Measures and LMI for space launcher robust control validation

Measures and LMI for Space Launcher Robust Control Validation

We describe a new temporal verification framework for safety and robustness analysis of nonlinear control laws, our target application being a space launcher vehicle. Robustness analysis, formulated as a nonconvex nonlinear optimization problem on admissible trajectories corresponding to piecewise polynomial dynamics, is relaxed into a convex linear programming problem on measures. This infinit...

Preprint: LMI Relaxations in Robust Control

The purpose of this tutorial paper is to discuss the important role of robust linear matrix inequalities with rational dependence on uncertainties in robust control. We review how various classical relaxations based on the S-procedure can be subsumed to a unified framework. Based on Lagrange duality for semi-definite programs, we put particular emphasis on a clear understanding under which cond...

Robust Structured Control Design Via LMI Optimization

Abstract: This paper presents a new procedure for discrete-time robust structured control design. Parameter-dependent nonconvex conditions for stabilizable and induced L2-norm performance controllers are solved by an iterative linear matrix inequalities (LMI) optimization. A wide class of controller structures including decentralized of any order, fixed-order dynamic output feedback, static out...

LMI-Constrained Concave Programs in Robust Control

We show in the present paper that many open and challenging problems in control theory belong to the class of concave minimization programs. More precisely, these problems can be recast as the minimization of a concave objective function over convex LMI (Linear Matrix Inequality) constraints. In this setting, these problems can then be eeciently handled using local and/or global optimization te...

LMI conditions for robust adaptive control of MIMO LTI systems