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This paper presents an observer-based periodic event-triggered strategy for linear systems subject to input cone-bounded nonlinearities. Considering a discrete-time framework, conditions in the form of linear matrix inequalities are derived to ensure global or regional stability of the origin of the closed-loop system under the event-triggered control strategy. These conditions are cast into convex optimization problems to determine the event-triggering function parameters, aiming at reducing the number of control updates with respect to periodic implementations. Both the emulation and the co-design problems are addressed. Numerical examples with logarithmic quantization and saturation nonlinearities are presented to illustrate the method. [ABSTRACT FROM AUTHOR]

This paper addresses the problems of local stabilization and control of open-loop unstable discrete-time quadratic systems subject to persistent magnitude bounded disturbances and actuator saturation. Firstly, for some polytopic region of the state-space containing the origin, a method is derived to design a static nonlinear state feedback control law that achieves local input-to-state stabilization with a guaranteed stability region under nonzero initial conditions and persistent bounded disturbances. Secondly, the stabilization method is extended to deliver an optimized upper bound on the ℓ ∞ -induced norm of the closed-loop system for a given set of persistent bounded disturbances. Thirdly, the stabilization and ℓ ∞ designs are adapted to cope with actuator saturation by means of a generalized sector bound constraint. The proposed controller designs are tailored via a finite set of state-dependent linear matrix inequalities. Numerical examples are presented to illustrate the potentials of the proposed control design methods. Copyright © 2014 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

A method for synthesizing dynamic output feedback controllers for continuous time systems presenting actuators constrained in both amplitude and rate is proposed here. The considered controller structure is composed of a saturating integrator block connected to a linear compensator output, delivering a signal to the actuator input inside all its bounds. Considering that the plant is submitted to L2 bounded disturbances, linear matrix inequality conditions are proposed in order to ensure both external and internal stability of the closed loop system. [ABSTRACT FROM AUTHOR]