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Type: Conference paper
Title: An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints
Author: Teo, K.
Li, B.
Lim, C.
Duan, G.
Citation: Proceedings of the International Conference on Optimization and Control (ICOCO2010), held in Guiyang China, July 18-23, 2010 / H. Xu, X. Yang and W. Wei (eds.): pp.645-652
Publisher: Curtin UT
Publisher Place: CD
Issue Date: 2010
ISBN: 9780646534923
Conference Name: International Conference on Optimization and Control (2010 : Guiyang, China)
Statement of
Kok Lay Teo, Bin Li, Cheng-Chew Lim and Guang-Ren Duan
Abstract: In this paper, we consider an optimal PID control problem subject to continuous state inequality constraints. By applying the constraint transcription method, a local smoothing technique to these continuous state inequality constraint functions, we construct the corresponding smooth approximate functions. Then, by using the concept of the penalty function, these smooth approximate functions are appended to the cost function, forming a new cost function. Then, the constrained optimal PID control problem is approximated by a sequence of unconstrained optimal control problems. Each of which can be viewed and hence solved as an unconstrained nonlinear optimization problem. The gradient formula of the new appended cost function is derived, and a reliable computation algorithm is given.
Keywords: Nonlinear optimal control
Continuous state inequality constraints
Constraint transcription
Local smoothing
Penalty function
PID control
Computational algorithm
Ship steering control
Rights: Copyright status unknown
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Appears in Collections:Aurora harvest 5
Mathematical Sciences publications

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