Robust regulation in the presence of norm-bounded uncertainty

Multiobjective output-feedback control via LMI optimization

“…, we obtain the synthesis LMI given in (43), also shown at the bottom of the page, where (1, 1), (1,2), and (2, 2) refer to the corresponding blocks in (42). Instead of fixing and , we can allow some free parameters in these matrices.…”

“…This section gives a formal statement of the problem and defines the relevant notation. The LTI plant is given by the state-space equations (1) where is the control input, is a vector of exogenous inputs (such as reference signals, disturbance signals, sensor noise), is the measured output, and is a vector of output signals related to the performance of the control system.…”

Robust output regulation for linear systems with structured uncertainty and with unmeasurable controlled output by high gain observer approach

“…Schmitendorf and Barmish (1986) dealt with systems in which the coe cient matrices of their state space representations are known to depend on some uncertain parameters, formulated a robust output regulation problem as one of ® nding controllers such that output regulation occurs for all parameter variations in a given prespeci® ed uncertainty bounding set, and solved the problem for matched systems. The robust output regulation problem in the presence of unstructured but norm bounded uncertainties was studied by Abedor et al (1995). In those contributions, the output to be controlled was assumed to be a part of the measured output.…”

Robust Tool Point Control for Offshore Knuckle Boom Crane

“…a controller can be designed by following the procedure suggested by Abedor et al (1995). Remembering the standards assumptions about P for state-feedback control:…”

“…H ∞ based design approaches for tracking problems has been developed by Abedor et al (1995) and furthermore H ∞ control has successfully been applied to numerous crane control problems. Recent examples are control system design for gantry cranes, presented by Burul et al (2010), controller design for rotary crane, presented by Iwasa et al (2010), and control of an overhead crane by Moradi et al (2009).…”