Continuous-time based Multiple Model System Control with Reliability Constraint

Xiaopin Zhong Mohamed Ichchou, Alexandre S. Saidi · 2009

In this paper, a new active control frame- work is developed for non-LTI continuous-time sys- tem, which is closer to the real world. Like other control system developments, it consists of two major parts: observer design and controller design. For the observer, the dynamic system is modelled as a jump Markov linear system whose parameters evolve along with the running mode of plant, then the continuous- time based interacting multiple model(CT-IMM) al- gorithm is proposed to estimate the full state more precisely. For the controller, a dynamic reliability constraint is added and the optimal control problem is reformulated to guarantee the reliability of sys- tem. Illustrative examples showed the accuracy of CT-IMM and the validity of controller with reliabil- ity constraint.

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