A Discrete-Time Sliding Mode Controller for Time-Delay Linear Time-Invariant Systems with Uncertainty

2013 ◽  
Author(s):  
Raj Kumar ◽  
Shalabh Agarwal ◽  
Vishal Goyal ◽  
Vinay Kumar Deolia
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Sliding Mode ◽  
Linear Time ◽  
Sliding Mode Controller ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Time Invariant

Deterministic Continuous-Time Signals and Systems

2021 ◽  
pp. 562-598
Author(s):  
Stevan Berber
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Linear Time ◽  
Continuous Variable ◽  
Linear Time Invariant ◽  
Time Signals ◽  
Analysis And Synthesis ◽  
Linear Time Invariant Systems ◽  
Definition Of ◽  
Time Invariant

Due to the importance of the concept of independent variable modification, the definition of linear-time-invariant system, and their implications for discrete-time signal processing, Chapter 11 presents basic deterministic continuous-time signals and systems. These signals, expressed in the form of functions and functionals such as the Dirac delta function, are used throughout the book for deterministic and stochastic signal analysis, in both the continuous-time and the discrete-time domains. The definition of the autocorrelation function, and an explanation of the convolution procedure in linear-time-invariant systems, are presented in detail, due to their importance in communication systems analysis and synthesis. A linear modification of the independent continuous variable is presented for specific cases, like time shift, time reversal, and time and amplitude scaling.

scholarly journals Consensus Problem for Linear Time-Invariant Systems with Time-Delay

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
V. Fragoso-Rubio ◽  
M. Velasco-Villa ◽  
M. A. Vallejo-Alarcón ◽  
J. A. Vásquez-Santacruz ◽  
M. A. Hernández-Pérez
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Consensus Problem ◽  
Consensus Protocol ◽  
Linear Time Invariant ◽  
Future State ◽  
System Input ◽  
Future Value ◽  
Linear Time Invariant Systems ◽  
Time Invariant

This work deals with the consensus problem of networks of agents with linear time-invariant dynamics and input time-delay. A predictor-observer scheme that estimates the future value of the system state is considered. The partitioned nature of the predictor allows dealing with larger time-delays than those reported in the literature. The estimated future state of the system is later used in the consensus protocol with the aim of compensating the system input delay. The effectiveness of the solution is shown by means of numerical evaluations.

scholarly journals Interval Estimation Methods for Discrete-Time Linear Time-Invariant Systems

2019 ◽  
Vol 64 (11) ◽  
pp. 4717-4724 ◽  
Author(s):  
Wentao Tang ◽  
Zhenhua Wang ◽  
Ye Wang ◽  
Tarek Raissi ◽  
Yi Shen
Keyword(s):  
Discrete Time ◽  
Linear Time ◽  
Interval Estimation ◽  
Estimation Methods ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Time Invariant ◽  
Time Linear

Deterministic Discrete-Time Signals and Systems

2021 ◽  
pp. 690-713
Author(s):  
Stevan Berber
Keyword(s):  
Discrete Time ◽  
Communication Systems ◽  
Linear Time ◽  
Linear Time Invariant ◽  
Discrete Signals ◽  
Time Signals ◽  
Analysis And Synthesis ◽  
Linear Time Invariant Systems ◽  
Definition Of ◽  
Time Invariant

Due to the importance of the concept of independent discrete variable modification and the definition of discrete linear-time-invariant systems, Chapter 14 presents and discusses basic deterministic discrete-time signals and systems. These discrete signals, which are expressed in the form of functions, including the Kronecker delta function and the discrete rectangular pulse, are used throughout the book for deterministic discrete signal analysis. The chapter also presents the definition of the autocorrelation function and the explanation of the convolution procedure in linear-time-invariant systems for discrete-time signals in detail, due to the importance of these in the analysis and synthesis of discrete communication systems.

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