Adaptive switching supervisory control of nonlinear systems with no prior knowledge of noise bounds

Angeli, David; Mosca, E.

doi:10.1016/j.automatica.2003.12.001

Cited by 28 publications

(2 citation statements)

References 26 publications

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“…[12], and bounded-input bounded-state behavior, e.g. [3] and [4]; however, a priori knowledge of suitable Lyapunov functions is required as part of the controller. In all of these approaches, a linear-like convolution bound on the closed-loop behavior is not proven.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Tracking and Linear-Like Behavior Using Multi-Model Adaptive Control

Shahab

Miller

2022

IEEE Trans. Automat. Contr.

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In this paper, we consider the problem of tracking for a discrete-time plant with unknown plant parameters; we assume knowledge of an upper bound on the plant order, and for each admissible order we assume knowledge of a compact set in which the plant parameters lie. We carry out parameter estimation of an associated auxiliary model; indeed, for each admissible dimension, we cover the set of admissible parameters by a finite number of compact and convex sets and use an originalprojection-algorithm-based estimator for each set. At each point in time, we employ a switching algorithm to determine which model and parameter estimates are used in the poleplacement-based control law. We prove that this adaptive controller guarantees desirable linear-like closed-loop behavior: exponential stability, a bounded noise gain in every p-norm, a convolution bound on the effect of the exogenous inputs, as well as exponential tracking for certain classes of reference and noise signals; this linear-like behavior is leveraged to immediately show tolerance to a degree of plant time-variations and unmodelled dynamics.

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Section: Introductionmentioning

confidence: 99%

Asymptotic Tracking and Linear-Like Behavior Using Multi-Model Adaptive Control

Shahab

Miller

2022

IEEE Trans. Automat. Contr.

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“…However, it is found that in most of the cases, 29 one type of controller gives the optimum result for some types of performance measures but may not be optimum for the rest. 30,31 In such cases, the adaptive control strategy is useful, to stabilize the system even in the presence of parametric uncertainties and disturbance, while any of controller even fails also. This carried out by assigning the appropriate weight to respective candidate controller to get desired or optimum performance.…”

Section: Introductionmentioning

confidence: 99%

Design and implementation of adaptive control logic for cart-inverted pendulum system

Hanwate

Hote

Budhraja

2018

Proceedings of the Institution of Mechanical Engineers, Part I:

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In this article, an adaptive control logic is proposed to serve as a supervisory control system sufficient to curb the adverse effects due to modelling uncertainties and external disturbances. The control logic belongs to the class of adaptive control methodologies. The attractive attribute of this technique is that only the superior features of each individual candidate controller are obtained by applying appropriate weight to these controllers. In order to prove its effectiveness and applicability, the benchmark problem for stabilization of cart-inverted pendulum system is carried out using this technique. The system performance is tried against that with each individual candidate controllers existing techniques. In addition, the simulation-based analysis is strengthened by analysing the performance of a real-time cart-inverted pendulum system setup, stabilized using the proposed control logic.

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Supervisory control of switched nonlinear systems

Battistelli

Hespanha

Tesi

2012

Adaptive Control & Signal

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SUMMARYThe objective of this paper is to describe recent progress in the field of hybrid control of nonlinear systems. We address the problem of controlling a nonlinear dynamical process by means of a hybrid controller combining continuous dynamics with discrete logics, the latter used to switch, from time to time, between several continuous control laws. The hybrid control system considered in this paper relies on the use of a switching logic, which generates online and in a fully adaptive fashion, ‘sliding windows’ of the monitoring signals used to select the control action. It is shown that, under suitable conditions, the resulting supervisory control scheme ensures ‐induced gain to the disturbance‐to‐state map, whether the process dynamics are constant or not. Copyright © 2012 John Wiley & Sons, Ltd.

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Adaptive switching supervisory control of nonlinear systems with no prior knowledge of noise bounds

Cited by 28 publications

References 26 publications

Asymptotic Tracking and Linear-Like Behavior Using Multi-Model Adaptive Control

Asymptotic Tracking and Linear-Like Behavior Using Multi-Model Adaptive Control

Design and implementation of adaptive control logic for cart-inverted pendulum system

Supervisory control of switched nonlinear systems

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