Другие журналы

Fetisov
An Orbital Feedback Linearization Approach to Solving Terminal Problems for Affine Systems with Vector Control
Mathematics and Mathematical Modelling # 06, December 2015 DOI: 10.7463/mathm.0615.0828643 pp. 1731
Sufficient Controllability Condition for Affine Systems with TwoDimensional Control and TwoDimensional Zero Dynamics
Mathematics and Mathematical Modelling # 06, December 2015 DOI: 10.7463/mathm.0615.0823117 pp. 3243
Sufficient Controllability Condition for Multidimensional Affine Systems
Engineering Education # 11, November 2014 DOI: 10.7463/1114.0737321 pp. 281293
A method for solving terminal control problems for affine systems
Engineering Education # 11, November 2013 DOI: 10.7463/1113.0622543 A new method was proposed to solve terminal control problems for multidimensional affine systems. The system under consideration is supposed to be equivalent to a regular system of a quasicanonical form. A necessary and sufficient condition for existence of a solution of terminal control problems for transformed systems was formulated. A sufficient condition for solvability of terminal control problems was proved for quasicanonical systems with nonlinear subsystem dimension not exceeding control dimension. An algorithm was designed to construct a solution of terminal control problems for this class of systems. A numerical example was presented to illustrate the proposed algorithm.
Solving terminal control problems for affine systems
Engineering Education # 10, October 2013 DOI: 10.7463/1013.0604151 In this paper a new approach was proposed to solve terminal control problems for affine systems. This approach is based on transformation of a system under consideration to a quasicanonical form system. Moreover, it was assumed that all subsystems of the canonical form are twodimensional. A sufficient condition for existence of a solution for the terminal control problem was proved. A numerical procedure was also proposed to construct a solution of the terminal control problem for affine systems which are equivalent to systems of the quasicanonical form with twodimensional subsystems of the canonical form. An example was given to illustrate the proposed approach.
Regular systems of a quasicanonical form with scalar control and twodimensional zero dynamics controllability
Engineering Education # 10, October 2012 DOI: 10.7463/1012.0465329 The new method is proposed to solve a terminal problem for regular systems of a quasicanonical form with twodimensional zero dynamics and scalar control. The example of terminal problem solving by means of the method proposed is given. The controllability sufficient condition for regular systems of a quasicanonical form with scalar control and twodimensional zero dynamics is proven. The example is represented to illustrate the condition received.
Sufficient condition of affine system controllability
Engineering Education # 08, August 2012 DOI: 10.7463/0812.0445546 This note deals with a controllability condition for affine systems with scalar control. The main assumption – the considered system is equivalent to system of a quasicanonical form, regular on all space of states. For regular system of a quasicanonical form the solution existence sufficient condition of a terminal task is received. By means of this condition it is shown that under some conditions the terminal task for regular system of a quasicanonical form has the decision for any initial and final conditions of system on any final interval of time. Thereby the sufficient condition of controllability for a considered class of systems is proved. A possible scope of the received results is the solution of technical systems control problems.
7730569/236936 Affine System Controllability Condition
Engineering Education # 10, October 2011 This note deals with a controllability condition for affine systems with scalar control on all space of states for any final interval of time. Research is based on system transformation to a quasicanonical form and the further analysis of terminal problem solution existence for the transformed system. It is shown that for system with the right part of a special form the terminal problem has the solution for any initial and final states of system and any interval of time. Thereby it is proved that such system is controlled on all space of states for any final interval of time. A possible scope of the received results is the solution of technical systems control problems.



