Decomposition Principle in the Problem of Synthesis of State Observers for SISO Systems Under the Action of External Disturbances

This paper aims to propose and develop an adaptive moving sliding mode controller (AMSMC) that can be applied for nonlinear single-input single-output (SISO) systems with external disturbances. The main contribution of this framework consists to overcome the chattering phenomenon problem. The discontinuous term of the classic sliding mode control is replaced by an adaptive term. Moreover, a moving sliding surface is proposed to have better tracking and to guarantee robustness to the external disturbances. The parameters of the sliding surface and the adaptive law are deduced based on Lyapunov stability analysis. An experimental application of electropneumatic system is treated to validate the theoretical results.

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CRONE Observer of Nonlinear SISO Systems

Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C ◽

10.1115/detc2007-34798 ◽

2007 ◽

Cited By ~ 1

Author(s):

Patrick Lanusse ◽

Jocelyn Sabatier ◽

Mathieu Merveillaut

Keyword(s):

State Observer ◽

Open Loop ◽

Observer Design ◽

Observation Error ◽

Dynamic Feedback ◽

Fractional Differentiation ◽

State Observation ◽

State Observers ◽

Crone Control ◽

Siso Systems

CRONE control, robust control methodology based on fractional differentiation, is applied to state observer design. State observation can indeed be viewed as a regulation problem given that the goal of a state observer is to cancel the observation error in spite of measurement noise, disturbances and plant perturbations. This conclusion has been used recently to define a new class of state observers known in the literature as “dynamic observers” or “input-output observer”. It is based on the observation error dynamic feedback. In this paper, this idea is used to define the CRONE observer design methodology for nonlinear SISO systems. As for CRONE control, fractional differentiation in the definition of an equivalent open loop transfer function permits the reduction of the number of parameters to be optimised.

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Application of Astatic State Observers in Electromechanotronic Modules

Scientific Journal of Riga Technical University Power and Electrical Engineering ◽

10.2478/v10144-010-0039-6 ◽

2010 ◽

Vol 27 (1) ◽

pp. 152-155 ◽

Cited By ~ 1

Author(s):

Nikolay Gnezdov ◽

Aleksey Kolganov ◽

Sergey Lebedev

Keyword(s):

Fixed Point ◽

Control System ◽

Calculation Method ◽

Synthesis Method ◽

High Order ◽

Microprocessor Control ◽

External Disturbances ◽

State Observers ◽

Microprocessor Control System ◽

Instantaneous Values

Application of Astatic State Observers in Electromechanotronic ModulesThe authors offer a synthesis method of state observers with high-order astatism. There are no errors caused by the action of arbitrary external disturbances in reduced variables of such observers. The observers also restore the instantaneous values of disturbances. The authors present a calculation method of ultimate realizable dynamics of observers during their realization in microprocessor control system which calculates in numbers with fixed point without overflowing of variables. The description of experimental installation and software is given.

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Output Consensus Regulation for State-Unmeasurable Discrete-Time Multiagent Systems with External Disturbances

Mathematical Problems in Engineering ◽

10.1155/2015/158702 ◽

2015 ◽

Vol 2015 ◽

pp. 1-7

Author(s):

He Jiang ◽

Dongsheng Yang

Keyword(s):

Multiagent Systems ◽

Discrete Time ◽

Matrix Theory ◽

Consensus Protocol ◽

External Disturbances ◽

State Observers ◽

Network Topologies ◽

Dynamic Compensator ◽

Design Protocol ◽

The Mathematical Model

This paper deals with the output consensus regulation problem for discrete-time multiagent systems with state-unmeasurable agents and external disturbances under directed communication network topologies. Firstly, the mathematical model for the output consensus problem of discrete-time multiagent systems is deduced and formulated via making matrix transformation. Then, based on state observers, a novel output consensus protocol with dynamic compensator which is used as observer for the exosystem is proposed to solve this problem. Some knowledge of matrix theory and graph theory is introduced to design protocol parameters and the convergence of output consensus errors is proved. Finally, a numerical simulation example is shown to verify the effectiveness of the proposed protocol design.

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