By Stanislav V. Emelyanov PhD, Sergey K. Korovin PhD (auth.)
Control of advanced and unsure Systems examines suggestions controller layout for dynamical platforms. It provides a compact presentation of the evolution of suggestions concept and suggestions layout equipment, earlier than providing a brand new theoretical method of suggestions control.
Traditionally, the inability of normal approaches for the layout of suggestions controls that might be topic to doubtful stipulations, coupled with a constrained knowing of the way suggestions mechanisms will react to these doubtful stipulations, has provided a problem.
This ebook offers a customary precept, in addition to concrete tools, for suggestions layout. It both goals to extend our realizing of the way suggestions controllers react to doubtful forces. In doing so it lays the theoretical foundation for a brand new new release of excellent automated systems.
Topics lined include:
- Synthesis of Nonlinear Controllers
- larger measure Sliding Modes
- idea of Coordinate-Operator suggestions / idea of Operator-Coordinate Feedback
- actual Foundations of the reimbursement for Disturbances, and Stabilization of compelled movement in Binary Systems
- sign Differentiation
- Suboptimal Stabilization of an doubtful Object
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Additional info for Control of Complex and Uncertain Systems: New Types of Feedback
30 and from the equations for the control object y = P~' z , z = P~ (J + r) , r = PI u that y does not depend on the interference f if the coordinate z does not depend on f. , if P~ is an annihilating operator for f. Since there is no hope to satisfy this identity, we shall try to change the operator acting from f to z with the aid of the local feedback with operator R (Fig. 31). In the system modified in this way, we use the relations z = P~ (J + r), r = PI (u - Rz) to find the dependence of z on f.
26. Thus, the independence of the output y of the object of the disturbance j is ensured but, generally speaking, at the cost of the loss of the equality y = yS required in the stabilization problem since we now have Y = P2 p~' /I V = -RI S u = p~' p-I RI yS ' R2 = -P'2 y S . CHAPTER 1. 20) was never presupposed. 20) or introduce a reference action operator yS, V S = Q yS which would correct the programmed control US (Q is a feedforward correcting operator which is hatched in Fig. 26). 19) are taken into account as well as the notation introduced earlier.
However. the main idea of this technique is very transparent and can be formulated as follows: in order to make the controlled coordinate of a control system independent of an external disturbance, it is necessary to organize at least one more additional channel along which the disturbance would influence the controlled coordinate and "adjust" it so that a mutual compensation of the components of the signals which are due to the action of disturbance would occur at a given point of the control system.
Control of Complex and Uncertain Systems: New Types of Feedback by Stanislav V. Emelyanov PhD, Sergey K. Korovin PhD (auth.)