An explicit robust stability condition for uncertain time-varying first-order plus dead-time systems

2021 ◽  
Author(s):  
Saeed Salavati ◽  
Karolos Grigoriadis ◽  
Matthew Franchek
Keyword(s):  
Robust Stability ◽  
Stability Condition ◽  
Dead Time ◽  
Time Varying ◽  
First Order ◽  
Uncertain Time ◽  
Time Systems

scholarly journals Remote-Tuning – Case Study of PI Controller for the First-Order-Plus-Dead-Time Systems

10.5772/19258 ◽  
2011 ◽  
Author(s):  
Dennis Brandao ◽  
Nunzio Torrisi ◽  
Renato F. Fernandes Jr
Keyword(s):  
Dead Time ◽  
Pi Controller ◽  
First Order ◽  
Time Systems

scholarly journals New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Narongsak Yotha ◽  
Kanit Mukdasai
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Model Transformation ◽  
Linear Matrix ◽  
Time Varying ◽  
Interval Time ◽  
Discrete Time Systems ◽  
Delay Dependent ◽  
Parameter Dependent ◽  
Time Systems

This paper investigates the problem of robust stability for linear parameter-dependent (LPD) discrete-time systems with interval time-varying delays. Based on the combination of model transformation, utilization of zero equation, and parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent robust stability conditions are obtained and formulated in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

scholarly journals Analytical Tuning Method of MPC Controllers for MIMO First-Order Plus Fractional Dead Time Systems

Processes ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 212
Author(s):  
Ning He ◽  
Yichun Jiang ◽  
Lile He
Keyword(s):  
Predictive Control ◽  
Closed Loop ◽  
Dead Time ◽  
Pole Placement ◽  
Closed Loop System ◽  
Placement Problem ◽  
First Order ◽  
Tuning Method ◽  
Domain Performance ◽  
Time Systems

An analytical model predictive control (MPC) tuning method for multivariable first-order plus fractional dead time systems is presented in this paper. First, the decoupling condition of the closed-loop system is derived, based on which the considered multivariable MPC tuning problem is simplified to a pole placement problem. Given such a simplification, an analytical tuning method guaranteeing the closed-loop stability as well as pre-specified time-domain performance is developed. Finally, simulation examples are provided to show the effectiveness of the proposed method.

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