Comparison of mdLVs based methods for nonlinear receding horizon control

Receding horizon (RH) control attracts much attention in both the control theory and control applications. For RH control, we have proposed a new computation method for solving simultaneous linear equations by using a Moore-Penrose pseudoinverse and a singular value decomposition (SVD). In our proposed method, SVD is achieved by mdLVs and newly developed simultaneous error correction (SEC) method. However, we did not compare our proposed method with I-SVD that also equips mdLVs. In this paper, we compare our proposed method mdLVs/SEC with I-SVD by theoretical analysis and numerical experiments, and we show SEC needs a much smaller computation cost than I-SVD. Finally, we elucidate advantages of SEC in nonlinear RH control in numerical experiments.