Abstract
Dissipativity and feedback passivity properties in nonlinear multiple-input multiple-output (MIMO) discrete-time systems are examined. Three main results are presented. First, necessary and sufficient conditions for the characterization of a class of dissipative nonlinear MIMO discrete-time systems in general form are proposed. The class of dissipativity treated is referred to as Quadratic Storage Supply-dissipativity. The conditions existing in the literature, addressed as Kalman-Yakubovich-Popov conditions, for the dissipative, passive or lossless cases, are derived from the proposed dissipativity characterization. Second, some relative degree-related properties of nonlinear MIMO Quadratic Storage-passive systems which are affine in the input are stated. Third, the problem of rendering a nonlinear affine-in-input MIMO discrete-time system passive using the properties of the relative degree and zero dynamics is analyzed. Quadratic Storage-passive systems are considered. The feedback passivity methodology is illustrated by means of a class of systems modelling different discrete dynamics with physical interpretation. Copyright © 2007 Watam Press.
| Original language | English |
|---|---|
| Pages (from-to) | 47-63 |
| Number of pages | 16 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms |
| Volume | 14 |
| Issue number | 1 |
| Publication status | Published - Feb 2007 |
Keywords
- Discrete-time systems
- Dissipativity
- Feedback passivity
- Feedback stabilization
- Nonlinear systems