Adaptive input-to-state stable synchronization for uncertain time-delay Lur'e systems

2021 ◽  
Author(s):  
Zhi Zhang ◽  
Zhilian Yan ◽  
Jianping Zhou ◽  
Yebin Chen
Keyword(s):  
Time Delay ◽  
Lur’E Systems ◽  
Uncertain Time

scholarly journals Robust Stabilization of Interval Plants with Uncertain Time-Delay Using the Value Set Concept

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 429
Author(s):  
Pedro Zamora ◽  
Alejandro Arceo ◽  
Noé Martínez ◽  
Gerardo Romero ◽  
Luis E. Garza
Keyword(s):  
Time Delay ◽  
Robust Stabilization ◽  
Parametric Uncertainty ◽  
Exclusion Principle ◽  
Control Synthesis ◽  
Classical Orthogonal Polynomials ◽  
Loop Control ◽  
Value Set ◽  
Interval Plants ◽  
Uncertain Time

This paper considers the robust stabilization problem for interval plants with parametric uncertainty and uncertain time-delay based on the value set characterization of closed-loop control systems and the zero exclusion principle. Using Kharitonov’s polynomials, it is possible to establish a sufficient condition to guarantee the robust stability property. This condition allows us to solve the control synthesis problem using conditions similar to those established in the loopshaping technique and to parameterize the controllers using stable polynomials constructed from classical orthogonal polynomials.

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