A Novel Data-Driven Control Approach for a Class of Discrete-Time Nonlinear Systems

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[!summary] Summary This paper introduces (and contributes to) MFAC. A general SISO nonlinear system is considered as: \(y(k+1)=f(y(k),...,y(k-n_y),u(k),...,u(k-n_u))\) A constant $L$ under the name control input length constant of linearization has been introduced. Under two very simple assumptions (one of them being that the system has to be Lipschitz), an equivalent PFDL description is introduced: \(\Delta y(k+1) = \Phi^T(k) \Delta U(k)\) Parameter $\Phi$ is then estimated online and used for calculating the control input that minimizes a one-step-ahead cost function.

This paper introduces and contributes to MFAC, especially PFDL and CFDL.