An Inner-Loop Controller Guaranteeing Robust Transient Performance for Uncertain MIMO Nonlinear Systems

An output-feedback controller has been recently proposed that has the following features: 1) it is an inner-loop controller so that it can be added on the existing closed-loop system working in harmony with a pre-designed (possibly non-robust) outer-loop controller; 2) it robustifies the closed-loop...

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Veröffentlicht in:IEEE transactions on automatic control 2009-07, Vol.54 (7), p.1601-1607
Hauptverfasser: BACK, Juhoon, SHIM, Hyungbo
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SHIM, Hyungbo
description An output-feedback controller has been recently proposed that has the following features: 1) it is an inner-loop controller so that it can be added on the existing closed-loop system working in harmony with a pre-designed (possibly non-robust) outer-loop controller; 2) it robustifies the closed-loop system in a way that the uncertain plant under external disturbance behaves like a disturbance-free nominal plant; and 3) it recovers the trajectory of the nominal closed-loop system in time domain. However, it is restricted to the single-input-single-output nonlinear systems. In this technical note, we extend this result for a class of multi-input-multi-output (MIMO) nonlinear systems having the same number of inputs and outputs. The tools used in this synthesis are the singular perturbation theory and the multi-variable circle criterion. An example shows the effectiveness of the proposed method.
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subjects Applied sciences
Centralized control
Circle criterion
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Disturbances
Dynamical systems
Exact sciences and technology
MIMO
Multi-input-multi-output (MIMO)
Nonlinear control systems
Nonlinear dynamics
Nonlinear systems
performance recovery
Robust control
Robust stability
Singular perturbation
Sliding mode control
Synthesis
Transient performance
Uncertainty
title An Inner-Loop Controller Guaranteeing Robust Transient Performance for Uncertain MIMO Nonlinear Systems
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