Title
Using sliding modes in static optimization and nonlinear programming
Abstract
The paper is concerned with methods for solution of conventional optimization and mathematical programming problems [1-4] using discontinuous control algorithms. Deliberate introduction of sliding modes [5-7] into the system ensures that the output of the plant to be optimized follows the monotonically decreasing reference input, in the case of minimization, and that the constraints on the plant input parameters hold. This approach eliminates the need in hardware to obtain information on the gradients of the function to be optimized or constraining functions. The paper separately treats optimization algorithms without constraints on output parameters and with constraints of the equality and inequality types. The relation of the methods reported in the paper and gradient procedures for solution of mathematical programming problems using a special kind of penalty function is indicated.
Year
DOI
Venue
1974
10.1016/0005-1098(74)90053-3
Automatica (Journal of IFAC)
Keywords
DocType
Volume
mathematical programming problem,optimization algorithm,reference input,output parameter,nonlinear programming,constraining function,plant input parameter,conventional optimization,deliberate introduction,static optimization,discontinuous control algorithm,penalty function
Journal
10
Issue
ISSN
Citations 
5
0005-1098
38
PageRank 
References 
Authors
3.76
0
2
Name
Order
Citations
PageRank
S. K. Korovin1383.76
vadim i utkin230252.14