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For MIMO nonlinear differential-algebraic equations (DAE) subsystem, the Backstepping stabilization control method is studied and the results are applied to the decentralized control of power system. The concept of vector relative order for MIMO nonlinear DAE subsystem is put forward. If the vector relative order exists, then the subsystem can be transformed equivalently by a diffeomorphism and a...
For nonlinear differential-algebraic equations system which satisfies linear growth condition and is of index one, this paper shows that there exists an appropriate sampling period such that the problem of sampled-data output feedback stabilization control can be solved. A linear explicit non-initialized observer is proposed, which means that the initial states of the observer are not necessarily...
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