10 research outputs found
Adaptive observer for a LTV system with partially unknown state matrix and delayed measurements
Problem of adaptive state observer synthesis for linear time-varying (LTV)
system with unknown time-varying parameter and delayed output measurements is
considered. State observation problem has attracted the attention of many
researchers . In this paper the results proposed in the , ,
are developed. It is supposed that the state matrix can be represented
as sum of known and unknown parts. Output vector is measured with known
constant delay. An adaptive identification algorithm which reconstructs unknown
state and unknown time varying parameter is proposed.Comment: 6 pages, 10 figure
Variational problem of adaptive optimal control. Theoretical and applied computer analysis
The problem of adaptive optimal control of a dynamical system, which belongs to the class of conditional variational problems with moving boundaries, is considered. A variational and computer study of the controlled adaptive motion of a material point is carried out for the problem of the energy quality functional minimizing with a moving, not predetermined right transboundary and in the case when the mass of the point changes depending on the unfixed final time. The problem is solved using the schemes and procedures of the classical calculus of variations, as well as adaptive
estimation techniques, including the derivation of the variation of the auxiliary quality functional, the corresponding Euler equations, and the adaptive estimation algorithm. When solving a general conditional variational problem, the obtained closed system of differential equations was studied for the formation of an adaptive optimal control system for a dynamic plant with a given performance functional. The results of the unconditional formulation of the problem are
generalized to the case of additional differential (nonholonomic) and holonomic constraints. In a variational adaptive optimal control problem, the transversality condition is formulated in terms of the local programming condition. The
developed variational scheme of adaptive optimal synthesis can be used in the calculation and design of controlled dynamic systems. This optimization scheme is also promising for use in systems where operating time is non-fixed in
advance. The results achieved in this paper concern obtaining specific equations, expressions, and formulas relative to
the model example under study and finding graphs of the main time functions that determine the nature of the movement
of the control object and the quality of the corresponding transients. The proposed adaptive optimal control algorithms
for purposeful movement of the studied material point were tested in digital mode and showed their effectiveness which
makes them promising for further use in more complex nonlinear adaptive systems of dynamic optimal control
Adaptive suboptimal control problem and its variational solution
A suboptimal cross-border problem is considered about nonlinear dynamic controlled systems under deterministic,
uniformly bounded external unknown disturbances. The problem is solved by applying the methods of classical variations
calculus for the case when the time interval of adaptation and optimization is not set in advance. The necessary conditions for the choice of extreme motion are determined due to the proper formation of a closed suboptimal adaptive control
system. The theoretical analysis is supplemented with computer calculations using a specific model example, which
showed effectiveness of the considered approach. The proposed scheme of suboptimal adaptive synthesis can be used
in the calculations and design of nonlinear controlled dynamic systems
Stator Flux Finite-time Observer for Non-Salient Permanent Magnet Synchronous Motors
International audienc
Stator flux and load torque observers for PMSM
International audienc