This study introduces a mixed 2 fuzzy output feedback control design method for nonlinear systems with guaranteed control performance. First, the Takagi and Sugeno fuzzy model is employed to approximate a nonlinear system. Next, based on the fuzzy model, a fuzzy observer-based mixed 2 controller is developed to achieve the suboptimal 2 control performance with a desired disturbance rejection co...

Robust walking under various ground condition is required for application of biped robots. Some researches deal with the biped robot control considering foot slip as [1] and [2]. However, few research deal with recovery control after slip. Our work presents balance recovery trajectory design and disturbance-observer (DOB) based control [3]. Balance recovery trajectory is designed through slip r...

The Robust control problem for time varying uncertain linear systems with non-commensurate time varying state and control delays is studied. By solving LMIs we design robust controller, via an observer-based output feedback, which stabilizes the system and reduces the effect of the disturbance input on the controlled output for all admissible uncertainties. The results depend on the time deriva...

A nervous system consists of a large number of highly interconnected nerve cells. Nerve cells communicate by generation and transmission of short electrical pulses (action potential). In addition, membrane voltage is the only measurable state in nervous systems. A robust observer-based model reference tracking control is proposed for Hodgkin-Huxley (HH) neuron systems to generate a desired refe...

— This paper studies the use of control contraction metrics in the solution of several problems in nonlinear control. We discuss integrability conditions of controls and give concrete results for mechanical systems. We also study the relationship between existence of a metric and differential L 2 gain, a form of differential dissipativity, and the use of convex optimization for robust stabiliza...

This paper studies the high-performance robust motion control of machine tools. The newly proposed adaptive robust control (ARC) is applied to make the resulting closed-loop system robust to model uncertainties, instead of the disturbance observer (DOB) design previously tested by many researchers. Compared to DOB, the proposed ARC has a better tracking performance and transient in the presence...

This paper proposes a robust fault detection observer based on zonotopes for discrete-time uncertain systems with sensor faults and unknown but bounded uncertainties. The main advantage of this method is that the observer gain of the robust zonotopic observer is designed to be robust against bounded uncertainties while being sensitive to faults. In order to detect sensor faults with low magnitu...