201/b15060Search in Google Scholar

[13] Boyd, S., Ghaoui, L. E., Feron, E., and Balakrishnan, V., “Linear Matrix Inequalities in System and Control Theory”, SIAM, Philadelphia, 1994.10.1137/1.9781611970777Search in Google Scholar

[14] Bokor, J., Gáspár, P., Szabó, Z., “ Robust Control Theory“, Typotex, Budapest, 2013.Search in Google Scholar

[15] Lunze, J., “Regelungstechnik 2 – Mehrgrößensysteme, Digitale Regelung“, Springer, 7. Auflage, 2013.10.1007/978-3-642-29562-1Search in Google Scholar

[16] Jankovic, M., Kolmanovsky, I., “Robust Nonlinear Controller for Turbocharged Diesel Engines”, Procedings of the American Control Conference, Philadelphia, 1998.10.1109/ACC.1998.707047Search in Google Scholar

[17] Jung, M., “Mean-value modelling and robust control of the airpath of a turbocharged diesel engine”, Ph.D. These, University of Cambridge, 2003.Search in Google Scholar

[18] Horvath, Zs., Edelmayer, A., “LTI-modelling of the Air Path of Turbocharged Diesel Engine for Fault Detection and Isolation”, Mechanical Engineering Letters, Vol. 14, pp. 172-188, Gödöllő, 2016.Search in Google Scholar

[19] Herceg, M., “Nonlinear Model Predictive Control of a Diesel Engine with Exhaust Gas Recirculation and Variable Geometry Turbocharger”, Diploma Thesis, Slovak University of Technology in Bratislava, Bratislava, 2006.Search in Google Scholar

[20] Yung, C. F., “Reduced-order H_∞ controller design: An algebraic Riccati euqation approach”, Automatica, Vol. 36, pp. 923–926, 2000.10.1016/S0005-1098(99)00219-8Open DOISearch in Google Scholar

[21] Lanzon, A., Feng, Y., Anderson, B.,D.,O. and Rotkowitz, M., “ Computing the Positive Stabilizing Solution to Algebraic Riccati Equations With an Indefinite Quadratic Term via a Recursive Method”, IEEE Trans. Aut. Control, Vol. 53, pp. 2280–2291, NO. 10. November, 2008.Search in Google Scholar

[22] https://de.mathworks.com/help/control/ref/care.html?requestedDomain=www.mathworks.comSearch in Google Scholar

[23] Gahinet, P., Nemirovski, A., Laub, A.J., and Chilali, M., “ LMI Control Toolbox for Use with Matlab”, The MathWorks, Natick, Messachusetts, 1995.Search in Google Scholar