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Proceedings ArticleDOI

Robust universal servomechanisms with improved transient performance

TLDR
The design of a robust continuous sliding mode controller that achieves asymptotic tracking and disturbance rejection for a class of nonlinear systems is considered, and both regional as well as semi-global results for error convergence are given.
Abstract
We consider the design of a robust continuous sliding mode controller (CSMC) that achieves asymptotic tracking and disturbance rejection for a class of nonlinear systems. Previous work has shown how to do this by incorporating a linear servo-compensator in the sliding mode design, but the asymptotic tracking is usually achieved at the cost of poor transient performance (compared to ideal SMC). Extending previous ideas from the design of "conditional integrators" for the restricted regulation problem in the presence of constant disturbances, we design the servo-compensator as a conditional one that provides servo-compensation only inside the boundary layer; achieving asymptotic tracking, but with improved transient performance. We give both regional as well as semi-global results for error convergence, and show that the controller can be tuned to recover the performance of an ideal SMC.

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Citations
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Proceedings ArticleDOI

Lyapunov Redesign Approach for Robust Output Regulation of a Class of Autonomous Underwater Vehicles using Conditional Servocompensator

TL;DR: In this paper, a robust output feedback Sliding Mode Control (SMC) is designed employing Extended High Gain Observer to achieve semi-global asymptotic stabilization of the internal state.
References
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Journal ArticleDOI

Robust servomechanism output feedback controllers for feedback linearizable systems

TL;DR: A single-input-single-output nonlinear system which has a uniform relative degree equal to the dimension of the state vector and a robust state feedback control designed to drive the error to a positively invariant set that contains the origin is considered.
Journal ArticleDOI

On a robust nonlinear servomechanism problem

TL;DR: A transmission zeros condition is given for the existence of a kth-order robust control law such that, regardless of small parameter perturbations of the plant and control law, the closed-loop system will induce a stable invariant manifold with the error map zero up to kth -order at each point of the manifold.
Journal ArticleDOI

Universal integral controllers for minimum-phase nonlinear systems

TL;DR: This work designs an output feedback integral controller that asymptotically regulates the output to a bounded time-varying reference signal with a constant limit and shows that, for relative degree one and two systems, the proposed integral controller reduces to the classical PI and PID controllers.
Journal ArticleDOI

On the design of robust servomechanisms for minimum phase nonlinear systems

TL;DR: In this paper, a linear servo compensator is used to achieve asymptotic tracking and disturbance rejection in a single-input single-output (SISO) nonlinear system.
Proceedings ArticleDOI

On introducing integral action in sliding mode control

TL;DR: This paper shows how to introduce integral action in such a way as to recover the transient performance of ideal SMC while achieving zero steady-state error, both regional as well as global results.
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