Data-Driven Model-Free Adaptive Control for a Class of MIMO Nonlinear Discrete-Time Systems

#AdaptiveControl #MFAC #IEEE #IEEE2011 #IEEEControlSystemsTechnology #MIMO

[!summary] Summary This paper introduces (and contributes to) MFAC. A general MIMO nonlinear system is considered as: \(y(k+1)=f(y(k),...,y(k-n_y),u(k),...,u(k-n_u))\) Note that the length of the input and the output have to be the same ($p$). A constant $L$ under the name control input length constant of linearization has been introduced. Under several simple assumptions, an equivalent PFDL description is introduced: \(\Delta y(k+1) = \bar{\Phi}^T(k) \bar{\Delta U(k)}\) 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.