Ankit Sachan

Hiroshima University | HU · Mechanical Engineering Program

This study presents the event-triggered control (ETC) for linear parameter varying (LPV) model of boost converters. We examine the nonlinear dynamics of boost converters in the LPV framework. The proposed controller is duty-ratio-dependent and provides better performance while requiring less computation. Using the parameter-dependent Lyapunov funct...

This paper presents the design of output feedback controllers for discrete‐time (DT) linear systems. New sufficient LMI conditions are derived for designing static H2$$ {H}_2 $$ and H∞$$ {H}_{\infty } $$ controllers using decomposition of an auxiliary matrix. The decomposition facilitates linearization of nonlinear term of reduced size to obtain li...

This paper addresses the invariant [K, KL] sector as a special class of [K, KL] sector that holds the invariant characteristics with some appropriate control input, i.e. the energy of the system drastically decreases and state trajectory always remains inside the sector once it moves into it by the suitable control signal. The analysis of the nonli...

In this brief, a class of comparison functions is defined to design the nonlinear sectors for continuous/discrete-time analysis and ensure uniformity in the solution. The results of Matrosov’s proof are incorporated to fragment the state-space to design both the continuous and the discrete-time $[\mathcal {K},\mathcal {KL}]$ sectors. Moreover, a...

A Hands-off control law is investigated to asymptotically stabilize a nonlinear system with input-quantization. The quantization parameters generated at the coder and decoder sides of the communication channel are mismatched and a time-varying ratio is modelled to show the non-synchronous adjustment of the quantization parameters. By the means of K...

Abstract This paper proposes a distributed artificially delayed output feedback‐based leader–follower and leaderless consensus control for the uncertain general linear multiagent systems (MASs) with an arbitrary relative degree. Based on the measured relative output and their delayed information with respect to neighbours, two distributed controlle...

This paper addresses a quantized feedback hands-off control for a class of nonlinear systems. Here, [K; KL] sector is constructed with the suitable choice of control-Lyapunov function. With adjustment policy of quantization parameters, the quantized feedback hands-off control can force the states of the nonlinear feedback system to the interior of...

In this paper, an implicit Euler algorithm for digital implementation of constrained stabilization is studied for the second-order systems. For that, a switching controller is designed in a discrete-time framework such that the system's position output converges to some predefined range, i.e., $\varrho \in (-\varepsilon,\varepsilon)$ in finite-time...

This paper proposes a sliding mode approach for leader-following formation control of perturbed second-order autonomous unmanned systems (AUSs) under directed topology. The leader velocity is assumed to be constant. The formation controller performs two objectives: (i) it obtains the formation control of all the followers, (ii) it achieves the velo...

In this paper, a proxy sliding mode control (PSMC) is designed for a DC–DC buck converter. The mathematical form of the controller combines the proportional–integral–derivative controller and a sliding mode controller in an algebraic way. The objective of the control is to regulate the output voltage of the DC–DC buck converter in the presence of l...

This paper presents a Hands-Off control design for discrete-time nonlinear system with a special type of nonlinear sector termed as “discrete-time [K, KL] sector". The design method to define the boundary of a discrete-time [K, KL] sector is done with control-Lyapunov function. The generalization of nonlinear system is viewed in the perspective of...

This paper suggests an approach to design a robust [K;KL] sector for nonlinear system subjected to parametric/ model uncertainty and this design relies on the Matrosov’s results. The nonlinear surface to decide the boundaries of a sector is designed by using a control-Lyapunov function. Here, a Hands- Off control consists of constant and state-depe...

This paper suggests an approach to design a robust [K;KL] sector for nonlinear system subjected to parametric/ model uncertainty and this design relies on the Matrosov’s results. The nonlinear surface to decide the boundaries of a sector is designed by using a control-Lyapunov function. Here, a Hands-Off control consists of constant and state-depen...

In this paper, we concerned to achieve an asymptotic stabilization of a generalized nonlinear system with significant uncertainties by rendering a relatively lesser amount of control. Here, a combined control consist of Hands-Off control and an adaptive sliding mode control is allowed to adjust the movement of system state to the interior of [K,KL]...

A new approach for asymptotic stabilization of a general input-affine nonlinear system is presented. This relies upon the results of Matrosov's theorem to decompose the nth dimensional space. The construction of the [K,KL] sector for a nonlinear system is done with the suitable choice of control-Lyapunov function. The study of a nonlinear system is...

This paper studies formation of multiple mobile agents with double integrator dynamics and their target tracking. An algorithm consisting of an observer and a feedback control law of the non-smooth type is proposed for the purpose of achieving finite-time formation and target tracking. The development is based on the Multi-input Multi-output (MIMO...

Power system stability is defined as the ability of power system to preserve its steady stability or recover the initial steady state after any deviation of the system's operation. Present time power systems are being operated nearer to their stability limits due to economic and environmental reasons. Maintaining a stable and secure operation of a...

This paper proposes an extended approach for order reduction of high order interval models through stability preservation approach. The numerator and denominator of reduced order model are obtained by β & α table respectively. The proposed method is computationally simple and preserves the stability of reduced order system if higher order system is...