An optimal single-sensor feedback control law for flexible dynamic systems

1984 ◽  
Author(s):  
S. SKAAR
Keyword(s):  
Feedback Control ◽  
Dynamic Systems ◽  
Control Law ◽  
Single Sensor

Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Xindong Si ◽  
Hongli Yang
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
State Feedback Control ◽  
Invariant Sets ◽  
Linear Feedback ◽  
Control Law ◽  
Optimization Approach ◽  
Fractional Order Systems ◽  
Linear Feedback Control ◽  
Computational Point

AbstractThis paper deals with the Constrained Regulation Problem (CRP) for linear continuous-times fractional-order systems. The aim is to find the existence conditions of linear feedback control law for CRP of fractional-order systems and to provide numerical solving method by means of positively invariant sets. Under two different types of the initial state constraints, the algebraic condition guaranteeing the existence of linear feedback control law for CRP is obtained. Necessary and sufficient conditions for the polyhedral set to be a positive invariant set of linear fractional-order systems are presented, an optimization model and corresponding algorithm for solving linear state feedback control law are proposed based on the positive invariance of polyhedral sets. The proposed model and algorithm transform the fractional-order CRP problem into a linear programming problem which can readily solved from the computational point of view. Numerical examples illustrate the proposed results and show the effectiveness of our approach.

Fault accommodation in bilinear systems – a logic-dynamic approach

2014 ◽  
Vol 31 (2) ◽  
pp. 129-143
Author(s):  
Alexey Zhirabok ◽  
Alexey Shumsky ◽  
Yevgeny Bobko
Keyword(s):  
Linear System ◽  
Dynamic Systems ◽  
Design Methodology ◽  
Bilinear System ◽  
Control Law ◽  
Dynamic Approach ◽  
Linear Solution ◽  
Content Type ◽  
Fault Accommodation ◽  
Practical Implications

Purpose – The purpose of this study is to investigate the problem of fault accommodation in bilinear dynamic systems. Design/methodology/approach – Solution to this problem is related to constructing the control law which provides full decoupling with respect to the fault effects. The so-called logic-dynamic approach will be used to solve this problem. The main steps of this approach are: replacing the initial bilinear system by certain linear one, solving the problem under consideration for this linear system by well-known linear methods with some restrictions, taking into account the bilinear term to correct the obtained linear solution. Findings – Existing conditions of the fault accommodation problem in a form of rank equalities and inequalities are formulated. Calculating relations for the control law and the auxiliary systems are given. Practical implications – The suggested method allows determining such a control law that preserves the main performances of the system in the faulty case, while the minor performances may degrade. Originality/value – The main advantage of the logic-dynamic approach is a possibility to solve the problem of fault accommodation for nonlinear systems by linear methods without decreasing the main properties of the obtained solution.

Semi-global output regulation for discrete-time singular linear systems with input saturation via composite nonlinear feedback control

2016 ◽  
Vol 39 (3) ◽  
pp. 352-360 ◽  
Author(s):  
Xiaoyan Lin ◽  
Dongyun Lin ◽  
Weiyao Lan
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Discrete Time ◽  
Input Saturation ◽  
Output Regulation ◽  
Control Law ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Composite Nonlinear Feedback ◽  
Singular Linear Systems

The semi-global output regulation problem of multi-variable discrete-time singular linear systems with input saturation is investigated in this paper. A composite nonlinear feedback control law is constructed by using a low gain feedback technique for semi-global stabilisation of discrete-time singular linear systems with input saturation. The sufficient solvability conditions of the semi-global output regulation problem by composite nonlinear feedback control are established. When the composite nonlinear feedback control law is reduced to a linear control law, the solvability conditions are an exact discrete-time counterpart of the semi-global output regulation problem of continuous-time singular linear systems. With the extra control freedom of the nonlinear part in the composite nonlinear feedback control law, the transient performance of the closed-loop system can be improved by carefully choosing the linear feedback gain and the nonlinear feedback gain. The design procedure of the composite nonlinear feedback control law and the improvement of the transient performance are illustrated by a numerical example.

Feedback control law of solar sail with variable surface reflectivity at Sun-Earth collinear equilibrium points

2020 ◽  
Vol 106 ◽  
pp. 106144 ◽  
Author(s):  
Lorenzo Niccolai ◽  
Giovanni Mengali ◽  
Alessandro A. Quarta ◽  
Andrea Caruso
Keyword(s):  
Feedback Control ◽  
Equilibrium Points ◽  
Solar Sail ◽  
Control Law ◽  
Variable Surface ◽  
Surface Reflectivity

Comparison of binary and fuzzy logic in feedback control of dynamic systems

2018 ◽  
Vol 7 (3) ◽  
pp. 1056-1064 ◽  
Author(s):  
Sérgio N. Silva ◽  
Matheus F. Torquato ◽  
Marcelo A. C. Fernandes
Keyword(s):  
Fuzzy Logic ◽  
Feedback Control ◽  
Dynamic Systems

scholarly journals Controlled Positive Dynamic Systems with an Entropy Operator: Fundamentals of the Theory and Applications

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2585
Author(s):  
Yuri S. Popkov
Keyword(s):  
Feedback Control ◽  
Dynamic Systems ◽  
Dynamic Properties ◽  
Monotone Operators ◽  
Singular Points ◽  
Program Control ◽  
Linear Feedback ◽  
Economic Systems ◽  
Linear Feedback Control ◽  
Nonzero Equilibrium

Controlled dynamic systems with an entropy operator (DSEO) are considered. Mathematical models of such systems were used to study the dynamic properties in demo-economic systems, the spatiotemporal evolution of traffic flows, recurrent procedures for restoring images from projections, etc. Three problems of the study of DSEO are considered: the existence and uniqueness of singular points and the influence of control on them; stability in “large” of the singular points; and optimization of program control with linear feedback. The theorems of existence, uniqueness, and localization of singular points are proved using the properties of equations with monotone operators and the method of linear majorants of the entropy operator. The theorem on asymptotic stability of the DSEO in “large” is proven using differential inequalities. Methods for the synthesis of quasi-optimal program control and linear feedback control with integral quadratic quality functional, and ensuring the existence of a nonzero equilibrium, were developed. A recursive method for solving the integral equations of the DSEO using the multidimensional functional power series and the multidimensional Laplace transform was developed. The problem of managing regional foreign direct investment is considered, the distribution of flows is modeled by the corresponding DSEO. It is shown that linear feedback control is a more effective tool than program control.

scholarly journals State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 751 ◽  
Author(s):  
Sajede Harraz ◽  
Shuang Cong
Keyword(s):  
Feedback Control ◽  
State Estimation ◽  
Open Quantum Systems ◽  
State Feedback Control ◽  
Quantum Master Equation ◽  
Control Law ◽  
Control Laws ◽  
Quantum State Estimation ◽  
State Transfer ◽  
On Line

In this paper, we propose a Lyapunov-based state feedback control for state transfer based on the on-line quantum state estimation (OQSE). The OQSE is designed based on continuous weak measurements and compressed sensing. The controlled system is described by quantum master equation for open quantum systems, and the continuous measurement operators are derived according to the dynamic equation of system. The feedback control law is designed based on the Lyapunov stability theorem, and a strict proof of proposed control laws are given. At each sampling time, the state is estimated on-line, which is used to design the control law. The simulation experimental results show the effectiveness of the proposed feedback control strategy.

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