Nonlinear Control of Bioprocess Using Feedback Linearization, Backstepping, and Luenberger Observers

Muhammad Rizwan S. Khan^1*, Robert N. K. Loh^1*

¹Department of Electrical and Computer Engineering, Oakland University, Rochester, Michigan, USA.

DOI: 10.4236/ijmnta.2014.34017                

Abstract

This paper addresses the analysis, design, and application of observer-based nonlinear controls by combining feedback linearization (FBL) and backstepping (BS) techniques with Luenberger observers. Complete development of observer-based controls is presented for a bioprocess. Controllers using input-output feedback linearization and backstepping techniques are designed first, assuming that all states are available for feedback. Next, the construction of observer in the transformed domain is presented based on input-output feedback linearization. This approach is then extended to observer design based on backstepping approach using the error equation resulted from the backstepping design procedure. Simulation results demonstrating the effectiveness of the techniques developed are presented and compared.

Keywords

Bioprocess, Feedback Linearization, Backstepping, Luenberger Observers, Observer-Based Control

Conflicts of Interest

The authors declare no conflicts of interest.

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