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observer
The high-gain observer was used to estimate the state of the system.
      
A sliding mode perturbation observer (SPO) is designed to estimate unmeasurable states and system perturbations that involve system nonlinearities, disturbances and unmodelled dynamics.
      
It was shown that the processes in the observer based on the desired matrix transfer functions are limited by the possibilities of physical realization and that in the general case the desired processes in the observer are rank-constrained.
      
Stepwise procedures for choosing state observer controls from high-gain feedback systems are developed.
      
Linear control in the "object-state observer-controller" loop was considered.
      
An algorithm to design the united "state observer-controller" system from the desirable closed-loop matrix transfer functions was proposed.
      
A controller of an object that is designed in the space of states generally consists of two blocks: an observer and a block implementing a control law.
      
Optimality criteria with small parameters are set up, which offer the possibility of designing a modified controller, leaving out the procedure of design of an observer.
      
Two approaches to this problem-control based on the output feedback and control with observer-were compared.
      
Two interrelated problems-design of the reduced observer of plant state separately and together with its control system-were considered from the standpoint of designing the multivariable linear systems from the desired matrix transfer functions.
      
Cascaded Design of the State Observer for Nonlinear Systems in the Presence of External Perturbations
      
The possible parametric uncertainty of the controlled system and external disturbance generator has no influence on the observer structure and parameters, and is manifested in the uncertainty of the parametrized disturbance model.
      
As in [3], the observer structure and parameters do not depend on the parameters of the controlled system and external disturbance generator.
      
Stabilization of Nonlinear Dynamic Systems Using the System State Estimates Made by the Asymptotic Observer
      
Consideration was given to asymptotic stabilization of the equilibria of nonlinear dynamic systems using the dynamic output feedbacks, that is, the feedbacks in the estimate of system state made by the asymptotic observer.
      
Presented were the basic methods of constructing the asymptotic observers for the nonlinear dynamic systems with control and the approaches to system stabilization using the system state estimate made by the observer.
      
In the conditions of limited information about the state vector, the decomposition methods based on the discontinuous control actions were proposed for the problems of feedback design and construction of the state observer.
      
A dynamic state observer is used to estimate the phenol ozonization constant at different pH values from 2 to 12.
      
Adaptive observer-based synchronization of the nonlinear nonpassifiable systems
      
Solution of the problem of synchronization relies on a new canonical form of the adaptive observer.
      
 

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