A method of constructing a Chebyshev approximation multivariable functions by generalized polynomial with the exact reproduction its values at given points is proposed. It based on sequential construction mean-power approximations, taking into account interpolation condition. The calculated using an iterative scheme least squares variable weight function. An algorithm for calculating parameters...

In this paper we propose the use of a technique based on Chebyshev polynomials approximation for determining the minimum-time rest-to-rest openloop control law for multi-input multi-output (MIMO) continuous-time systems with input and output constraints. The optimal input can be determined, without discretising the system, by suitably approximating the state variables and the input signals by m...