By introducing the S-procedure and a cyclic-small-gain condition, novel controller design conditions in terms of linear matrix inequalities (LMIs) are derived, which allow for reducing the worst case peak output due to measurement errors with satisfying an L∞-norm constraint.
Furthermore, deriving the controller synthesis conditions via a non-quadratic Lyapunov function (NQLF) relaxes the obtained conditions.
Then, based on a Markovian Lyapunov Krasovskii formulation of SSG condition together with some convexification techniques, the stability analysis and state-feedback H∞ controller synthesis conditions for the underlying MJLSs are formulated in terms of linear matrix inequalities.
The controller existence conditions can be derived in terms of linear matrix inequalities (LMIs).
The results are then extended to provide memory-resilient controller synthesis conditions.
These new PDC controller design conditions constitute an alternative to previously proposed D-stabilizing non-PDC controller ones.
This paper proposes novel linear matrix inequality (LMI) stability analysis and controller design conditions for nonlinear chaotic power systems.
Estimates for the probability of controller instability conditions are derived using a simplified response surface approach combined with FORM/SORM approximations.
The proposed approach provides relaxed stability analysis and controller design conditions due to the framework that is considered during the formulation derivation.
Besides the proposed controller synthesis conditions a comparison is made between the use of parameter-dependent Lyapunov functions and Lyapunov Krasovskii functions for stability analysis.
