Near optimal state feedback design for singularly perturbed systems by unified approach with an aircraft application

2002 ◽  
Author(s):  
K.-H. Shim ◽  
M.E. Sawan
Keyword(s):  
State Feedback ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Unified Approach ◽  
Optimal State ◽  
Feedback Design ◽  
Perturbed Systems ◽  
Optimal State Feedback ◽  
Aircraft Application

scholarly journals Fast Sampling Control of Singularly Perturbed Systems with Actuator Saturation andL2Disturbance

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Yanzi Miao ◽  
Lei Ma ◽  
Xiaoping Ma ◽  
Linna Zhou
Keyword(s):  
Disturbance Rejection ◽  
State Feedback ◽  
Actuator Saturation ◽  
Optimization Problems ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Convex Optimization Problems ◽  
Perturbed Systems ◽  
Disturbance Tolerance

We will consider the problem of fast sampling control for singularly perturbed systems subject to actuator saturation andL2disturbance. A sufficient condition for the existence of a state feedback controller is proposed. Under this controller, the boundedness of the trajectories in the presence ofL2disturbances is guaranteed for any singular perturbation parameter less than or equal to a predefined upper bound. To improve the capacity of disturbance tolerance and disturbance rejection, two convex optimization problems are formulated. Finally, a numerical example is presented to demonstrate the effectiveness of the main results of this paper.

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