Abstract
Two state parameterization methods based on finite-term Chebyshev representations are developed to determine the optimal state and control trajectories of unconstrained linear timeinvariant dynamic systems with quadratic performance indices. In one method, each state variable of a dynamic system is approximated by a shifted Chebyshev series. In the second method, each state variable is represented by the superposition of a shifted Chebyshev series and a third order polynomial. In both approaches, the necessary and sufficient condition of optimality is derived as a system of linear algebraic equations. The results of simulation studies demonstrate that the Chebyshev-pluspolynomial method offers computational advantages relative to the direct Chebyshev method, a previous Chebyshev method and a state-transition approach.
Original language | English |
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Pages | 265-270 |
Number of pages | 6 |
DOIs | |
State | Published - 1 Jan 1990 |
Externally published | Yes |
Event | 1990 IEEE International Workshop on Intelligent Motion Control, IMC 1990 - Istanbul, Turkey Duration: 20 Aug 1990 → 22 Aug 1990 |
Conference
Conference | 1990 IEEE International Workshop on Intelligent Motion Control, IMC 1990 |
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Country/Territory | Turkey |
City | Istanbul |
Period | 20/08/90 → 22/08/90 |
ASJC Scopus subject areas
- Mechanical Engineering
- Control and Optimization
- Computer Science Applications
- Artificial Intelligence