A Nonlinear Static Output Controller Design for Polynomial Systems: An Iterative Sums of Squares Approach

This paper presents an iterative sum of squares approach for designing a nonlinear static output feedback control for polynomial systems. In this work, the problem of designing a nonlinear static output feedback controller is converted into solvability conditions of polynomial matrix inequalities. An iterative algorithm based on the sum of squares decomposition technique is proposed to resolve the non-convex terms issue and convert it to the convex problem, hence a feasible solution for polynomial matrix inequalities can be obtained efficiently. Numerical examples are provided at the end of the paper as to demonstrate the validity of applied metho

ROBUST STATE FEEDBACK CONTROL OF UNCERTAIN POLYNOMIAL DISCRETE-TIME SYSTEMS: AN INTEGRAL ACTION APPROACH

his paper examines the problem of designing a nonlinear state feedback controller for polynomial discrete-time systems with parametric uncertainty. In general, this is a challenging controller design problem due to the fact that the relation between Lyapunov function and the control input is not jointly convex; hence, this problem cannot be solved by a semidenite programming (SDP). In this paper, a novel approach is proposed, where an integral action is incorporated into the controller design to convexify the controller design problem of polynomial discrete-time systems. Based on the sum of squares (SOS) approach, sufficient conditions for the existence of a nonlinear state feedback controller for polynomial discrete-time systems are given in terms of solvability of polynomial matrix inequalities, which can be solved by the recently developed SOS solver. Numerical examples are provided to demonstrate the validity of this integral action approach

Nonlinear robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sum of squares approach

The design of a robust nonlinear H∞ static output feedback controller for parameter dependent polynomial systems is a hard problem. This paper presents a computational relaxation in form of an iterative design approach. The proposed controller guarantees the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H∞ static output feedback controller are given in terms of solvability conditions of polynomial matrix inequalities, which are solved using sum of squares decomposition. Numerical examples are provided to demonstrate the validity of the applied methods

Nonlinear H∞ static output feedback controller design for polynomial systems: An iterative sums of squares approach

An iterative approach for the design of a nonlinear H∞ static output feedback controller for polynomial systems is presented in this paper. The proposed controller guarantees the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H∞ static output feedback controller are given in terms of solvability conditions of polynomial matrix inequalities, which are solved using sum of squares decomposition. Numerical examples are provided to demonstrate the validity of applied methods

A development of class e converter circuit for loosely coupled inductive power transfer system

This paper presents an Inductive Power Transfer (IPT) system design using a Class E converter circuit. The Class E converter is used to drive a nonlinear load and theoretically it offers 100% efficiency. To be specifically, the performance of IPT system at 1MHz operating frequency and 9V DC supply voltage is analyzed. Voltage doubler rectifier and Darlington circuit are proposed in this paper to maximize output power. Moreover, to ensure the resonant inductive coupling in IPT system,capacitor compensation is also proposed in this work. Based on the experimental results, the output power with the capacitor compensation circuit is 1.6W at 15 mm air gap distance is better than the circuit without a capacitor compensation

Nonlinear static output feedback controller design for uncertain polynomial systems: An iterative sums of squares approach

This paper examines the problem of designing a nonlinear static output feedback controller for uncertain polynomial systems via an iterative sums of squares approach. The derivation of the static output feedback controller is given in terms of the solvability conditions of state dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the sum of squares (SOS) decomposition is proposed to solve these state-dependent BMIs. Finally, numerical examples are provided at the end of the paper as to demonstrate the validity of the proposed design techniqu

Robust H∞ static output feedback controller design for parameter dependent polynomial systems: An iterative sums of squares approach

This paper considers the problem of designing a robust H∞ static output feedback controller for polynomial systems with parametric uncertainties. Sufficient conditions for the existence of a nonlinear H∞ static output feedback controller are given in terms of solvability conditions of polynomial matrix inequalities. An iterative sum of squares decomposition is proposed to solve these polynomial matrix inequalities. The proposed controller guarantees that the closed-loop system is stable and the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. Numerical examples are provided to demonstrate the validity of applied methods

A New Design of Capacitive Power Transfer Based on Hybrid Approach for Biomedical Implantable Device

This paper presents the development of a new design method of capacitive power transfer (CPT) which is based on hybrid concept for Biomedical Implants. This method is able to improve various issues found in the widely used CPT system that is bipolar CPT method. Based on the ability of this purposed, the simulation of the CPT system has been designed to prove an amount of power transferred through a layer of tissue. The design used to validate the suggested model which to powering implanted device, and it was performed with 3cm square plates, which have a layer of beef with the 5mm thickness in between 2 coupling plate. Power signal was generated by Class E zero voltage switching. The Class E zero voltage switching has been designed to generating alternate current with the 1MHz frequency appropriate to the hybrid CPT system specification.

Simulation Study on Self-frequency Tracking Control Strategy for Inductive Power Transfer System

This paper presents a closed loop Inductive Power Transfer (IPT) system. In this work, the Phased Lock Loop control system is used to control the frequency of Class E resonant converter circuit. Furthermore, self-frequency tracking control strategy with simple detection circuit is proposed as a feedback circuit to IPT system. Through this method, the frequency drifting that is due to variation in reactive components or mutual inductive coupling can be avoided successfully. The IPT system with and without frequency tracking is analyzed at different coupling coefficient. Simulation results confirm that the Class E resonant power converter circuit with frequency tracking gives a better output result with 92% efficiency at 0.8 of coupling coefficien