scholarly journals Robustness analysis of uncertain time‐varying systems using integral quadratic constraints with time‐varying multipliers

2020 ◽  
Author(s):  
J. Micah Fry ◽  
Dany Abou Jaoude ◽  
Mazen Farhood
Keyword(s):  
Robustness Analysis ◽  
Time Varying ◽  
Quadratic Constraints ◽  
Integral Quadratic Constraints ◽  
Time Varying Systems ◽  
Uncertain Time

Finite-time control of uncertain time-varying systems in p-normal form

2020 ◽  
Author(s):  
Kanya Rattanamongkhonkun ◽  
Radom Pongvuthithum ◽  
Chulin Likasiri
Keyword(s):  
Normal Form ◽  
Finite Time ◽  
Control Law ◽  
Time Varying ◽  
Time Control ◽  
Special Cases ◽  
Time Varying Systems ◽  
A Chain ◽  
Uncertain Time ◽  
Power Integrator

Abstract This paper addresses a finite-time regulation problem for time-varying nonlinear systems in p-normal form. This class of time-varying systems includes a well-known lower-triangular system and a chain of power integrator systems as special cases. No growth condition on time-varying uncertainties is imposed. The control law can guarantee that all closed-loop trajectories are bounded and well defined. Furthermore, all states converge to zero in finite time.

scholarly journals Finite horizon robustness analysis of LTV systems using integral quadratic constraints

Automatica ◽  
2019 ◽  
Vol 100 ◽  
pp. 135-143 ◽  
Author(s):  
Peter Seiler ◽  
Robert M. Moore ◽  
Chris Meissen ◽  
Murat Arcak ◽  
Andrew Packard
Keyword(s):  
Robustness Analysis ◽  
Finite Horizon ◽  
Quadratic Constraints ◽  
Integral Quadratic Constraints

Discrete-Time Robust Control of Linear Periodically Time-Varying Systems

2007 ◽  
Author(s):  
S. Kalender ◽  
H. Flashner
Keyword(s):  
Robust Control ◽  
Discrete Time ◽  
Robustness Analysis ◽  
Value Theory ◽  
Time Varying ◽  
Sampled Data ◽  
Point Mapping ◽  
Time Dynamic ◽  
Time Representation ◽  
Time Varying Systems

An approach for robust control of periodically time-varying systems is proposed. The approach combines the point-mapping formulation and a parameterization of the control vector to formulate an equivalent time-invariant discrete-time representation of the system. The discrete-time representation of the dynamic system allows for the application of known sampled-data control design methodologies. A perturbed, discrete-time dynamic model is formulated and plant parametric uncertainty are obtained using a truncated point-mapping algorithm. The error bounds due to point-mapping approximation are computed and a robustness analysis problem of the system due to parametric uncertainties is formulated using structured singular value theory. The proposed approach is illustrated by two design examples. Simulation studies show good performance robustness of the control system to parameter perturbations and system nonlinearities.

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