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Incremental 2 -gain analysis of piecewise-affine systems using piecewise quadratic storage functions
2016 Edition, December 1, 2016 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper we are interested in the incremental stability of piecewise-affine (PWA) systems. We present conditions to compute an upper bound on the incremental ℒ2-gain based on dissipativity analysis. These conditions are expressed as...

A Novel Piecewise Affine Filtering Design for T-S Fuzzy Affine Systems Using Past Output Measurements
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper tackles the problem of piecewise affine memory filtering design for the discrete-time norm-bounded uncertain Takagi-Sugeno fuzzy affine systems. The objective is to design an admissible filter using past output measurements of the...

LMI-based Stability Analysis for Piecewise Multi-Affine Systems
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper provides a computational method to study the asymptotic stability of piecewise multi-affine systems. Such systems stem from a class of fuzzy systems with singleton consequents and can be used to approximate any smooth nonlinear...

A Descriptor System Approach to Stability and Stabilization of Discrete-Time Switched PWA Systems
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The stability and stabilization problems for a class of switched discrete-time nonlinear systems are studied in this paper. Each nonlinear subsystem of the presented switched system is modeled as a piecewise affine one by splitting the state space into...

Model-Based Fault Detection and Estimation for Linear Time Invariant and Piecewise Affine Systems by Using Quadratic Boundedness
2018 Edition, December 1, 2018 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Quadratic boundedness is a notion of stability that is adopted to investigate the design of observers for dynamic systems subject to bounded disturbances. We will show how to exploit such observers for the purpose of fault detection. Toward this end, first...

Stability of piecewise affine systems through discontinuous piecewise quadratic Lyapunov functions
2017 Edition, December 1, 2017 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

State-dependent switched systems characterized by piecewise affine (PWA) dynamics in a polyhedral partition of the state space are considered. Sufficient conditions on the vectors fields such that the solution crosses the common boundaries of the polyhedra are...

Feedback design for multi-contact push recovery via LMI approximation of the Piecewise-Affine Quadratic Regulator
2017 Edition, November 1, 2017 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

To recover from large perturbations, a legged robot must make and break contact with its environment at various locations. These contact switches make it natural to model the robot as a hybrid system. If we apply Model Predictive Control to the feedback design of this hybrid...

Fuzzy-Affine-Model-Based Output Feedback Dynamic Sliding Mode Controller Design of Nonlinear Systems
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper investigates the problem of output feedback sliding mode control (SMC) for a class of uncertain nonlinear systems through Takagi-Sugeno fuzzy affine models. By adopting a state-input augmentation method, a descriptor system is first constructed to...

Optimal control of piecewise affine systems
2015 Edition, November 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper we discuss the issue of optimal control of piecewise affine systems based on discontinuous quadratic Lyapunov function, given the stability of the said system, first we calculate the upper bound of the cost...

Improved adaptive Hinf controller synthesis of piecewise affine systems with application to flight control
2016 Edition, August 1, 2016 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper considers the adaptive Hinf control problem for piecewise affine systems(PWS), a novel synthesis framework is presented based on piecewise quadratic Lyapunov function instead of common quadratic Lyapunov function(PQLF) to...

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