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We consider the problem of constructing a controller achieving a desired linear specification, based on a linear abstraction system of the plant system. First, we extend the necessary and sufficient conditions for control by interconnection by bisimulation equivalence to the case of non-deterministic linear systems. Then we apply the controller constructed on the basis of the lower-dimensional abstraction...
In this paper, we define the notion of bisimulation relations for DAE systems having a regular matrix pencil. It is well-known that under the assumption of regularity of the matrix pencil the state vector of the DAE system can be split into two parts: one corresponding to the “ordinary” input-state-output behavior corresponding to a standard proper transfer matrix, and the other one related to a polynomial...
This paper investigates the application of a robust hybrid control design for a small scale helicopter flying with multiple linearised mathematical models. A hybrid control architecture is proposed and will be developed to cope with the complexity of the non-linear system. A class of this control system is known as hybrid control systems which deal with dynamic changes and jump transition behaviour...
In this paper we investigate safety verification of linear system. The structure of linear system will be exploited and converted to certain eigenstructure as an emptiness problem for a semi algebraic set. Sum of square (SOS) is emploited to check emptiness of of the set defines by polynomial inequalities which can be computed by semidifinite programming. A special consideration is to investigate...
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