Abstract
In the paper the perfect control for multi-input/multi-output fractional-order discrete-time systems in state space is introduced. A simulation example for nonsquare MIMO system in Matlab/Simulink environment confirms the correctness of the proposed algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hunek, W.P.: Pole-free versus stable-pole designs of minimum variance control for nonsquare LTI MIMO systems. Bull. Pol. Acad. Sci.âTech. Sci. 59(2), 201â211 (2011). doi:10.2478/v10175-011-0025-y
Hunek, W.P.: Towards a General Theory of Control Zeros for LTI MIMO Systems. Opole University of Technology Press, Opole (2011)
Hunek, W.P., Dzierwa, P.: New results in generalized minimum variance control of computer networks. Inf. Technol. Control. 43(3), 315â320 (2014). doi:10.5755/j01.itc.43.3.6268
Hunek, W.P., Latawiec, K.J.: Minimum variance control of discrete-time and continuous-time LTI MIMO systemsâa new unified framework. Control. Cybern. 38(3), 609â624 (2009)
Hunek, W.P., Latawiec, K.J.: A study on new right/left inverses of nonsquare polynomial matrices. Int. J. Appl. Math. Comput. Sci. 21(2), 331â348 (2011). doi:10.2478/v10006-011-0025-y
Hunek, W.P., Latawiec, K.J., Majewski, P., Dzierwa, P.: An application of a new matrix inverse in stabilizing state-space perfect control of nonsquare LTI MIMO systems. In: Proceedings of the 19th IEEE International Conference on Methods and Models in Automation and Robotics (MMARâ2014), pp. 451â455. MiÈ©dzyzdroje, Poland (2014), IEEE Catalog Number: CFP13MMA-CDR
Latawiec, K.J.: The Power of Inverse Systems in Linear and Nonlinear Modeling and Control. Opole University of Technology Press, Opole (2004)
Latawiec, K.J.: Control zeros and maximum-accuracy/maximum-speed control of LTI MIMO discrete-time systems. Control. Cybern. 34(2), 453â475 (2005)
Sierociuk, D.: Estimation and control of discrete fractional order state space systems (in Polish). Ph.D. thesis, Warsaw University of Technology, Warsaw, Poland (2007)
StanisĆawki, R., Latawiec, K.J.: Normalized finite fractional differences: computational and accuracy breakthroughs. Int. J. Appl. Math. Comput. Sci. 22(4), 907â919 (2012). doi:10.2478/v10006-012-0067-9
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Wach, Ć., Hunek, W.P. (2016). Perfect Control for Fractional-Order Multivariable Discrete-Time Systems. In: Domek, S., Dworak, P. (eds) Theoretical Developments and Applications of Non-Integer Order Systems. Lecture Notes in Electrical Engineering, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-23039-9_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-23039-9_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23038-2
Online ISBN: 978-3-319-23039-9
eBook Packages: EngineeringEngineering (R0)