Name
Abstract | ||
|---|---|---|
A variety of plants with high parametric uncertainties are usually controlled with signals that may assume only a finite number of values, both to simplify actuator's construction and minimize the operation cost. The design of multi-valued control laws which provide a control signal that is discontinuous in time and quantized in magnitude is then of particular interest in many practical applications. This paper presents a new technique for robust control design in order to force a SISO linear plant, subject to disturbances and parametric uncertainties, to track a given sufficiently regular reference trajectory. The proposed approach is based on Lyapunov method and allows designing a control law which guarantees to follow the reference trajectory with prefixed values of the tracking error and of its derivatives up to the n1-th, where n is the order of the plant. Moreover, the control law is quite robust and guarantees the convergence of the error in a prefixed time. The technique is applied to design controllers characterized by control signals that may assume only a finite number of values. In this case, the control law can be seen as a generalization of the traditional relay control laws and of the sliding mode ones, with a relatively low switching frequency. Finally, a simple example shows the advantages of the control law obtained with the proposed design methodology with respect to the classical approaches. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/CDC.2008.4738817 | Cancun |
Keywords | Field | DocType |
Lyapunov methods,control system synthesis,robust control,uncertain systems,Lyapunov method,SISO linear plant,multivalued robust control technique,parametric uncertainties,relay control laws,uncertain systems | Lyapunov function,Mathematical optimization,Computer science,Control theory,Parametric statistics,Adaptive control,Control system,Robust control,Variable structure control,Trajectory,Tracking error | Conference |
ISSN | ISBN | Citations |
0191-2216 E-ISBN : 978-1-4244-3124-3 | 978-1-4244-3124-3 | 1 |
PageRank | References | Authors |
0.38 | 6 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Francesco Calabrese | 1 | 242 | 15.93 |
| Giovanni Celentano | 2 | 1 | 0.38 |