Constrained H∞ control of gyroscopic ship stabilization systems

2020 ◽  
Vol 234 (3) ◽  
pp. 634-641
Author(s):  
Sina Kuseyri
Keyword(s):  
Time Domain ◽  
Actuator Saturation ◽  
Linear Matrix ◽  
Roll Motion ◽  
Precession Angle ◽  
Stabilization Control ◽  
Wave Disturbances ◽  
Hard Constraints ◽  
Actuator Control ◽  
And Control

We suggest a constrained [Formula: see text] control scheme for gyroscopic marine vehicle stabilization systems with output and control constraints. The [Formula: see text] performance is used to measure the roll angle reduction of the vessel relative to wave disturbances in regular beam seas. Time-domain constraints, representing requirements for precession angle of gyroscopes and for actuator saturation, are captured using the concept of reachable sets and state-space ellipsoids. A state feedback solution to the constrained [Formula: see text] stabilization control problem is proposed in the framework of linear matrix inequality optimization and multiobjective control. This approach can potentially achieve the best possible vessel comfort with respect to roll motion by allowing constrained variables free as long as they remain within given bounds. Analysis and simulation results for roll dynamics of the vessel coupled with the gyroscopic actuator control system show possible improvements on roll motion stabilization while respecting time-domain hard constraints.

Application of Constrained H∞ Control to Active Suspension Systems on Half-Car Models

2004 ◽  
Vol 127 (3) ◽  
pp. 345-354 ◽  
Author(s):  
H. Chen ◽  
Z. -Y. Liu ◽  
P. -Y. Sun
Keyword(s):  
Ride Comfort ◽  
Active Suspension ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Actuator Dynamics ◽  
Lmi Optimization ◽  
Suspension Systems ◽  
Active Suspension Systems ◽  
Hard Constraints ◽  
And Control

This paper formulates the active suspension control problem as disturbance attenuation problem with output and control constraints. The H∞ performance is used to measure ride comfort such that more general road disturbances can be considered, while time-domain hard constraints are captured using the concept of reachable sets and state-space ellipsoids. Hence, conflicting requirements are specified separately and handled in a nature way. In the framework of Linear Matrix Inequality (LMI) optimization, constrained H∞ active suspensions are designed on half-car models with and without considering actuator dynamics. Analysis and simulation results show a promising improvement on ride comfort, while keeping suspension strokes and control inputs within bounds and ensuring a firm contact of wheels to road.

Robust mixed H2/H∞ fuzzy tracking control of photovoltaic system subject to asymmetric actuator saturation

2021 ◽  
pp. 014233122110521
Author(s):  
Noureddine Boubekri ◽  
Sofiane Doudou ◽  
Dounia Saifia ◽  
Mohammed Chadli
Keyword(s):  
Actuator Saturation ◽  
Atmospheric Condition ◽  
Maximum Power ◽  
Photovoltaic System ◽  
Attraction Domain ◽  
Duty Ratio ◽  
Linear Matrix ◽  
Maximum Power Point ◽  
Power Extraction ◽  
Power Point

This paper focuses on mixed [Formula: see text] fuzzy maximum power point tracking (MPPT) of photovoltaic (PV) system under asymmetric saturation and variations in climatic conditions. To maximize the power from the PV panel array, the DC–DC boost converter is controlled by its duty ratio which is practically saturated between 0 and 1. MPPT based on conventional control presents the problems of oscillations around maximum power point (MPP) and divergence under rapid climatic changes. In order to attenuate the effect of atmospheric condition variation and take into account asymmetric saturation of the duty ratio, we propose a novel robust saturated controller based on both [Formula: see text] performances and Takagi-Sugeno (T-S) representation of PV-boost nonlinear system. Within this approach, the nonlinear PV-boost system and its reference are first described by T-S fuzzy models. Second, the saturation effect is represented by a polytopic model. Then, a fuzzy integral state feedback controller is designed to achieve stable MPPT control. Based on Lyapunov function, the mixed [Formula: see text] stabilization conditions are derived in terms of linear matrix inequalities (LMIs). The optimization of the attraction domain of closed-loop system is solved as a convex optimization problem in LMI terms. Finally, the efficiency of the proposed controller under irradiance and temperature variations is demonstrated through the simulation results. The comparison with some existing controllers shows an improvement of MPPT control performance in terms of power extraction.

