Fuzzy modeling and optimal control of nonlinear second order systems

2005 ◽  
Author(s):  
P.P. Mohanlal ◽  
M.R. Kaimal
Keyword(s):  
Optimal Control ◽  
Fuzzy Modeling ◽  
Second Order ◽  
Second Order Systems

Augmented Controllable Region of Unstable Second Order Systems With Impulsive Actions

2009 ◽  
Vol 131 (5) ◽  
Author(s):  
Wookjin Sung ◽  
Jiecai Luo ◽  
Kwanho You
Keyword(s):  
Optimal Control ◽  
Model Uncertainty ◽  
Second Order ◽  
Control Input ◽  
Impulsive Action ◽  
Mixed Control ◽  
Collaborative Control ◽  
Control Actions ◽  
Simulation Results ◽  
Second Order Systems

In this paper, we suggest how to enlarge the maximum controllable region for unstable linear systems with mixed control actions. Using the impulsive action as an alternating control input, it is shown how the collaborative control inputs (bang-bang and impulsive action) work to augment the controllable region of unstable second order systems. However, the weakness resides in the sensitivity to model uncertainty and the time-consuming work to construct the switch curves (bang-bang switch curve and impulse firing curve). We suggest an efficient way to approximate the switch curves. It overcomes the shortcomings from the use of original switch curves, which are constructed through time backward computation. Simulation results show how the approximate switch curves can be used to determine the optimal control values for an augmented maximum controllable region.

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