Global stabilization and restricted tracking for multiple integrators with bounded controls
Systems & Control Letters
Output regulation for linear systems subject to input saturation
Automatica (Journal of IFAC)
On Finite-Gain Stabilizability of Linear Systems Subject to Input Saturation
SIAM Journal on Control and Optimization
Semi-global stabilization of linear systems with position and rate-limited actuators
Systems & Control Letters
Control of Uncertain Systems with Bounded Inputs
Control of Uncertain Systems with Bounded Inputs
Control Systems with Actuator Saturation: Analysis and Design
Control Systems with Actuator Saturation: Analysis and Design
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Brief Paper: Global Control of Linear Systems with Saturating Actuators
Automatica (Journal of IFAC)
Brief Improving the performance of low-gain designs for bounded control of linear systems
Automatica (Journal of IFAC)
Global stabilization of multiple integrators with bounded controls
Automatica (Journal of IFAC)
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This paper is concerned with a Lyapunov inequality characterization of the eigenstructure assignment-based low gain feedback laws. With this characterization and our earlier characterizations of other low gain feedback design approaches, all existing low gain feedback designs are unified under this Lyapunov inequality framework, which in turn implies that all of these low gain feedback laws are both $L_{\infty}$ and $L_{2}$ low gain feedback. This Lyapunov inequality characterization also leads to a quadratic Lyapunov function for the closed-loop system, which is expected to play an important role in solving other control problems. This characterization also motivates a new Riccati inequality-based low gain feedback design, which not only possesses the appealing features of the existing low gain designs but also is computationally easy to carry out.