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The proposed controller is designed using Lyapunov's direct method, the popular backstepping and parameter projection techniques.
A parameter projection is used to ensure that the obtained adaptive controller is robust to parasitic resistances.
The proposed controller is scalable and is designed using Lyapunov's direct method and the popular backstepping and parameter projection techniques.
The techniques of nonlinear damping and parameter projection are employed in the design of controllers and parameter estimators, respectively.
In this paper, we address this key issue for discrete-time systems under L2 disturbances using a parameter projection algorithm.
Technically, our scheme is developed from a new piecewise Lyapunov function analysis, the parameter projection and a modified tuning function method.
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Data acquisition parameters: projections 9 × 9, scan time 40 s, sweep width 50 G, microwave power 5 mW, modulation amplitude 2.5 G, gradient field 82 G/cm, room temperature.
The bounds in Figure 8 are the single-parameter projections of the actual bounding sets obtained with Algorithm 1.
The only missing intrinsic parameter, the projection focus, can be easily recovered given αfov, w r and h r.
The main novelty is the construction of the parameter-dependent projection matrix.
The relationship between the E-field and the geometrical parameters (ring projection from end, ring radius and ring tube thickness) is modeled and optimized by the response surface methodology.
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