Numerical solutions of optimal control for linear time-varying systems with delays via hybrid functions. (English) Zbl 1120.49030
Summary: By applying hybrid functions of general block-pulse functions and Legendre polynomials, the linear-quadratic problem of linear time-varying systems with delays are transformed into the optimization problem of multivariate functions. The approximate solutions of the optimal control and state as well as the optimal value of the objective functional are derived. The numerical examples illustrate that the algorithms are valid.
MSC:
| 49N10 | Linear-quadratic optimal control problems |
| 93C05 | Linear systems in control theory |
| 93C55 | Discrete-time control/observation systems |
| 49M25 | Discrete approximations in optimal control |
| 65R20 | Numerical methods for integral equations |
Keywords:
General block-pulse functions; Legendre polynomials; Linear time-varying systems with delays; Optimal controlReferences:
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