Adaptive multiple model control for a class of nonlinear discrete time systems: second-level adaption design approach

Abstract

In this study, a multiple model control scheme based on a second-level adaption design approach is established for a class of nonlinear discrete time systems. The nonlinear function of systems is relaxed to zero-order bounded. In the first-level adaption, N identification models are employed to estimate unknown parameters, which can weaken the effect of unknown parameters. The convex hull property based on all identification models is constructed, which ensures that the convex hull identified parameters converge to the real value rapidly. Compared with the existing multiple model controller, the actual controller is developed by a convex hull for the identification of unknown parameters and it can avoid some potential drawbacks of the switch mechanism. In the constructed scheme, the discrete time system is bounded input bounded output (BIBO) and the tracking error is bounded. Finally, a simulation example is presented to validate the proposed scheme.

Keywords:

• Adaptive control
• multiple model set
• second-level adaption
• discrete time
• nonlinear systems

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Key R and D Program of China [2018YFB1701103], National Natural Science Foundation of China [61890930-3], National Natural Science Fund for Distinguished Young Scholars [61725301] and International (Regional) Cooperation and Exchange Project [61720106008].