A Chebyshev technique for solving nonlinear optimal control problems
โ Scribed by Vlassenbroeck, J.; Van Dooren, R.
- Book ID
- 111983215
- Publisher
- IEEE
- Year
- 1988
- Tongue
- English
- Weight
- 770 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0018-9286
- DOI
- 10.1109/9.192187
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๐ SIMILAR VOLUMES
A methodjtir the optimal control of linear time-varying systems with a quadratic cost jitnctional is proposed. The state and control variables are expanded in the shified Legendre series, and an algorithm is provided for approximating the system dynamics, boundary conditions and peyformance index. T
A performance index consisting of a Chebyshev absolute maximum functional plus terminal and integral cost is appl,ied to the optimal control of dynamical systems. First-order necessary conditions are derived for a large class of q&ems. Utilizing the necessary conditions, analytic exa,rnples are wo