Feedback Kalman-Yakubovich Lemma and its Applications to Adaptive Control

Passification of Non-square Linear Systems and Feedback Yakubovich - Kalman - Popov Lemma

H infinity Analysis Revisited

—This paper proposes a direct, and simple approach to the H∞ norm calculation in more general settings. In contrast to the method based on the Kalman–Yakubovich–Popov lemma, our approach does not require a controllability assumption, and returns a sinusoidal input that achieves the H∞ norm of the system including its frequency. In addition, using a semidefinite programming duality, we present a...

Absolute Stability of Feedback Systems in Hilbert Spaces

The problem of absolute stability of a feedback loop of an abstract diierential system in Hilbert spaces is considered. Applications of Popov's type frequency domain criteria and of the Kalman-Yakubovich Lemma for the construction of Lyapunov functions are illustrated, in two situations pertaining distributed sytems. Finally, a new criterion for absolute stability of a class of parabolic system...

Adaptive Output Feedback Based on Closed-Loop Reference Models for Hypersonic Vehicles

This paper presents a new method of synthesizing an output feedback adaptive controller for a class of uncertain, non-square, multi-input multi-output systems that often occur in hypersonic vehicle models. The main challenge that needs to be addressed is the determination of a corresponding square and strictly positive real transfer function. This paper proposes a new procedure to synthesize tw...

KYP lemma based stability and control law design for differential linear repetitive processes with applications

Repetitive processes are a class of two-dimensional systems that have physical applications, including the design of iterative learning control laws where experimental validation results have been reported. This paper uses the Kalman–Yakubovich–Popov lemma to develop new stability tests for differential linear repetitive processes that are computationally less intensive than those currently ava...