A Nash Game Approach to Mixed H2/H∞ Model Predictive Control: Part 3 – Output Feedback Case
In this paper, the state-feedback Nash game based mixed H2/H∞ design[1, 2] has been extended for output feedback case. The algorithm is applied to control bioreactor system with a Laguerre-Wavelet Network (LWN)[3, 4] model of the bioreactor. This is achieved by using the LWN model as a deviation model and by successively linearising the deviation model along the state trajectory. For reducing the approximation error and to improve the controller performance, symbolic derivation algorithm, viz., automatic differentiation is employed. A cautionary note is also given on the fragility of the output feedback mixed H2/H∞ model predictive controller[4, 5] due to its sensitivity to its own parametric changes.
KeywordsRobust model predictive control mixed H2/H∞ control Nash game output feedback model predictive control (MPC) automatic differentiation fragility of controller
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