scholarly journals Adaptive Output Feedback Control Schemes for Robust Tracking and Model Following of Uncertain Systems with Multiple Time Delays

2005 ◽  
Vol 125 (2) ◽  
pp. 300-307
Author(s):  
Hansheng Wu
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Output Feedback Control ◽  
Multiple Time ◽  
Robust Tracking ◽  
Model Following ◽  
Multiple Time Delays ◽  
Adaptive Output Feedback Control ◽  
Control Schemes ◽  
Tracking And Model Following

scholarly journals Stability and stabilizability of dynamical systems with multiple time-varying delays: delay-dependent criteria

2003 ◽  
Vol 2003 (4) ◽  
pp. 137-152 ◽  
Author(s):  
D. Mehdi ◽  
E. K. Boukas
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
The Stability ◽  
Delay Dependent ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm-bounded uncertainties are considered. Linear matrix inequality (LMIs) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established to check if a system of this class is stable and/or is stabilizable. Some numerical examples are provided to show the usefulness of the proposed results.

scholarly journals LMI Stability Criterion for Uncertain Systems with Multiple Time Delays

2003 ◽  
Vol 46 (3) ◽  
pp. 1108-1111
Author(s):  
Chang-Hua LIEN ◽  
Jenq Der CHEN ◽  
Ker-Wei YU
Keyword(s):  
Stability Criterion ◽  
Time Delays ◽  
Uncertain Systems ◽  
Multiple Time ◽  
Multiple Time Delays

Design of a Linear Controller for Robust Tracking and Model Following

1990 ◽  
Vol 112 (4) ◽  
pp. 552-558 ◽  
Author(s):  
T. H. Hopp ◽  
W. E. Schmitendorf
Keyword(s):  
Uncertain Systems ◽  
Feedforward Control ◽  
Tracking Error ◽  
Control Law ◽  
Time Varying ◽  
Robust Tracking ◽  
Matching Conditions ◽  
Nonlinear Controllers ◽  
Model Following ◽  
Tracking And Model Following

We consider a class of linear systems in which there is time-varying uncertainty. These linear uncertain systems can be divided into two types. Systems in which the structure of the uncertainty satisfies certain matching conditions are called matched, and those systems in which the uncertainty does not satisfy the matching conditions are called mismatched. A linear control law is determined which produces tracking of dynamic inputs. The tracking error does not asymptotically decrease to zero because the systems are uncertain, instead the error is bounded. In the case of matched systems this error bound can be made arbitrarily small, and the system is said to practically track the input. In mismatched systems, the tracking error cannot be made arbitrarily small, and the system is said to ε-track the input. Previously published theory requires nonlinear controllers for practical tracking. Here, we derive a linear feedforward control law. Several examples illustrate the results.

Dynamic Output-Feedback Control for Chemical Stirred Tank Reactor System with Multiple Time-Delays: A Lyapunov–Krasovskii Functional Approach

2019 ◽  
Vol 17 (03) ◽  
pp. 1850138 ◽  
Author(s):  
Wei Zheng ◽  
Hongbin Wang ◽  
Zhiming Zhang ◽  
Shuhuan Wen ◽  
Yueling Wang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Time Delays ◽  
Output Feedback Control ◽  
Stirred Tank ◽  
Multiple Time ◽  
Dynamic Output Feedback ◽  
Tank Reactor ◽  
Multiple Time Delays ◽  
Dynamic Output

This paper addresses the dynamic output feedback control problem for a class of nonlinear multiple time-delays system. First, the system is decomposed into two subsystems based on the input matrix and output matrix. Second, a dynamic compensator is employed for the first subsystem, and then the output feedback controller is designed based on the second subsystem and compensator. With a new Lyapunov–Krasovskii functional, we show that the closed-loop time-delays system is stable and the designed controller make the solutions of the system convergent to an adjustable bounded region. Compared with the previous works, the proposed dynamic output feedback technique is more flexible and the required conditions on the considered systems are less conservative. Finally, the simulations for a discrete-time chemical stirred tank reactor case are performed to verify the effectiveness of the method.

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