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.

Use of State Feedback to Achieve a Nonovershooting Step Response for a Class of Nonminimum Phase Systems

2004 ◽  
Vol 126 (3) ◽  
pp. 657-660 ◽  
Author(s):  
Matt Bement ◽  
Suhada Jayasuriya
Keyword(s):  
State Feedback ◽  
Practical Importance ◽  
Invariant Set ◽  
Step Response ◽  
Nonminimum Phase ◽  
Great Practical Importance ◽  
Nonminimum Phase Systems ◽  
Phase Systems ◽  
Siso Systems ◽  
Placement Technique

The problem of tracking a known reference without overshooting is of great practical importance in a number of applications. However, nonminimum phase systems have received little attention in connection with obtaining a nonovershooting response. Using state feedback, this paper develops an eigenvector placement technique to construct an invariant set which guarantees a nonovershooting step response for a class of nonminimum phase SISO systems.

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.

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.

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.

scholarly journals Generalized Minimum Variance Control for MDOF Structures under Earthquake Excitation

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Lakhdar Guenfaf ◽  
Mohamed Azira
Keyword(s):  
Control Method ◽  
Minimum Variance ◽  
Soil Parameters ◽  
Seismic Excitations ◽  
Earthquake Excitation ◽  
Single Input Single Output ◽  
Control Approach ◽  
Single Output ◽  
Single Input ◽  
Siso Systems

Control of a multi-degree-of-freedom structural system under earthquake excitation is investigated in this paper. The control approach based on the Generalized Minimum Variance (GMV) algorithm is developed and presented. Our approach is a generalization to multivariable systems of the GMV strategy designed initially for single-input-single-output (SISO) systems. Kanai-Tajimi and Clough-Penzien models are used to generate the seismic excitations. Those models are calculated using the specific soil parameters. Simulation tests using a 3DOF structure are performed and show the effectiveness of the control method.

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.

Output-Driven Minimal Controller Synthesis with an Adaptive Observer

1996 ◽  
Vol 210 (2) ◽  
pp. 131-139 ◽  
Author(s):  
K I Aziz ◽  
M Thomson
Keyword(s):  
Prior Knowledge ◽  
Output Feedback ◽  
Control Structure ◽  
Output Feedback Control ◽  
Controller Synthesis ◽  
Adaptive Observer ◽  
Single Input Single Output ◽  
Single Output ◽  
Single Input ◽  
Siso Systems

This paper describes how the minimal controller synthesis (MCS) algorithm is combined with the minimal observer synthesis (MOS) algorithm to produce an output feedback control structure in which no prior knowledge of plant state parameters is required. While the principal results relate to single-input single-output (SISO) systems, extensions to a particular class of multi-variable systems is discussed. Implementation and simulation examples are included to illustrate the effectiveness of the proposed scheme.

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