7,293 research outputs found
Discrete-time integral MRAC with minimal controller synthesis and parameter projection
Model reference adaptive controllers with Minimal Control Synthesis are effective control algorithms to guarantee asymptotic convergence of the tracking error to zero not only for disturbance-free uncertain linear systems, but also for highly nonlinear plants with unknown parameters, unmodeled dynamics and subject to perturbations. However, an apparent drift in adaptive gains may occasionally arise, which can eventually lead to closed-loop instability. In this paper, we address this key issue for discrete-time systems under L-2 disturbances using a parameter projection algorithm. A consistent proof of stability of all the closed-loop signals is provided, while tracking error is shown to asymptotically converge to zero. We also show the applicability of the adaptive algorithm for digitally controlled continuous-time plants. The proposed algorithm is numerically validated taking into account a discrete-time LTI system subject to parameter uncertainty, parameter variations and L-2 disturbances. Finally, as a possible engineering application of this novel adaptive strategy, the control of a highly nonlinear electromechanical actuator is considered. (C) 2015 The Franldin Institute. Published by Elsevier Ltd. All rights reserved.Postprint (author's final draft
RISE-Based Integrated Motion Control of Autonomous Ground Vehicles With Asymptotic Prescribed Performance
This article investigates the integrated lane-keeping and roll control for autonomous ground vehicles (AGVs) considering the transient performance and system disturbances. The robust integral of the sign of error (RISE) control strategy is proposed to achieve the lane-keeping control purpose with rollover prevention, by guaranteeing the asymptotic stability of the closed-loop system, attenuating systematic disturbances, and maintaining the controlled states within the prescribed performance boundaries. Three contributions have been made in this article: 1) a new prescribed performance function (PPF) that does not require accurate initial errors is proposed to guarantee the tracking errors restricted within the predefined asymptotic boundaries; 2) a modified neural network (NN) estimator which requires fewer adaptively updated parameters is proposed to approximate the unknown vertical dynamics; and 3) the improved RISE control based on PPF is proposed to achieve the integrated control objective, which analytically guarantees both the controller continuity and closed-loop system asymptotic stability by integrating the signum error function. The overall system stability is proved with the Lyapunov function. The controller effectiveness and robustness are finally verified by comparative simulations using two representative driving maneuvers, based on the high-fidelity CarSim-Simulink simulation
A Stability Analysis for the Acceleration-based Robust Position Control of Robot Manipulators via Disturbance Observer
This paper proposes a new nonlinear stability analysis for the
acceleration-based robust position control of robot manipulators by using
Disturbance Observer (DOb). It is shown that if the nominal inertia matrix is
properly tuned in the design of DOb, then the position error asymptotically
goes to zero in regulation control and is uniformly ultimately bounded in
trajectory tracking control. As the bandwidth of DOb and the nominal inertia
matrix are increased, the bound of error shrinks, i.e., the robust stability
and performance of the position control system are improved. However, neither
the bandwidth of DOb nor the nominal inertia matrix can be freely increased due
to practical design constraints, e.g., the robust position controller becomes
more noise sensitive when they are increased. The proposed stability analysis
provides insights regarding the dynamic behavior of DOb-based robust motion
control systems. It is theoretically and experimentally proved that
non-diagonal elements of the nominal inertia matrix are useful to improve the
stability and adjust the trade-off between the robustness and noise
sensitivity. The validity of the proposal is verified by simulation and
experimental results.Comment: 9 pages, 9 figures, Journa
Integral MRAC with Minimal Controller Synthesis and bounded adaptive gains: The continuous-time case
Model reference adaptive controllers designed via the Minimal Control Synthesis (MCS) approach are a viable solution to control plants affected by parameter uncertainty, unmodelled dynamics, and disturbances. Despite its effectiveness to impose the required reference dynamics, an apparent drift of the adaptive gains, which can eventually lead to closed-loop instability or alter tracking performance, may occasionally be induced by external disturbances. This problem has been recently addressed for this class of adaptive algorithms in the discrete-time case and for square-integrable perturbations by using a parameter projection strategy [1]. In this paper we tackle systematically this issue for MCS continuous-time adaptive systems with integral action by enhancing the adaptive mechanism not only with a parameter projection method, but also embedding a s-modification strategy. The former is used to preserve convergence to zero of the tracking error when the disturbance is bounded and L2, while the latter guarantees global uniform ultimate boundedness under continuous L8 disturbances. In both cases, the proposed control schemes ensure boundedness of all the closed-loop signals. The strategies are numerically validated by considering systems subject to different kinds of disturbances. In addition, an electrical power circuit is used to show the applicability of the algorithms to engineering problems requiring a precise tracking of a reference profile over a long time range despite disturbances, unmodelled dynamics, and parameter uncertainty.Postprint (author's final draft
Tracking Control for FES-Cycling based on Force Direction Efficiency with Antagonistic Bi-Articular Muscles
A functional electrical stimulation (FES)-based tracking controller is
developed to enable cycling based on a strategy to yield force direction
efficiency by exploiting antagonistic bi-articular muscles. Given the input
redundancy naturally occurring among multiple muscle groups, the force
direction at the pedal is explicitly determined as a means to improve the
efficiency of cycling. A model of a stationary cycle and rider is developed as
a closed-chain mechanism. A strategy is then developed to switch between muscle
groups for improved efficiency based on the force direction of each muscle
group. Stability of the developed controller is analyzed through Lyapunov-based
methods.Comment: 8 pages, 4 figures, submitted to ACC201
Nonlinear Receding-Horizon Control of Rigid Link Robot Manipulators
The approximate nonlinear receding-horizon control law is used to treat the
trajectory tracking control problem of rigid link robot manipulators. The
derived nonlinear predictive law uses a quadratic performance index of the
predicted tracking error and the predicted control effort. A key feature of
this control law is that, for their implementation, there is no need to perform
an online optimization, and asymptotic tracking of smooth reference
trajectories is guaranteed. It is shown that this controller achieves the
positions tracking objectives via link position measurements. The stability
convergence of the output tracking error to the origin is proved. To enhance
the robustness of the closed loop system with respect to payload uncertainties
and viscous friction, an integral action is introduced in the loop. A nonlinear
observer is used to estimate velocity. Simulation results for a two-link rigid
robot are performed to validate the performance of the proposed controller.
Keywords: receding-horizon control, nonlinear observer, robot manipulators,
integral action, robustness
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