<p>The design of a reliable <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> adaptive controller is considered for nonlinear multi-agent systems (MASs) with various actuator faults. A backstepping method combined with command and compensated filters is used for designing the reliable <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> adaptive controller. This will lead to less computational complexity caused by repetitive signal derivatives in a traditional backstepping method. Based on the availability or non-availability of redundant actuators, two types of reliable <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> adaptive controllers are designed for nonlinear MASs with or without redundant actuators. Two practical examples are given at the end of this study to illustrate the theoretical developments.</p>

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Reliable \(H_{\infty }\) Adaptive Control of Nonlinear Multi-agent Systems with Practical Examples

  • ALI Abdullah

摘要

The design of a reliable \(H_{\infty }\) H adaptive controller is considered for nonlinear multi-agent systems (MASs) with various actuator faults. A backstepping method combined with command and compensated filters is used for designing the reliable \(H_{\infty }\) H adaptive controller. This will lead to less computational complexity caused by repetitive signal derivatives in a traditional backstepping method. Based on the availability or non-availability of redundant actuators, two types of reliable \(H_{\infty }\) H adaptive controllers are designed for nonlinear MASs with or without redundant actuators. Two practical examples are given at the end of this study to illustrate the theoretical developments.