2008
DOI: 10.1016/j.automatica.2008.03.031
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Adaptive control allocation

Abstract: In this work we address the control allocation problem for a nonlinear over-actuated time-varying system where parameters a¢ ne in the e¤ector model may be assumed unknown. Instead of optimizing the control allocation at each time instant, a dynamic approach is considered by constructing update-laws that represent asymptotically optimal allocation search and adaptation. Using Lyapunov analysis for cascaded set-stable systems, uniform global/local asymptotic stability is guaranteed for the sets described by the… Show more

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Cited by 115 publications
(63 citation statements)
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References 18 publications
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“…An adaptive approach where uncertain parameters θ in the effector model h(u, x,t, θ ) are stably adapted using an adaptation law that is designed by augmenting the control Lyapunov-function in a standard way was proposed in (Tjønnås & Johansen 2005, Tjønnås & Johansen 2008). This framework was further extended to dynamically account for actuator dynamics within the control allocation in (Tjønnås & Johansen 2007b, Tjønnås & Johansen 2007a, and internal dynamics in the context of model reference adaptive control (Liao, Lum, Wang & Benosman 2009b, Liao, Lum, Wang & Benosman 2009a).…”
Section: Dynamic Optimum-seeking Methodsmentioning
confidence: 99%
“…An adaptive approach where uncertain parameters θ in the effector model h(u, x,t, θ ) are stably adapted using an adaptation law that is designed by augmenting the control Lyapunov-function in a standard way was proposed in (Tjønnås & Johansen 2005, Tjønnås & Johansen 2008). This framework was further extended to dynamically account for actuator dynamics within the control allocation in (Tjønnås & Johansen 2007b, Tjønnås & Johansen 2007a, and internal dynamics in the context of model reference adaptive control (Liao, Lum, Wang & Benosman 2009b, Liao, Lum, Wang & Benosman 2009a).…”
Section: Dynamic Optimum-seeking Methodsmentioning
confidence: 99%
“…Consider the control law (19). By construction, using (4), (5) and (1) with τ (t) = τ c (t), the derivative ofũ c (t) can be expressed asu…”
Section: B Finite-time Convergencementioning
confidence: 99%
“…Given the exogenous signal w(t), the control law (19), (23)-(24) guarantees thatũ(t) converges toũ c (t) in finite time. In particular, for any initial conditionũ(t ), there exists T > t such that the inputũ(t) driven by the control…”
Section: B Finite-time Convergencementioning
confidence: 99%
See 1 more Smart Citation
“…In [35] an explicit piecewise linear approximate solution is created by using multi parametric programming and solving the optimization problem off-line, while in [32] a yaw stabilization scheme for an automotive vehicle using brakes, based on the dynamic optimizing control allocation approach from [17] and [34] was presented by the authors. This strategy offers the benefits of a modular approach combining convergence and stability properties for yaw rate tracking (high level control), optimality of the allocation problem and adaptation of the averaged maximal tire-road friction parameter.…”
mentioning
confidence: 99%