Absolute stability conditions are established for nonlinear NI systems with gradient nonlinear feedback preserving positive definite storage, generalizing prior linear NI results and enabling potential energy shaping.
Output fee dback consensus for networked heterogeneous nonlinear negative-imaginar y systems with free-body motion
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Discrete-time bimodal and trimodal multi-HIGS controllers are negative imaginary and stabilize linear NI systems, demonstrated on a dual-stage MEMS force sensor with time- and frequency-domain experiments.
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Absolute Stability of Nonlinear Negative Imaginary Systems with Application to Potential Energy Shaping
Absolute stability conditions are established for nonlinear NI systems with gradient nonlinear feedback preserving positive definite storage, generalizing prior linear NI results and enabling potential energy shaping.
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Digital Control of Negative Imaginary Systems Using Discrete-Time Multi-HIGS: Application to a Dual-Stage MEMS Force Sensor
Discrete-time bimodal and trimodal multi-HIGS controllers are negative imaginary and stabilize linear NI systems, demonstrated on a dual-stage MEMS force sensor with time- and frequency-domain experiments.