Optimal control (quadratic performance) for linear two-dimensional systems

2003 ◽  
Author(s):  
M. Rostan ◽  
E.B. Lee
Keyword(s):  
Optimal Control ◽  
Two Dimensional ◽  
Quadratic Performance

scholarly journals Applied Optimization and Approximation

2014 ◽  
Vol 3 (4) ◽  
pp. 37-48
Author(s):  
Octav Olteanu
Keyword(s):  
Optimal Control ◽  
Cost Function ◽  
Linear Function ◽  
Polynomial Approximation ◽  
Moment Problem ◽  
Quadratic Forms ◽  
Two Dimensional ◽  
Several Variables ◽  
Applied Optimization ◽  
The Moment

The present work deals with optimization in kinematics, generalizing previous results of the author. A second theme is maximizing the constrained gain linear function and minimizing the constrained cost function. Elementary notions of optimal control are considered as well. Finally, polynomial approximation results on unbounded subsets in several variables are applied to the moment problem. The existence of the solution of a two dimensional moment problem is characterized in terms of quadratic forms.

Quadratic Performance Indices and Optimum Suspension Design

1973 ◽  
Vol 187 (1) ◽  
pp. 129-139 ◽  
Author(s):  
A. G. Thompson
Keyword(s):  
Computer Simulation ◽  
Time Delay ◽  
Ride Quality ◽  
Two Dimensional ◽  
Forward Speed ◽  
Performance Indices ◽  
Coupling Ratio ◽  
Vehicle Model ◽  
Varying Length ◽  
Quadratic Performance

This paper presents some results obtained from the computer simulation of a two-dimensional linear vehicle model with coupled bounce and pitch modes. The effects of variations in the ratio of front to rear spring stiffnesses and the inertia coupling ratio on various performance indices for ride quality and road holding were investigated. Two forms of input to the system were considered, ( a) isolated smooth bumps of varying length and ( b) continuous random type excitations. Allowance was made for the time delay between the inputs at the front and rear wheels due to the forward speed of the vehicle.

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