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Synthesis of time-optimal control for a class of linear systems

Penev B. G., Christov N. D.

Systems Science

2006

Vol. 32, no 1

15-26

The paper deals with the optimal control synthesis for a class of linear time-optimal control problems of decreasing order. The state-space properties and relationships between two neighbouring problems within this class are studied. Based on these properties, a new approach is proposed for synthesis of time-optimal control, requiring no description of the switching hyper-surface. The approach consists of two main stages: first, the problems of state spaces are analysed, and then the optimal control is obtained by using a multi-stage procedure within the class of problems under consideration.

State-space analysis in the time-optimal control design for a class of linear systems

Penev B. G., Christov N.

Systems Science

2005

Vol. 31, no 4

33-48

The paper deals with a new approach to synthesis of time-optimal control for a class of linear systems. It is based on decomposition of the time-optimal control problem into a class of decreasing order problems, and the properties and relations between the problems within this class. First, state-space properties of the problems are analyzed, and then the optimal control is obtained by using a multistage procedure avoiding the switching hypersurface description. The emphasis in this paper is put on the state-space analysis stage of the approach proposed.