Effect of Process Nonlinearity on Linear Quadratic Regulator Performance

In this paper, a new local measure of nonlinearity is introduced to quantify the sensitivity of controller performance for linear controllers operating on a nonlinear plant. The measure, called the performance sensitivity measure, quantifies the departures from optimality of locally linear quadratic regulators. A root mean squared measure, the RMSPSM, is proposed to summarize average nonlinearity effects over a region of interest. The measure applies to nonlinear systems that admit a controllable and observable linearization.

Reference

M. Guay, R. Dier, J. Hahn, and P. J. McLellan. "Effect of Process Nonlinearity on Linear Quadratic Regulator Performance"

Journal of Process Control 15, No. 1, pp. 113-123 (2005)