scholarly journals Novel Approach to Preview Control for a Class of Continuous-Time Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Fucheng Liao ◽  
Yujie Xu ◽  
Jiang Wu
Keyword(s):  
Continuous Time ◽  
Tracking Error ◽  
Original System ◽  
Response Speed ◽  
State Equation ◽  
Control Input ◽  
Novel Approach ◽  
Continuous Time Systems ◽  
Error System ◽  
Time Systems

This paper explicates a new method of designing a preview controller for a class of continuous-time systems. The augmented error system is constructed by the error system with the derivative of the tracking error signal, the state equation, and an identical equation of the derivative of the control input, which transforms a tracking problem into a regulation problem. Therefore, in the paper, the performance index contains the derivative of the control input. Based on the theory of optimal control, the regulator problem of the augmented error system is solved. Thus, the controller with preview compensation for the original system is deduced. The response speed of the closed-loop system is accelerated by the previewed demand output. A final numerical example is given to illustrate the validity of the proposed method.

scholarly journals SINGULAR FRACTIONAL CONTINUOUS-TIME AND DISCRETE-TIME LINEAR SYSTEMS

2013 ◽  
Vol 7 (1) ◽  
pp. 26-33 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
State Equation ◽  
Electrical Circuit ◽  
The State ◽  
Continuous Time Systems ◽  
Definition Of ◽  
Time Systems ◽  
Time Linear

Abstract New classes of singular fractional continuous-time and discrete-time linear systems are introduced. Electrical circuits are example of singular fractional continuous-time systems. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and Laplace transformation the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional systems if it contains at least one mesh consisting of branches with only ideal supercondensators and voltage sources or at least one node with branches with supercoils. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional discrete-time linear systems is derived. The considerations are illustrated by numerical examples.

scholarly journals Preview Tracking Control for Continuous-Time Singular Interconnected Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-13
Author(s):  
Hao Xie ◽  
Fucheng Liao ◽  
Jiamei Deng
Keyword(s):  
Numerical Simulation ◽  
Continuous Time ◽  
Tracking Control ◽  
Singular Systems ◽  
Tracking Error ◽  
Original System ◽  
Interconnected Systems ◽  
Interconnected System ◽  
Tracking Controller ◽  
Error System

This paper proposes and investigates a problem of preview tracking control for a class of continuous-time singular interconnected systems. Firstly, the related items are deleted to obtain several isolated subsystems with low dimensions. An error system is constructed for each isolated subsystem so that the tracking error is included in the state vector of the error system; then, the tracking problem is transformed into a regulation problem. Secondly, the preview tracking controller is designed for each error system and obtained controllers are combined as the controller of the error system of the singular interconnected system. Thirdly, the Lyapunov function method is utilized to determine the constraints of the related terms so that the closed-loop system of the error system of the singular interconnected system is stable under the action of the controller obtained. Finally, the preview tracking controller of the singular interconnected system is obtained from the relationship between the error system and the original system. A numerical simulation algorithm for continuous-time singular systems is also proposed in this paper. The numerical simulation illustrates the effectiveness of the theoretical results.

scholarly journals Robust switched controller design for linear continuous-time systems

2015 ◽  
Vol 25 (4) ◽  
pp. 401-416 ◽  
Author(s):  
Adrian Ilka ◽  
Vojtech Veselý
Keyword(s):  
Continuous Time ◽  
Controller Design ◽  
Design Procedure ◽  
Quadratic Stability ◽  
Quadratic Cost ◽  
Novel Approach ◽  
Continuous Time Systems ◽  
Parameter Dependent ◽  
Time Systems ◽  
Quadratic Cost Function

Abstract In this paper we study a novel approach to the design of a robust switched controller for continuous-time systems described by a novel robust plant model using quadratic stability and multi parameter dependent quadratic stability approaches. In the proposed design procedure with an output feedback a novel quadratic cost function is proposed which allows to obtain different performance dependence on the working points. Finally a numerical examples are investigated.

DESIGN OF AN OPTIMAL PREVIEW CONTROLLER FOR CONTINUOUS-TIME SYSTEMS

2011 ◽  
Vol 09 (04) ◽  
pp. 655-673 ◽  
Author(s):  
FUCHENG LIAO ◽  
YUAN YAN TANG ◽  
HEPING LIU ◽  
YUNJIAN WANG
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Design Method ◽  
Original System ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Time Control ◽  
Differentiable Functions ◽  
Continuous Time Systems ◽  
Time Systems

This paper studies the preview control problem for continuous-time control systems. A design method for an optimal preview controller is presented, when the desired tracking and disturbance are piecewise-continuously differentiable functions. Applying the same techniques as for optimal control in linear quadratic optimal control, we derive a type-one servomechanism with both desired tracking preview and disturbance preview compensation. A proof is presented that if the original system is stabilizable and detectable, the closed-loop system is asymptotically stable. We also design a full-dimensional state observer for the considered system. Finally, numerical simulations show the efficiency of the controller.

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