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Saturated Control of Linear Systems (Hardcover, 1st ed. 2018)
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Saturated Control of Linear Systems (Hardcover, 1st ed. 2018)
Series: Studies in Systems, Decision and Control, 124
Expected to ship within 10 - 15 working days
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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 Systems to be
of considerable interest in helping them overcome problems with
their plant and in stimulating further research.
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