Distributed sliding mode control in systems described by quasilinear partial differential equations

1989 ◽  
Vol 13 (2) ◽  
pp. 177-181 ◽  
Author(s):  
Hebertt Sira-Ramirez
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Partial Differential ◽  
Mode Control ◽  
Quasilinear Partial Differential Equations

Ground States and Singular Ground States for Quasilinear Partial Differential Equations with Critical Exponent in the Perturbative Case

2004 ◽  
Vol 4 (1) ◽  
Author(s):  
Matteo Franca ◽  
Russell Johnson
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Exponential Dichotomy ◽  
Invariant Manifolds ◽  
Ground States ◽  
Elliptic Partial Differential Equations ◽  
Partial Differential ◽  
Quasilinear Partial Differential Equations ◽  
Melnikov Functions ◽  
The Family

AbstractWe study the structure of the family of radially symmetric ground states and singular ground states for certain elliptic partial differential equations with p- Laplacian. We use methods of Dynamical systems such as Melnikov functions, invariant manifolds, and exponential dichotomy.

Study of Modified Sliding Mode Control Strategy for STATCOM with LCL Filter

2011 ◽  
Vol 383-390 ◽  
pp. 543-547
Author(s):  
Rui Hou ◽  
Cai Ping Li
Keyword(s):  
System Theory ◽  
Differential Equations ◽  
Sliding Mode Control ◽  
Control Strategy ◽  
Sliding Mode ◽  
Pi Controller ◽  
Lcl Filter ◽  
Mode Control ◽  
Simulation Results

This paper studies the control strategy of STATCOM with LCL filter. The STATCOM sixth orders differential equations in dq coordinate separate to two parts. Invert system theory deals with their uncoupling and nonlinearity. Then the sliding mode control strategy is used to the differential equations. Finally simulation results show validity and effectiveness of the design by comparing with PI controller.

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