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A Symbolic Computation Approach to Parameterizing Controller for Polynomial Hamiltonian Systems
- Source :
- Mathematical Problems in Engineering, Vol 2014 (2014)
- Publication Year :
- 2014
- Publisher :
- Hindawi Limited, 2014.
-
Abstract
- This paper considers controller parameterization method ofH∞control for polynomial Hamiltonian systems (PHSs), which involves internal stability and external disturbance attenuation. The aims of this paper are to design a controller with parameters to insure that the systems areH∞stable and propose an algorithm for solving parameters of the controller with symbolic computation. The proposed parameterization method avoids solving Hamilton-Jacobi-Isaacs equations, and thus the obtained controllers with parameters are relatively simple in form and easy in operation. Simulation with a numerical example shows that the controller is effective as it can optimizeH∞control by adjusting parameters. All these results are expected to be of use in the study ofH∞control for nonlinear systems with perturbations.
- Subjects :
- Polynomial
Article Subject
lcsh:Mathematics
General Mathematics
Attenuation
General Engineering
lcsh:QA1-939
Symbolic computation
Stability (probability)
Hamiltonian system
Nonlinear system
lcsh:TA1-2040
Control theory
Simple (abstract algebra)
lcsh:Engineering (General). Civil engineering (General)
Mathematics
Subjects
Details
- ISSN :
- 15635147 and 1024123X
- Volume :
- 2014
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....f3251414c5916351378143b2b69bfe7d