Predictive Control of Linear Stationary Stochastic Systems with Constraints

2011 ◽  
Vol 403-408 ◽  
pp. 4949-4956
Author(s):  
Enes Saletović ◽  
Tadej Mateljan
Keyword(s):  
Control Problem ◽  
Predictive Control ◽  
Stochastic Systems ◽  
Single Input Single Output ◽  
Active Constraints ◽  
Single Output ◽  
Universal Solution ◽  
Single Input ◽  
Siso Systems

Within the frame of this work, the problem of control of LSS (Linear Stationary Stochastic) SISO (Single Input Single Output) systems with active constraints at input and/or output has been researched. Motivation to solving this problem comes from the fact that there is no universal solution to the problem even LSS SISO systems with constraints are very common in practice. Defined control problem is solved using characteristics of LSS SISO systems and square forms. Considering that such systems are very common in practice, created solution would be widely applicable.

scholarly journals Adaptive Moving Sliding Mode Control for SISO Systems: Application to an Electropneumatic System

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Assil Ayadi ◽  
Soufien Hajji ◽  
Mohamed Smaoui ◽  
Abdessattar Chaari
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Sliding Surface ◽  
External Disturbances ◽  
Single Input Single Output ◽  
Mode Control ◽  
Single Output ◽  
Single Input ◽  
Electropneumatic System ◽  
Siso Systems

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.

Construction of a Set of Nonovershooting Tracking Controllers

2004 ◽  
Vol 126 (3) ◽  
pp. 558-567 ◽  
Author(s):  
Matt Bement ◽  
Suhada Jayasuriya
Keyword(s):  
Practical Importance ◽  
Step Function ◽  
Nonminimum Phase ◽  
Single Input Single Output ◽  
Single Output ◽  
Nonminimum Phase Systems ◽  
Tracking Controllers ◽  
Single Input ◽  
Phase Systems ◽  
Siso Systems

The problem of tracking a known reference without overshooting is of great practical importance in a number of applications. However, nonminimum phase systems and systems with reference inputs other than steps have received very little attention. This paper proposes two different techniques for obtaining a continuous time, nonovershooting, feedback controller for a wide variety of linear single input, single output (SISO) systems, including nonminimum phase systems and systems whose reference input is something other than a step function. These techniques are then used to generate an initial nonovershooting controller from which a set of nonovershooting controllers is obtained. Examples are given to demonstrate all key concepts.

The Use of Multibody System Modeling and Multivariable System Decoupling Techniques in Vehicle Ride Control

1999 ◽  
Vol 121 (3) ◽  
pp. 479-486 ◽  
Author(s):  
A. S. Cherry ◽  
R. P. Jones ◽  
T. E. C. Potter
Keyword(s):  
Multibody System ◽  
System Modeling ◽  
Analytical Techniques ◽  
Equivalence Transformation ◽  
Single Input Single Output ◽  
Single Output ◽  
Modal Damping ◽  
Ride Control ◽  
Single Input ◽  
Siso Systems

This paper describes the use of realistic analytical techniques to address automotive ride control. Multibody system (MBS) modeling techniques were used to develop a full vehicle model with suspension system representation, which was subsequently validated against experimental data. The resultant multivariable ride control problem was then decoupled in the frequency domain by the application of equivalence transformation techniques. It is shown that diagonalization can be achieved for the range of primary ride frequencies, and that the decoupled system then consists of three single-input/single-output (SISO) systems, one for each of the sprung mass modes. Finally, feedback control design for each sprung mass mode loop is illustrated by the application of modal damping.

scholarly journals Sliding Mode Control Design for a Class of SISO Systems with Uncertain Sliding Surface

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Guofeng Wang ◽  
Kai Zheng ◽  
Xingcheng Wang ◽  
Shuanghe Yu
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Single Input Single Output ◽  
Mode Control ◽  
Single Output ◽  
Single Input ◽  
Phase Design ◽  
Invariant Transformation ◽  
Siso Systems

The problem of designing a sliding mode controller with uncertain sliding surface for a class of uncertain single-input-single-output systems is studied. The design case is handled by using the invariant transformation first in order to separate the sliding mode and the reaching mode of the sliding mode control system. It is shown that the sliding mode design needs not to consider the uncertainties of the sliding surface, which can be handled in the reaching phase design. The results generalize the robust design of the reaching phase such that one specific reaching phase design may agree with several sliding surfaces.

