Saturated Control of Linear Systems
Buch in deiner Nähe kaufen
Beschreibung
This book deals with a combination of two main problems for the first time. They are saturation on control and on the rate (or increment) of the control, and the solution of unsymmetrical saturation on the control by LMIs. It treats linear systems in state space form, in both the continuous- and discrete-time domains. Necessary and sufficient conditions are derived for autonomous linear systems with constrained state increment or rate, such that the system evolves respecting incremental or rate constraints if any. A pole assignment technique is then used to solve the problem, giving stabilizing state feedback controllers that respect non-symmetrical constraints on control alone or on both control and its increment or rate. Illustrative examples show the application of these methods on academic examples or on such real plant models as the double integrator system. This problem is then extended to various others including:
- systems with constraints and perturbations;
- singular systems with constrained control;
- systems with unsymmetrical saturations;
- saturated systems with delay, and
- 2-D systems with saturations.
The solutions obtained are of two types:
- necessary and sufficient conditions solved with linear programming techniques; and
- sufficient conditions under LMIs.
A new approach extends existing techniques for dealing with symmetrical saturations to take direct account of unsymmetrical saturations into account with LMIs. This tool enables the authors to obtain new results on continuous- and discrete-time systems. The book uses illustrative examples and figures and provides many comparisons with existing results.
Systems theoreticians interested in multidimensional systems and practitioners working with saturated and constrained controllers will find the research and background presented in Saturated Control of Linear Systemsi> to be of considerable interest in helping them overcome problems with their plant and in stimulating further research.Results can be applied to practical problems using readily available linear-matriz-inequality toolboxes
Enriches understanding of new work in constrained control of saturating systems
Worked examples in each chapter validate the methods describedResults can be applied to practical problems using readily available linear-matriz-inequality toolboxes Enriches understanding of new work in constrained control of saturating systems Worked examples in each chapter validate the methods described Includes supplementary material: sn.pub/extras
Autor*in
Abdellah Benzaouia
Themen in »Saturated Control of Linear Systems«
Constrained Control Asymmetric Saturation Singular Linear Systems Constrained Observers Positive Invariance LMI Linear Matrix Inequality 2-dimensional Systems Delayed Systems