Some Results on the Properties of Discrete-Time LTI State-Space Systems

被引:0
作者
Kadam, Sujay D. [1 ]
Palanthandalam-Madapusi, Harish J. [2 ]
机构
[1] Electronics and VLSI, Mathematics, DA-IICT Gandhinagar, Near Reliance Crossroad, Gujarat, Gandhinagar
[2] Mechanical Engineering, IIT Gandhinagar, Gujarat, Gandhinagar
来源
ASME Letters in Dynamic Systems and Control | 2024年 / 4卷 / 03期
关键词
linear systems;
D O I
10.1115/1.4065590
中图分类号
学科分类号
摘要
This work brings forward several interesting facts about system properties of linear time-invariant discrete-time systems like output controllability, state controllability and state observability, trackability, and input and state observability. Particularly, the work brings about the inter-relationships between these properties while taking a state-space formulation-based approach to come up with simple facts that are backed up by proofs using preliminary linear algebra. © 2024 by ASME.
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共 15 条
[1]  
Palanthandalam-Madapusi H. J., Bernstein D. S., Unbiased Minimum-Variance Filtering for Input Reconstruction, American Control Conference, pp. 5712-5717, (2007)
[2]  
Kadam S. D., Palanthandalam-Madapusi H. J., Trackability for Discrete-Time Linear Time-Invariant Systems: a Brief Review and New Insights, ASME J. Dyn. Syst. Meas. Control, 144, 3, (2022)
[3]  
Kadam S. D., Palanthandalam-Madapusi H. J., Revisiting Trackability for Linear Time-Invariant Systems, American Control Conference, pp. 1728-1733, (2017)
[4]  
Sain M., Massey J., Invertibility of Linear Time-Invariant Dynamical Systems, IEEE Trans. Autom. Contr, 14, 2, pp. 141-149, (1969)
[5]  
Dorato P., On the Inverse of Linear Dynamical Systems, IEEE Trans. Syst. Sci. Cybernet, 5, 1, pp. 43-48, (1969)
[6]  
Zou Q., Devasia S., Preview-Based Stable-Inversion for Output Tracking of Linear Systems, ASME J. Dyn. Syst. Meas. Control, 121, 4, pp. 625-630, (1999)
[7]  
Nijmeijer H., Right-Invertibility for a Class of Nonlinear Control Systems: A Geometric Approach, Syst. Control Lett, 7, 2, pp. 125-132, (1986)
[8]  
Marro G., Prattichizzo D., Zattoni E., Convolution Profiles for Right Inversion of Multivariable Non-minimum Phase Discrete-Time Systems, Automatica, 38, 10, pp. 1695-1703, (2002)
[9]  
Hou M., Patton R. J., Input Observability and Input Reconstruction, Automatica, 34, 6, pp. 789-794, (1998)
[10]  
Estrada M. B., Garcia M. F., Malabre M., Garcia J. C. M., Left Invertibility and Duality for Linear Systems, Linear Algebra Appl, 425, 2–3, pp. 345-373, (2007)