Control of First Order Systems With Bounded Input by Asymptotic Output Tracking With Fractional Regulators

2007 ◽  
Author(s):  
Rube´n Marti´nez ◽  
Israel Mazaira ◽  
Vicente Feliu
Keyword(s):  
State Feedback ◽  
Dynamic State ◽  
Control Input ◽  
Bounded Control ◽  
First Order ◽  
Output Tracking ◽  
The Time Domain ◽  
Rational Order ◽  
Bounded Input ◽  
System Time

In this paper, the control of first order systems by applying fractional regulators in the time domain with bounded input is presented. The design of the proposed fractional regulator, is based in the local asymptotic output tracking of linear systems with bounded control input by linear dynamic state feedback and the reduction of the system time response by the expansion of integer-order models to rational-order one.

Periodic controller for guaranteed simultaneous stabilization of two plants with robust zero error tracking

2018 ◽  
Vol 233 (5) ◽  
pp. 480-490
Author(s):  
Arindam Chakraborty ◽  
Jayati Dey
Keyword(s):  
Design Methodology ◽  
Linear Time ◽  
Pole Placement ◽  
Control Input ◽  
Efficient Design ◽  
Simultaneous Stabilization ◽  
Bounded Control ◽  
Linear Time Invariant ◽  
Time Invariant ◽  
Time Periodic

The guaranteed simultaneous stabilization of two linear time-invariant plants is achieved by continuous-time periodic controller with high controller frequency. Simultaneous stabilization is accomplished by means of pole-placement along with robust zero error tracking to either of two plants. The present work also proposes an efficient design methodology for the same. The periodic controller designed and synthesized for realizable bounded control input with the proposed methodology is always possible to implement with guaranteed simultaneous stabilization for two plants. Simulation and experimental results establish the veracity of the claim.

scholarly journals Robust State Feedback Controller for Photovoltaic Inverter System using Unbundled Smart Meter

2019 ◽  
Vol 8 (11) ◽  
pp. 4095-4104
Keyword(s):  
Power Flow ◽  
State Feedback ◽  
Dynamic Control ◽  
Feedback Controller ◽  
Dynamic State ◽  
Smart Meter ◽  
Control Logic ◽  
State Feedback Controller ◽  
Energy Meter ◽  
Integration Of Renewables

The paper proposes the integration of photovoltaics into distribution power system through inverter control and optimally managing the power flow based on smart energy meter data. The concept of Unbundled Smart Meter (USM) is used which to optimally integrate the inverter control logic with in the Smart meter which requires the construction of SMX (Smart Meter Extension) library. The proposed approach is adapted to make the design more robust and dynamic. State feedback controller has been designed to control the power flow to and from between the inverter and grid through USM and hence provide additional services to support grid operations. The proposed system gives the flexibility of adding numerous functionalities in the installed smart meter without the fuss of firmware change and hence integration of renewables to grid becomes more efficient as the meter’s instantaneous data are used in the dynamic control of the system. The validation of the proposed scheme is achieved by time domain simulations on MATLAB/Simulink R2018a platform along with Arduino programming on Proteus 8.1 software. These results are further assessed through Hardware experiment observations.

scholarly journals Bounded finite-time stabilization of the prey – predator model via Korobov’s controllability function

2021 ◽  
Vol 21 (1) ◽  
pp. 76-87
Author(s):  
Abdon E. Choque-Rivero ◽  
◽  
Fernando Ornelas-Tellez ◽  
Keyword(s):  
Equilibrium Point ◽  
Finite Time ◽  
Control Input ◽  
Bounded Control ◽  
Physical Restriction ◽  
Simulation Results ◽  
Finite Time Stabilization ◽  
Predator Model ◽  
Control Methodology ◽  
Predator System

The problem of finite-time stabilization for a Leslie-Gower prey – predator system through a bounded control input is solved. We use Korobov’s controllability function. The trajectory of the resulting motion is ensured for fulfilling a physical restriction that prey and predator cannot achieve negative values. For this purpose, a certain ellipse depending on given data and the equilibrium point of the considered system is constructed. Simulation results show the effectiveness of the proposed control methodology.

scholarly journals Numerical evaluation of sine-Gordon chain energy control via subdomains state feedback under quantizationand time sampling

2019 ◽  
pp. 18-28
Author(s):  
Boris Andrievsky ◽  
Yury Orlov
Keyword(s):  
State Feedback ◽  
Communication Channel ◽  
Closed Loop ◽  
Signal Transmission ◽  
Control Signal ◽  
Time Sampling ◽  
Signal Quantization ◽  
First Order ◽  
Time Control ◽  
Level Quantization

The paper is devoted to the numerical performance evaluation of the speed-gradient algorithms, recently developed in (Orlov et al., 2018; Orlov et al., 2019) for controlling the energy of the sine-Gordon spatially distributed systems with several in-domain actuators. The influence of the level quantization of the state feedback control signal (possibly coupled to the time sampling) on the steady-state energy error and the closed loop system stability is investigated in the simulation study. The following types of quantization are taken into account: sampling-in-time control signal quantization, the level quantization for control, continuous in time; control signal quantization on level jointly with time sampling; control signal transmission over the binary communication channel with time-invariant first order coder; control signal transmission over the binary communication channel with first order coder and time-based zooming; control signal transmission over the binary communication channel with adaptive first order coder. A resulting impact on the closed-loop performance in question is concluded for each type of the quantization involved.

scholarly journals Decentralized Suboptimal State Feedback Integral Tracking Control Design for Coupled Linear Time-Varying Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Mohamed Sadok Attia ◽  
Mohamed Karim Bouafoura ◽  
Naceur Benhadj Braiek
Keyword(s):  
Tracking Control ◽  
State Feedback ◽  
Linear Time ◽  
Least Square ◽  
Control Synthesis ◽  
Operational Matrices ◽  
Control Input ◽  
Time Varying ◽  
State Equations ◽  
Integral Control

In this paper, a suboptimal state feedback integral decentralized tracking control synthesis for interconnected linear time-variant systems is proposed by using orthogonal polynomials. Particularly, the use of operational matrices allows, by expanding the subsystem input states and outputs over a shifted Legendre polynomial basis, the conversion of time-varying parameter differential state equations to a set of time-independent algebraic ones. Hence, optimal open-loop state and control input coefficients are forwardly determined. These data are used to formulate a least-square problem, allowing the synthesis of decentralized state feedback integral control gains. Closed-loop asymptotic stability LMI conditions are given. The proposed approach effectiveness is proved by solving a nonconstant reference tracking problem for coupled inverted pendulums.

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