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This paper extends some recent results about linear quadratic control (LQC) using linear matrix inequalities (LMIs) to linear parameter varying (LPV) systems. At first, static specifications, where the weighting matrices are constant, are considered. Later, the concept of shifting linear quadratic control (SLQC), where some varying parameters are introduced and used to schedule not only the controller,...
This paper considers the observer design for one-sided Lipschitz nonlinear systems. Sufficient conditions for the existence of observer for these systems are provided and expressed in terms of linear matrix inequalities, which are easily and numerically tractable via standard software algorithms. It is proven that the proposed conditions are less conservative than some existing results in recent literature...
This paper considers the synthesis of infinity norm Lyapunov functions for discrete-time linear systems. A proper conic partition of the state-space is employed to construct a finite set of linear inequalities in the elements of the Lyapunov weight matrix. Under typical assumptions, it is proven that the feasibility of the derived set of linear inequalities is equivalent with the existence of an infinity...
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