Design of a High Gain Observer Optimization Method for the State Synchronization of Nonlinear Perturbed Chaotic Systems

2018 ◽  
Vol 13 (11) ◽  
Author(s):  
Ines Daldoul ◽  
Ali Sghaier Tlili
Keyword(s):  
Chaotic Systems ◽  
Correction Term ◽  
Salient Feature ◽  
Optimization Method ◽  
High Gain ◽  
Optimization Criterion ◽  
The State ◽  
Observation Error ◽  
High Gain Observer ◽  
The Cost

This paper propounds addressing the design of a high gain observer optimization method in order to ensure a reliable state synchronization of nonlinear perturbed chaotic systems. The salient feature of the developed approach lies in the optimization of the high gain observer by using the optimal control theory associated with a proposed numerical algorithm. Thereby, an innovative quadratic optimization criterion is proposed to calculate the required optimal value of the observer setting parameter θ, characterizing the observation gain and corresponding to the minimal value of the cost function, by achieving a compromise between the correction term of the state observer and its observation error. Moreover, the exponential stability of the high gain observer is demonstrated within the Lyapunov framework. The efficacy of the designed approach is highlighted by numerical simulation on two prominent examples of nonlinear perturbed chaotic systems.

scholarly journals Robust State Estimation for a Nonlinear Hybrid Model of the Alternating Activated Sludge Process Using Filtered High-Gain Observers

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Afef Boudagga ◽  
Habib Dimassi ◽  
Salim Hadj-Said ◽  
Faouzi M’Sahli
Keyword(s):  
Activated Sludge ◽  
State Estimation ◽  
Estimation Method ◽  
High Gain ◽  
Observer Design ◽  
Measurement Noise ◽  
Observation Error ◽  
Activated Sludge Process ◽  
High Gain Observer ◽  
Nonlinear Hybrid

In this paper, a robust state estimation method based on a filtered high-gain observer is developed for the alternating activated sludge process (AASP) considered as a nonlinear hybrid system. Indeed, we assume that the biodegradable substrate and the ammonia concentrations in the AASP model are unmeasured due to the high cost of their sensors whose maintenance is also very expensive. The observer design is based on the association of the classical high-gain observer and the idea of the application of linear filters on the observation error to deal with measurement noise. It is shown through a Lyapunov analysis that the designed observer ensures the estimation of the unmeasured states (the biodegradable substrate and the ammonia concentrations) based on the measured dissolved oxygen and nitrate concentrations subject to noise. A comparison with the classical high-gain observer is performed via numerical simulations in order to show the robustness of the suggested estimation approach against Gaussian measurement noise.

Path Following of a Ship Sailing in Restricted Waters Based on an Extended Updated-Gain High-Gain Observer

2018 ◽  
Author(s):  
Jianqin Wang ◽  
Zaojian Zou ◽  
Tao Wang
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Control Method ◽  
Output Feedback Control ◽  
Path Following ◽  
High Gain ◽  
The State ◽  
State Feedback Control ◽  
Control Law ◽  
High Gain Observer

The paper studies the path following of a ship sailing in restricted waters based on an output feedback control, which consists of a state feedback control law and an extended updated-gain high-gain observer. According to the separation principle, the state feedback control and the extended updated-gain high-gain observer are designed separately. The state feedback control law is designed based on a robust guaranteed cost control method assuming that system states are measurable. Sufficient conditions are given for the control based on a linear uncertain system. The extended updated-gain high-gain observer, whose gains are updated according to the nonlinear functions of available evaluation errors, is used to reconstruct system states. Then the output feedback control is obtained by replacing states value in the state feedback control law with its estimation yielded by the state observer. Numerical simulations confirm the effectiveness of the proposed control method for the path following of a ship sailing in restricted waters.