Multi-dimensional Taylor network adaptive predictive control for single-input single-output nonlinear systems with input time-delay

2021 ◽  
pp. 014233122110402
Author(s):  
Chen-Long Li ◽  
Hong-Sen Yan ◽  
Jiao-Jun Zhang
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Predictive Control ◽  
Tracking Control ◽  
Recursive Least Squares ◽  
Single Input Single Output ◽  
Single Output ◽  
Single Input ◽  
Input Time ◽  
Adaptive Predictive Control

In this study, an adaptive predictive control approach based on the multi-dimensional Taylor network (MTN) is proposed for the real-time tracking control of single-input single-output nonlinear systems with input time-delay. Two MTNs are used to implement the accurate tracking control. First, to compensate for the influence of time-delay, MTN is taken as a predictor and the damped recursive least squares algorithm is used as its online learning algorithm. Second, a feed-forward MTN controller is developed on the basis of the proportional–integral–derivative controller, and the closed-loop errors between the reference input and the system output are directly chosen to be the MTN controller’s inputs. The back propagation algorithm is introduced for its learning which can update its weights online at stable learning rate by the errors caused by the system’s uncertain factors. Convergence and stability analysis are given to guarantee the performance of our proposed approach. Finally, two examples are given to verify the effectiveness of the proposed approach.

scholarly journals Model predictive control of room temperature with disturbance compensation

2017 ◽  
Vol 68 (4) ◽  
pp. 312-317
Author(s):  
Jozef Kurilla ◽  
Peter Hubinský
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Room Temperature ◽  
Disturbance Compensation ◽  
Computing Power ◽  
Single Input Single Output ◽  
Single Output ◽  
Single Input ◽  
Weighting Coefficients ◽  
Occupancy Profile

AbstractThis paper deals with temperature control of multivariable system of office building. The system is simplified to several single input-single output systems by decoupling their mutual linkages, which are separately controlled by regulator based on generalized model predictive control. Main part of this paper focuses on the accuracy of the office temperature with respect to occupancy profile and effect of disturbance. Shifting of desired temperature and changing of weighting coefficients are used to achieve the desired accuracy of regulation. The final structure of regulation joins advantages of distributed computing power and possibility to use network communication between individual controllers to consider the constraints. The advantage of using decoupled MPC controllers compared to conventional PID regulators is demonstrated in a simulation study.

Indirect Adaptive Fuzzy H∞ Tracking Control with Self-Structuring Algorithm for a Class of Uncertain Nonlinear SISO Systems

2013 ◽  
Vol 756-759 ◽  
pp. 622-626
Author(s):  
Sen Xu ◽  
Zhang Quan Wang ◽  
You Rong Chen ◽  
Ban Teng Liu ◽  
Lu Yao Xu
Keyword(s):  
Fuzzy Controller ◽  
Controller Design ◽  
Pendulum System ◽  
Single Input Single Output ◽  
Adaptive Fuzzy ◽  
Single Output ◽  
Inverted Pendulum System ◽  
Single Input ◽  
Indirect Adaptive Fuzzy Controller ◽  
Siso Systems

Indirect adaptive fuzzy controller with a self-structuring algorithm is proposed in this paper to achieve tracking performance for a class of uncertain nonlinear single-input single-output (SISO) systems with external disturbances. Selecting membership functions and the fuzzy rules are difficult in fuzzy controller design. As a result, self-structuring algorithm is used in this paper, which simplifies the design of fuzzy controller. Lyapunov analysis is used to prove asymptotic stability of the proposed approach. Application of the proposed control scheme to a second-order inverted pendulum system demonstrates the effectiveness of the proposed approach.

Sign in / Sign up

Export Citation Format

Share Document