scholarly journals Linear Parameter-Varying (LPV) Buckling Control of an Imperfect Beam-Column Subject to Time-Varying Axial Loads

2017 ◽  
pp. 103-112
Author(s):  
Maximilian Schaeffner ◽  
Roland Platz
Keyword(s):  
Time Varying ◽  
Linear Parameter ◽  
Axial Loads ◽  
Linear Parameter Varying ◽  
Parameter Varying

scholarly journals Average dwell time approach to H∞ filter for continuous-time switched linear parameter varying systems with time-varying delay

2018 ◽  
Vol 233 (1) ◽  
pp. 80-90
Author(s):  
Shenquan Wang ◽  
Wenchengyu Ji ◽  
Yulian Jiang ◽  
Keping Liu
Keyword(s):  
Dwell Time ◽  
Optimal Algorithm ◽  
Average Dwell Time ◽  
Time Varying ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Time Varying Delay ◽  
Parameter Varying ◽  
Varying Delay

Considering two types of delays including both time-varying delay and parameter varying delay in continuous switched linear parameter varying systems, the problem of [Formula: see text] filtering under average dwell time switching is illustrated. The [Formula: see text] filter depending on the linear time-varying parameter [Formula: see text] (mode-dependent parameterized filter) is designed at first. Then, based on multiple Lyapunov function and an improved reciprocally convex inequality, the corresponding existence sufficient conditions for the filter could ensure the obtained filter error system exponentially stable with a guaranteed [Formula: see text] performance in the form of linear matrix inequalities. In addition, the designed filter gains under allowed switching signals are computed via the proposed convex optimal algorithm. In the end, two numerical examples show the effectiveness of the results in this work.

A Two Parameter Robust Linear Parameter Varying Repetitive Control Approach to Variable Speed Electronic CAM Follower Problem

2005 ◽  
Author(s):  
Junqing Wang ◽  
T. C. Tsao
Keyword(s):  
Repetitive Control ◽  
Process Variable ◽  
Time Varying ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Control Approach ◽  
Cam Follower ◽  
Asymptotic Tracking ◽  
Parameter Varying ◽  
Two Parameter

Electronic cam follower motion control is a class of master-slave type mechanism where the slave axis motion must follow the master axis coordinate (process variable) according to a given cam profile while the master axis motion has a time varying speed. Time-domain repetitive control design can be well applied to the electronic cam slave control under constant nominal master’s axis speed. This approach won’t perform well when the master’s axis nominal speed varies, however. Recent research has suggested transforming the slave dynamics into the angle domain. By treating the rotational speed as a parameter which can be measured in real time, the resulting angle domain time varying plant is modeled as an affine linear parameter varying system. A continuous two parameter robust linear parameter varying repetitive controller with modified repetitive signal generator is proposed and compared with the time varying model reference approach. Simulation results show perfect asymptotic tracking performance with piecewise constant parameter profiles and graceful performance degradation with continuously varying parameter profiles.

Fault tolerant control with disturbance estimator for a class of linear parameter varying systems subject to time-varying fault

2019 ◽  
Vol 41 (13) ◽  
pp. 3836-3846 ◽  
Author(s):  
Chunsheng Liu ◽  
Ke Lu ◽  
Jingliang Sun ◽  
Jiao Dai
Keyword(s):  
Fault Tolerant ◽  
Sliding Mode ◽  
External Disturbance ◽  
Fault Tolerant Control ◽  
Lyapunov Theory ◽  
Time Varying ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Parameter Varying ◽  
Disturbance Estimator

This paper proposes a sliding-mode control (SMC) scheme for a class of linear parameter varying (LPV) systems subject to a loss of control effectiveness and external disturbance. The LPV model is transformed into the non-LPV model representation. The updating law for unknown time-varying fault and the disturbance estimator are designed. The novel sliding-mode fault tolerant control (FTC) law is presented by using estimated fault and estimated disturbance to compensate the effects of faults in both cases: the known and the partial known system matrices. The stability analysis of closed-loop system is performed on the Lyapunov theory. The main advantage of the proposed method is to circumvent solving on-line parameter-dependent nonlinear matrix inequalities, also to adapt to the changes of unknown parameter. The feasibility of the approach is illustrated by means of the simulation examples.

scholarly journals Design of State-Feedback Controllers for Linear Parameter Varying Systems Subject to Time-Varying Input Saturation

2019 ◽  
Vol 9 (17) ◽  
pp. 3606
Author(s):  
Adrián Ruiz ◽  
Damiano Rotondo ◽  
Bernardo Morcego
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Loop System ◽  
Feasibility Problem ◽  
Time Varying ◽  
Linear Parameter ◽  
Closed Loop System ◽  
Linear Parameter Varying ◽  
Quadratic Lyapunov Functions ◽  
Parameter Varying

All real-world systems are affected by the saturation phenomenon due to inherent physical limitations of actuators. These limitations should be taken into account in the controller’s design to prevent a possibly severe deterioration of the system’s performance, and may even lead to instability of the closed-loop system. Contrarily to most of the control strategies, which assume that the saturation limits are constant in time, this paper considers the problem of designing a state-feedback controller for a system affected by time-varying saturation limits with the objective to improve the performance. In order to tie variations of the saturation function to changes in the performance of the closed-loop system, the shifting paradigm is used, that is, some parameters scheduled by the time-varying saturations are introduced to schedule the performance criterion, which is considered to be the instantaneous guaranteed decay rate. The design conditions are obtained within the framework of linear parameter varying (LPV) systems using quadratic Lyapunov functions with constant Lyapunov matrices and they consist in a linear matrix inequality (LMI)-based feasibility problem, which can be solved efficiently using available solvers. Simulation results obtained using an illustrative example demonstrate the validity and the main characteristics of the proposed approach.

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