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    An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints

    153369_29434_Teo_Li_Lim_Duan ICOCO.pdf (105.7Kb)
    Access Status
    Open access
    Authors
    Teo, Kok Lay
    Li, Bin
    Lim, Cheng-chew
    Duan, G
    Date
    2010
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Teo, Kok Lay and Li, Bin and Lim, Cheng-Chew and Duan, Guang-Ren. 2010. An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints, in Xu, H. and Yang, X. and Wei, W. (ed), The International Conference on Optimization and Control 2010, Jul 18-23 2010, pp. 645-652. Guiyang, China: Guiyang University.
    Source Title
    Proceedings of the International Conference on Optimization and Control 2010
    Source Conference
    the International Conference on Optimization and Control 2010
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/4077
    Collection
    • Curtin Research Publications
    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.

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