Simultaneous Fault Detection and Control for Continuous-Time Switched T-S Fuzzy Systems with State Jumps

2021 ◽  
Author(s):  
Ayyoub Ait Ladel ◽  
Abdellah Benzaouia ◽  
Rachid Outbib ◽  
Mustapha Ouladsine
Keyword(s):  
Fault Detection ◽  
Fuzzy Systems ◽  
Degrees Of Freedom ◽  
Average Dwell Time ◽  
Single Step ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Robust Detection ◽  
And Control ◽  
Detector Design

Abstract This paper addresses the simultaneous fault detection and control (SFDC) issue for switched T-S fuzzy systems with state jumps. The main objective is to design robust detection filters and observer-based controllers to stabilize this system class and, at the same time, detect the presence of faults. Less conservative stability conditions are developed, applying the mode-dependent average dwell time (MDADT) concept, the robust H_{\infty} approach, and the piecewise Lyapunov function (PLF) technique. Based on these conditions, the integrated controller and detector design is formalized in the form of linear matrix inequalities (LMI) instead of bilinear matrix inequalities (BMI). The proposed LMIs determine the controller/ detector gains simultaneously in a single step, thus offering more degrees of freedom in the design. Finally, a numerical example and two real systems examples are studied to prove the applicability and effectiveness of the obtained results.

scholarly journals Temporal design for additive manufacturing

2020 ◽  
Vol 106 (9-10) ◽  
pp. 3849-3857
Author(s):  
S. Saliba ◽  
J. C. Kirkman-Brown ◽  
L. E. J. Thomas-Seale
Keyword(s):  
Additive Manufacturing ◽  
Time Domain ◽  
Processing Parameters ◽  
Software Pipeline ◽  
Novel Approach ◽  
Knowledge Propagation ◽  
End Use ◽  
The Time Domain ◽  
And Control ◽  
Design For Am

AbstractAdditive manufacturing (AM) is expected to generate huge economic revenue by 2025; however, this will only be realised by overcoming the barriers that are preventing its increased adoption to end-use parts. Design for AM (DfAM) is recognised as a multi-faceted problem, exasperated by constraints to creativity, knowledge propagation, insufficiencies in education and a fragmented software pipeline. This study proposes a novel approach to increase the creativity in DfAM. Through comparison between DfAM and in utero human development, the unutilised potential of design through the time domain was identified. Therefore, the aim of the research is to develop a computer-aided manufacturing (CAM) programme to demonstrate design through the time domain, known as Temporal DfAM (TDfAM). This was achieved through a bespoke MATLAB code which applies a linear function to a process parameter, discretised across the additive build. TDfAM was demonstrated through the variation of extrusion speed combined with the infill angle, through the axial and in-plane directions. It is widely accepted in the literature that AM processing parameters change the properties of AM materials. Thus, the application of the TDfAM approach offers the engineer increased creative scope and control, whilst inherently upskilling knowledge, in the design of AM materials.

scholarly journals Stabilization of Discrete-Time Delayed Systems in Presence of Actuator Saturation Based on Wirtinger Inequality

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
Vipin Chandra Pal ◽  
Richa Negi ◽  
Quanxin Zhu
Keyword(s):  
Discrete Time ◽  
Actuator Saturation ◽  
Convex Combination ◽  
Optimization Procedure ◽  
Linear Matrix ◽  
Delayed Systems ◽  
Delay Bound ◽  
Wirtinger Inequality ◽  
Time Control ◽  
Time Problem

