Chung Seop Jeong

Nonlinear observer design with general criteria

A class of nonlinear system and measurement equations involving incrementally conic nonlinearities with finite energy disturbances is considered. A linear matrix inequality based observer design approach is presented that guarantees the satisfaction of a variety of performance criteria ranging from simple estimation error boundedness to dissipativity. Simple simulation examples are included to explore the freedom in design and to illustrate and provide support to the proposed design methodology.

Resilient design of observers with general criteria using LMIs

Much of the recent work on robust control or observer design has focused on preservation of stability of the controlled system or the convergence of the observer in the presence of parameter perturbations in the system and/or measurement equations. The present work addresses the important problem of resilience or non-fragility of observers, which is the maintenance of convergence or performance when the observer gain is perturbed due possibly to computational or implementation errors. A linear matrix inequality approach is presented that maximizes performance of the observer based on the knowledge of an upper bound on the error in the observer gain. Simulation studies are included to test the conservativeness of this design procedure

Resilient design of discrete-time observers with general criteria using LMIs

Much of the recent work on robust control or observer design has focused on preservation of stability of the controlled system or the convergence of the observer in the presence of parameter perturbations in the plant equations. This paper addresses the important problem of resilience or non-fragility which is the maintenance of convergence or performance when the observer is erroneously implemented due possibly to computational errors, i.e. round off errors in digital implementation or actuator errors, etc. A linear matrix inequality approach is presented that maximizes performance in the implementation based on the knowledge of an upper bound on the error in the observer gain. Simulation examples complement the theoretical results.

Robust controller design with general criteria for uncertain conic nonlinear systems with disturbances

A robust state feedback scheme is proposed to control a large class of continuous-time uncertain nonlinear systems with locally conic type nonlinearities and driven by finite energy disturbances. It is assumed that there is also uncertainty regarding the center and the boundary of the cone in which the nonlinearity resides in order to allow the robust control of systems whose models contain a higher degree of uncertainty. Results are presented for various performance criteria using linear matrix inequalities. Illustrative examples are included to demonstrate the efficiency of the proposed approach.

Robust nonlinear feedback control of discrete-time nonlinear systems with mixed performance criteria

A novel nonlinear state feedback control design is presented for discrete-time nonlinear systems and mixed performance criteria. The purpose behind this new approach is to convert a nonlinear system control design into a convex optimization problem involving state dependent linear matrix inequality solutions. By solving the inequalities at each time step, the optimal control solution is found to satisfy mixed performance criteria guaranteeing quadratic optimality with inherent stability property in combination with H∞ or a passivity type of disturbance reduction. The effectiveness of the proposed technique is demonstrated by simulations involving the control of a benchmark mechanical system.

Lyapunov-based design of resilient observers for a class of nonlinear systems and general performance criteria

A class of continuous-time nonlinear system and measurement equations having incrementally conic nonlinearities and finite energy disturbances is considered. A Lyapunov based resilient observer design approach is presented, which guarantees the satisfaction of a variety of performance criteria ranging from estimation error boundedness to dissipativity of various types. Linear matrix inequalities are used in the feasibility study of the solution. Some simulation studies are included to illustrate and provide support to the effectiveness of the proposed design methodology.

Stochastically resilient design of H ∞ observers for discrete-time nonlinear systems

A linear matrix inequality based Hinfin- type state observer design approach is presented for smooth discrete time nonlinear systems with finite energy disturbances. This observer is designed to maintain disturbance attenuation performance in case of randomly varying perturbations in its gain. A linear matrix inequality is used at each time instant to find the time-varying gain of the observer. Simulation studies are included to explore the performance in comparison to the extended Kalman filter.

Resilient observer design for discrete-time nonlinear systems with general criteria

A class of discrete-time nonlinear system and measurement equations having incrementally conic nonlinearities and finite energy disturbances is considered. A linear matrix inequality based resilient observer design approach is presented to guarantee the satisfaction of a variety of performance criteria ranging from simple estimation error boundedness to dissipativity in the presence of bounded perturbations on the gain. Some simulation examples are included to illustrate the proposed design methodology.

Lyapunov-based design of resilient mixed MSE-dissipative-type state observers for a class of nonlinear systems and general performance criteria

A class of continuous-time nonlinear system and measurement equations having locally incrementally conic nonlinearities and finite energy disturbances is considered. A Lyapunov-based resilient mixed mean square error (MSE)-dissipative-type state observer design approach is presented, which guarantees the satisfaction of MSE-type estimation error performance together with a variety of dissipative performance criteria ranging from H∞ to passivity of various types. Linear matrix inequalities are used in the feasibility study of the solution. Some simulation examples are included to illustrate and provide support to the effectiveness of the proposed design methodology.

Discrete-time nonlinear observer design with general criteria

A class of discrete-time nonlinear system and measurement equations involving incrementally conic nonlinearities with finite energy disturbances is considered. A linear matrix inequality based design approach is presented that guarantees the satisfaction of a variety of performance criteria ranging from simple estimation error boundedness to dissipativity. Simple simulation examples are included to illustrate and provide support to the proposed design methodology.