Abstract
This paper considers the standard input-to-state stability (ISS) inequality for discrete-time
nonlinear systems, which involves a candidate Lyapunov function (LF) and a supply function that
dictates the ISS gain of the system. To reduce conservatism, a set of parameters is assigned to both
the LF and the supply function. A set-valued map, which generates admissible sets of parameters for
each state and input, is defined such that the corresponding parameterized LF and supply function enjoy the standard ISS inequality. It is demonstrated that the so-obtained parameterized ISS inequality offers non-conservative analysis conditions, even when LFs and supply functions with a particular structure, such as quadratic forms, are considered. For bounded inputs, it is then shown how parameterized ISS inequalities can be used to synthesize a closed-loop system with an optimized envelope of trajectories. An implementation method based on receding horizon optimization is proposed, along with a recursive feasibility and complexity analysis. The advances provided by the proposed synthesis methodology are illustrated for a continuous stirred tank reactor.
Original language | English |
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Title of host publication | Preprints of the 18th IFAC World Congress, August 28 - September 02, 2011, Milano, Italy |
Pages | 172-178 |
DOIs | |
Publication status | Published - 2011 |
Event | 18th World Congress of the International Federation of Automatic Control (IFAC 2011 World Congress) - Milano, Italy Duration: 28 Aug 2011 → 2 Sep 2011 Conference number: 18 http://www.ifac2011.org/ |
Conference
Conference | 18th World Congress of the International Federation of Automatic Control (IFAC 2011 World Congress) |
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Abbreviated title | IFAC 2011 |
Country/Territory | Italy |
City | Milano |
Period | 28/08/11 → 2/09/11 |
Internet address |