𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Linear quadratic optimal control problems via shifted Legendre state parametrization

✍ Scribed by RAZZAGHI, MOHSEN; ELNAGAR, GAMAL N.

Book ID
120310471
Publisher
Taylor and Francis Group
Year
1994
Tongue
English
Weight
182 KB
Volume
25
Category
Article
ISSN
0020-7721

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Optimal control of linearly constrained
Optimal control of linearly constrained linear systems via state parametrization
✍ V. Yen; M. Nagurka πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 634 KB

This paper presents a general computational tool for determining the near-optimal trajectories of linear, lumped parameter, dynamic systems subjected to linear constraints. In the proposed approach each state variable is approximated by the sum of a third-order polynomial and a finite term Fourier-t

A legendre technique for solving time-va
A legendre technique for solving time-varying linear quadratic optimal control problems
✍ Mohsen Razzaghi; Gamal Elnagar πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 521 KB

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

Regularity properties of solutions to li
Regularity properties of solutions to linear quadratic optimal control problems with state constraints
✍ F.H. Clarke; Y. Ledyaev; R.B. Vinter πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 372 KB

We establish regularity properties of solutions of linear quadratic optimal control problems involving state inequality constraints. Under simply stated and directly verifiable hypotheses on the data, it is shown that if the state constraint has index k > 0 then the o ~timal control ~ is k times dif