Robust Tracking by Using Measure Theory
Subject Areas : electrical and computer engineering
A.
Zare
1
(دانشگاه آزاد اسلامی، واحد گناباد)
A.
Khaki-Sedigh
2
A.
Vahidian
3
Keywords: Measure theoryoptimum controllinear programmingrobust controlrobust tracking,
Abstract :
This paper presents two new approaches for robust step tracking in structure uncertain nonlinear systems. The problem is first restated as a non linear optimal control infinite horizon problem, then with a suitable change of variable, the time interval is transfer to the finite horizon [0 1). This change of variable, poses a time varying problem. This problem is then transfer to measure space, and it is shown that an optimal measure must be determined which is equivalent to a linear programming problem with infinite dimension. Then, using finite horizon approximations, the optimal control law is determined as a piece wise constant function. Simulations are provided to show the effectiveness of the proposed methodology
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