This paper addresses the problem of finding linear quadratic regulator (LQR) weights such that associated discrete-time algebraic Riccati equations admit a common optimal stabilising solution. Solving is key to designing LQR controllers stabilise switched systems under arbitrary switching, or polytopic (e.g., Takagi-Sugeno fuzzy and parameter varying systems) in entire operating region. To ensu...

Performing computations with a low-bit number representation results in a faster implementation that uses less silicon, and hence allows an algorithm to be implemented in smaller and cheaper processors without loss of performance. We propose a novel formulation to efficiently exploit the low (or nonstandard) precision number representation of some computer architectureswhen computing the soluti...

In this paper we consider a class of matrix Riccati equations arising from stochastic LQR problems. We prove a monotonicity of solutions to the differential Riccati equations, which leads to a necessary and sufficient condition for the existence of solutions to the algebraic Riccati equations. In addition, we obtain results on comparison, uniqueness, stabilizability and approximation for soluti...

Biped robots that are expected to locomote in human environments require whole-body controllers that can offer precise tracking and well-defined disturbance rejection behavior. Although walking is a complex dynamical task involving both hybrid dynamics and underactuation, it is unclear the level of complexity needed to generate and execute these tasks. Previously in [4], we experimentally evalu...

A 2-DOF vehicle active suspension system model with time-delay feedback control is established. The stability region of the obtained by using Routh-Hurwitz criterion and polynomial discriminant theory. multi-objective optimization function established taking into account ride comfort, driving safety, handling stability, optimal parameters are particle swarm optimization(PSO) algorithm. vibratio...

This work presents a control scheme to grid-connected single-phase photovoltaic (PV) system. The considered system has four 250 W solar panels, non-inverting buck-boost DC-DC converter, and DC-AC inverter with an inductor-capacitor-inductor (LCL) filter. aims track operate at the maximum power point (MPP) of PV regulate voltage DC link, supply grid unity factor. To achieve these goals, proposed...