Abstract
Using the parameter-dependent Lyapunov function framework of Haddad and Bernstein this paper extends and connects some of the classical absolute stability results on discrete-time systems with monotonic and odd monotonic feedback nonlinearities to modern robust stability and performance problems for constant real parameter uncertainty. As in the continuous-time case, it is shown that an immediate application of this framework provides a generalization and reformulation of discrete-time mixed-μ theory in terms of Lyapunov functions and Riccati equations while blending H2 robust performance within the n framework.
Original language | English (US) |
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Pages (from-to) | 423-441 |
Number of pages | 19 |
Journal | International Journal of Control |
Volume | 61 |
Issue number | 2 |
DOIs | |
State | Published - Feb 1995 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications