State Analysis and Optimal Control of Linear Time-Invariant Scale Systems Using the Legendre Wavelets
نویسندگان
چکیده
A new approach to find the approximate solution and the optimal control of linear time-invariant scaled systems using the Legendre wavelets is proposed. The operational matrix of stretch is derived and together with the operational matrix of integration have been used to change the system of state equations into a set of algebraic equations which can be solved using a digital computer. The approximated optimal solution with respect to a quadratic cost function is calculated by solving only these linear algebraic equations. The main feature of this article over other possible works is that with a relatively low number of terms we have accurate results. Numerical examples are given to support this claim.
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