PREREQUISITES FOR THE FORMATION OF A MECHANISM FOR STATE REGULATION OF SOCIAL GUARANTEES IN THE REGION

2017 ◽  
Author(s):  
Vitaly Lobas ◽  
◽  
Elena Petryaeva ◽  
Keyword(s):  
Social Protection ◽  
Well Being ◽  
State Regulation ◽  
The State ◽  
Point Of View ◽  
Periodic Review ◽  
Cost Of Living ◽  
Economic Relations ◽  
State Management ◽  
The Cost

The article deals with modern mechanisms for managing social protection of the population by the state and the private sector. From the point of view of forms of state regulation of the sphere of social protection, system indicators usually include the state and dynamics of growth in the standard of living of the population, material goods, services and social guarantees for the poorly provided segments of the population. The main indicator among the above is the state of the consumer market, as one of the main factors in the development of the state. Priority areas of public administration with the use of various forms of social security have been identified. It should be emphasized that, despite the legislative conflicts that exist today in Ukraine, mandatory indexation of the cost of living is established, which is associated with inflation. Various scientists note that although the definition of the cost of living index has a well-established methodology, there are quite a lot of regional features in the structure of consumption. All this is due to restrictions that are included in the consumer basket of goods and different levels of socio-economic development of regions. The analysis of the establishment and periodic review of the minimum consumer budgets of the subsistence minimum and wages of the working population and the need to form state insurance funds for unforeseen circumstances is carried out. Considering in this context the levers of state management of social guarantees of the population, we drew attention to the crisis periods that are associated with the market transformation of the regional economy. In these conditions, there is a need to develop and implement new mechanisms and clusters in the system of socio-economic relations. The components of the mechanisms ofstate regulation ofsocial guarantees of the population are proposed. The deepening of market relations in the process of reforming the system of social protection of the population should be aimed at social well-being.

The Self-Undermining State

2017 ◽  
Author(s):  
Arjun Chowdhury
Keyword(s):  
State Formation ◽  
Final Section ◽  
The State ◽  
The Self ◽  
Central Authority ◽  
Interstate War ◽  
External Threats ◽  
Willingness To Sacrifice ◽  
The Cost

This chapter provides an informal rationalist model of state formation as an exchange between a central authority and a population. In the model, the central authority protects the population against external threats and the population disarms and pays taxes. The model specifies the conditions under which the exchange is self-enforcing, meaning that the parties prefer the exchange to alternative courses of action. These conditions—costly but winnable interstate war—are historically rare, and the cost of such wars can rise beyond the population’s willingness to sacrifice. At this point, the population prefers to avoid war rather than fight it and may prefer an alternative institution to the state if that institution can prevent war and reduce the level of extraction. Thus the modern centralized state is self-undermining rather than self-enforcing. A final section addresses alternative explanations for state formation.

Constructing Images of Deviance: A Look at State Intervention into the Problem of Wife-Battery

1983 ◽  
Vol 31 (1_suppl) ◽  
pp. 60-76
Author(s):  
Patricia A. Morgan
Keyword(s):  
Social Problem ◽  
State Intervention ◽  
The United States ◽  
The State ◽  
Structural Position ◽  
Wife Battering ◽  
The Social ◽  
Class Context ◽  
Definition Of ◽  
The Cost

Patricia Morgan's paper describes what happens when the state intervenes in the social problem of wife-battering. Her analysis refers to the United States, but there are clear implications for other countries, including Britain. The author argues that the state, through its social problem apparatus, manages the image of the problem by a process of bureaucratization, professionalization and individualization. This serves to narrow the definition of the problem, and to depoliticize it by removing it from its class context and viewing it in terms of individual pathology rather than structure. Thus refuges were initially run by small feminist collectives which had a dual objective of providing a service and promoting among the women an understanding of their structural position in society. The need for funds forced the groups to turn to the state for financial aid. This was given, but at the cost to the refuges of losing their political aims. Many refuges became larger, much more service-orientated and more diversified in providing therapy for the batterers and dealing with other problems such as alcoholism and drug abuse. This transformed not only the refuges but also the image of the problem of wife-battering.

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