This paper examines the stability analysis of discrete-time control systems particularly during the event of actuator saturation and time-varying state delay. With the help of Wirtinger inequality along with Lyapunov-Krasovskii functional gain of state feedback controller is determined for stabilization of above system. The saturation nonlinearity is represented in the terms of convex hull. A new linear matrix inequality (LMI) criterion is settled with reciprocally convex combination based inequality which is dependent on delay. The proposed criterion is less conservative in concern to increase the delay bound and a controller is also simulated for real time problem of missile control system in this paper. It is also attained that projected stability criterion is less conservative compared to other outcomes. Furthermore, an optimization procedure together with LMI constraints has been proposed to maximize the attraction of domain.

scholarly journals Role of Type and Volume of Recreational Physical Activity on Heart Rate Variability in Men

2020 ◽  
Vol 17 (8) ◽  
pp. 2719 ◽  
Author(s):  
Shaea Alkahtani ◽  
Andrew A. Flatt ◽  
Jawad Kanas ◽  
Abdulaziz Aldyel ◽  
Syed Shahid Habib
Keyword(s):  
Physical Activity ◽  
Heart Rate ◽  
Time Domain ◽  
Active Group ◽  
Control Groups ◽  
Rr Intervals ◽  
The Mean ◽  
And Control ◽  
Arab Men ◽  
Frequency Power

The aim of this study was to investigate the effect of recreational aerobic physical activity (PA) type and volume on heart rate variability (HRV) in Arab men. This was a retrospective, cross-sectional study, and included men (n = 75, age = 37.6 ± 7.1 years, body mass index (BMI) = 26.7 ± 3.1 kg/m2) who were members of a walking group, cycling group, or were inactive controls. Monthly distances from the past three months were obtained from walking and cycling groups, and the volume of PA was classified into three subgroups (high, moderate, low). HRV was measured using a computerized electrocardiographic data acquisition device. R–R interval recordings were performed while participants rested in a motionless supine position. RR intervals were recorded for 15 minutes, and a five-minute segment with minimal ectopic beats and artifacts was selected for HRV analysis. Time-domain parameters included the mean R–R interval, standard deviation of the mean R–R interval (SDNN), and root-mean-squared difference of successive RR intervals (RMSSD). The frequency-domain parameters included high-frequency power (HF), low-frequency power (LF), and LF to HF ratio (LF/HF). Results showed that there were no significant differences between walking, cycling, and control groups for all HRV parameters. Time-domain analyses based on PA volume showed that age-adjusted SDNN for the high-active group was greater than the low-active group (P = 0.03), and RMSSD for the moderate-active group was greater than the control group (P = 0.009). For the frequency domain, LF for the high-active group was greater than the low-active and control groups (P = 0.006), and HF for the moderate-active group was greater than the low-active group (P = 0.04). These data indicate that walking >150 km per month, or cycling >100 km per month at a speed >20 km/h may be necessary to derive cardiac autonomic benefits from PA among Arab men.

scholarly journals A Time Domain Passivity Control Scheme for Bilateral Teleoperation

Electronics ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 325 ◽  
Author(s):  
Long Sheng ◽  
Usman Ahmad ◽  
Yongqiang Ye ◽  
Ya-Jun Pan
Keyword(s):  
Time Domain ◽  
Parametric Design ◽  
Switching Time ◽  
Experimental Results ◽  
Division Problem ◽  
Bilateral Teleoperation ◽  
Safe Operation ◽  
Guaranteed Stability ◽  
Control Scheme ◽  
And Control

Conventional time domain passivity control inevitably embodies division. Zero division can occur under a tiny force or velocity, which may be inevitable, and will be the cause of control crash. To avoid the zero division problem and control crash, we propose a switching dissipation controller for guaranteed stability. The parametric design of the proposed approach is discussed. The switching time domain passivity control is then applied to teleoperation and safe operation is achieved. Simulation and experimental results are demonstrated to validate the effectiveness of the proposed control scheme.

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